메뉴 건너뛰기




Volumn 40, Issue 46, 2007, Pages

Nonequilibrium steady states of matrix-product form: A solver's guide

Author keywords

[No Author keywords available]

Indexed keywords


EID: 35648990568     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/46/R01     Document Type: Article
Times cited : (690)

References (213)
  • 1
    • 36149021145 scopus 로고
    • Fluctuations and irreversible processes
    • Onsager L and Machlup S 1953 Fluctuations and irreversible processes Phys. Rev. 91 1505
    • (1953) Phys. Rev. , vol.91 , Issue.6 , pp. 1505
    • Onsager, L.1    MacHlup, S.2
  • 2
    • 36149007093 scopus 로고
    • Fluctuations and irreversible processes: II. Systems with kinetic energy
    • Onsager L and Machlup S 1953 Fluctuations and irreversible processes: II. Systems with kinetic energy Phys. Rev. 91 1512
    • (1953) Phys. Rev. , vol.91 , Issue.6 , pp. 1512
    • Onsager, L.1    MacHlup, S.2
  • 5
    • 34547676441 scopus 로고    scopus 로고
    • Non-equilibrium work relations
    • Kurchan J 2007 Non-equilibrium work relations J. Stat. Mech.: Theor. Exp. P07005
    • (2007) J. Stat. Mech.: Theor. Exp. , vol.2007 , Issue.7 , pp. 07005
    • Kurchan, J.1
  • 6
    • 34547700548 scopus 로고    scopus 로고
    • Fluctuation theorems for stochastic dynamics
    • Harris R J and Schütz G M 2007 Fluctuation theorems for stochastic dynamics J. Stat. Mech: Theor. Exp. P07020
    • (2007) J. Stat. Mech: Theor. Exp. , vol.2007 , Issue.7 , pp. 07020
    • Harris, R.J.1    Schütz, G.M.2
  • 7
    • 33846477986 scopus 로고    scopus 로고
    • Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
    • Taniguchi T and Cohen E G D 2006 Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems J. Stat. Phys. 126 1-41
    • (2006) J. Stat. Phys. , vol.126 , Issue.1 , pp. 1-41
    • Taniguchi, T.1    Cohen, E.G.D.2
  • 9
    • 0036788019 scopus 로고    scopus 로고
    • Nonequilibrium dynamics in low-dimensional systems
    • Evans M R and Blythe R A 2002 Nonequilibrium dynamics in low-dimensional systems Physica A 313 110
    • (2002) Physica , vol.313 , Issue.1-2 , pp. 110
    • Evans, M.R.1    Blythe, R.A.2
  • 14
    • 21244491635 scopus 로고    scopus 로고
    • Nonequilibrium statistical mechanics of the zero-range process and related models
    • Evans M R and Hanney T 2005 Nonequilibrium statistical mechanics of the zero-range process and related models J. Phys. A: Math. Gen. 38 R195-240
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.19
    • Evans, M.R.1    Hanney, T.2
  • 15
    • 84892803031 scopus 로고    scopus 로고
    • Blythe R A 2001 Nonequilibrium steady states and dynamical scaling regimes PhD Thesis University of Edinburgh
    • (2001) PhD Thesis
    • Blythe, R.A.1
  • 16
    • 34547691286 scopus 로고    scopus 로고
    • Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
    • Zia R K P and Schmittmann B 2007 Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states J. Stat. Mech.: Theor. Exp. P07012
    • (2007) J. Stat. Mech.: Theor. Exp. , vol.2007 , Issue.7 , pp. 07012
    • Zia, R.K.P.1    Schmittmann, B.2
  • 17
    • 0000382231 scopus 로고    scopus 로고
    • Yang-Lee theory for a nonequilibrium phase transition
    • Arndt P F 2000 Yang-Lee theory for a nonequilibrium phase transition Phys. Rev. Lett. 84 814
    • (2000) Phys. Rev. Lett. , vol.84 , Issue.5 , pp. 814
    • Arndt, P.F.1
  • 19
    • 11844280617 scopus 로고    scopus 로고
    • Lee-Yang zeros and phase transitions in nonequilibrium steady states
    • Blythe R A and Evans M R 2002 Lee-Yang zeros and phase transitions in nonequilibrium steady states Phys. Rev. Lett. 89 080601
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.8 , pp. 080601
    • Blythe, R.A.1    Evans, M.R.2
  • 21
    • 0002214237 scopus 로고    scopus 로고
    • An exactly soluble non-equilibrium system: The asymmetric simple exclusion process
    • Derrida B 1998 An exactly soluble non-equilibrium system: the asymmetric simple exclusion process Phys. Rep. 301 65
    • (1998) Phys. Rep. , vol.301 , Issue.1-3 , pp. 65
    • Derrida, B.1
  • 22
    • 4243450938 scopus 로고
    • Bethe solution for the dynamical-scaling exponent of the noisy Burgers equation
    • Gwa L H and Spohn H 1992 Bethe solution for the dynamical-scaling exponent of the noisy Burgers equation Phys. Rev. A 46 844
    • (1992) Phys. Rev. , vol.46 , Issue.2 , pp. 844
    • Gwa, L.H.1    Spohn, H.2
  • 23
    • 0001288820 scopus 로고
    • Bethe ansatz solution for crossover scaling functions of the asymmetric XXZ chain and the Karder-Parisi-Zhang-type growth model
    • Kim D 1995 Bethe ansatz solution for crossover scaling functions of the asymmetric XXZ chain and the Karder-Parisi-Zhang-type growth model Phys. Rev. E 52 3512
    • (1995) Phys. Rev. , vol.52 , Issue.4 , pp. 3512
    • Kim, D.1
  • 24
    • 33244456980 scopus 로고    scopus 로고
    • Bethe ansatz solution of the asymmetric exclusion process with open boundaries
    • de Gier J and Essler F H L 2005 Bethe ansatz solution of the asymmetric exclusion process with open boundaries Phys. Rev. Lett. 95 240601
    • (2005) Phys. Rev. Lett. , vol.95 , Issue.24 , pp. 240601
    • De Gier, J.1    Essler, F.H.L.2
  • 25
    • 0040238394 scopus 로고    scopus 로고
    • Exact solution of the master equation for the asymmetric exclusion process
    • Schütz G M 1997 Exact solution of the master equation for the asymmetric exclusion process J. Stat. Phys. 88 427-45
    • (1997) J. Stat. Phys. , vol.88 , Issue.1-2 , pp. 427-445
    • Schütz, G.M.1
  • 26
    • 0000439075 scopus 로고    scopus 로고
    • Universal distributions for growth processes in 1 + 1 dimensions and random matrices
    • Prähofer M and Spohn H 2000 Universal distributions for growth processes in 1 + 1 dimensions and random matrices Phys. Rev. Lett. 84 4882-5
    • (2000) Phys. Rev. Lett. , vol.84 , Issue.21 , pp. 4882-4885
    • Prähofer, M.1    Spohn, H.2
  • 27
    • 4844231719 scopus 로고    scopus 로고
    • Asymmetric simple exclusion process and modified random matrix ensembles
    • Nagao T and Sasamoto T 2004 Asymmetric simple exclusion process and modified random matrix ensembles Nucl. Phys. B 699 487
    • (2004) Nucl. Phys. , vol.699 , pp. 487
    • Nagao, T.1    Sasamoto, T.2
  • 28
    • 0001043453 scopus 로고
    • Application of operator algebras to stochastic dynamics and the Heisenberg chain
    • Stinchcombe R B and Schütz G M 1995 Application of operator algebras to stochastic dynamics and the Heisenberg chain Phys. Rev. Lett. 75 140-3
    • (1995) Phys. Rev. Lett. , vol.75 , Issue.1 , pp. 140-143
    • Stinchcombe, R.B.1    Schütz, G.M.2
  • 29
    • 0032305522 scopus 로고    scopus 로고
    • Dynamic matrix ansatz for integrable reaction-diffusion processes
    • Schütz G M 1998 Dynamic matrix ansatz for integrable reaction-diffusion processes Eur. Phys. J. B 5 589-97
    • (1998) Eur. Phys. J. , vol.5 , Issue.3 , pp. 589-597
    • Schütz, G.M.1
  • 30
    • 33749384427 scopus 로고    scopus 로고
    • The asymmetric simple exclusion process: An integrable model for non-equilibrium statistical mechanics
    • Golinelli O and Mallick K 2006 The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics J. Phys. A: Math. Gen. 39 12679-705
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.41 , pp. 12679-12705
    • Golinelli, O.1    Mallick, K.2
  • 31
    • 34547654109 scopus 로고    scopus 로고
    • Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques
    • Sasamoto T 2007 Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques J Stat. Mech.: Theor. Exp. P07007
    • (2007) J Stat. Mech.: Theor. Exp. , vol.2007 , Issue.7 , pp. 07007
    • Sasamoto, T.1
  • 33
    • 0031097281 scopus 로고    scopus 로고
    • Origin of scale invariance in growth processes
    • Krug J 1997 Origin of scale invariance in growth processes Adv. Phys. 46 139
    • (1997) Adv. Phys. , vol.46 , Issue.2 , pp. 139
    • Krug, J.1
  • 35
    • 0001405969 scopus 로고    scopus 로고
    • Statistical physics of vehicular traffic and some related systems
    • Chowdhury D, Santen L and Schadschneider A 2000 Statistical physics of vehicular traffic and some related systems Phys. Rep. 329 199
    • (2000) Phys. Rep. , vol.329 , Issue.4-6 , pp. 199
    • Chowdhury, D.1    Santen, L.2    Schadschneider, A.3
  • 36
    • 0000518269 scopus 로고    scopus 로고
    • Stochastic non-equilibrium systems
    • Stinchcombe R B 2001 Stochastic non-equilibrium systems Adv. Phys. 50 431-96
    • (2001) Adv. Phys. , vol.50 , Issue.5 , pp. 431-496
    • Stinchcombe, R.B.1
  • 37
    • 0142198818 scopus 로고    scopus 로고
    • Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
    • Schütz G M 2003 Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles J. Phys. A: Math. Gen. 36 R339-79
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.36
    • Schütz, G.M.1
  • 38
    • 0014245158 scopus 로고
    • Kinetics of biopolymerization on nucleic acid templates
    • MacDonald C T, Gibbs J H and Pipkin A C 1968 Kinetics of biopolymerization on nucleic acid templates Biopolymers 6 1
    • (1968) Biopolymers , vol.6 , Issue.1 , pp. 1
    • MacDonald, C.T.1    Gibbs, J.H.2    Pipkin, A.C.3
  • 40
    • 0001008463 scopus 로고
    • Diffusion with 'collisions' between particles
    • Harris T E 1965 Diffusion with 'collisions' between particles J. Appl. Probab. 2 323-38
    • (1965) J. Appl. Probab. , vol.2 , Issue.2 , pp. 323-338
    • Harris, T.E.1
  • 41
    • 0040261379 scopus 로고
    • Interaction of Markov processes
    • Spitzer F 1970 Interaction of Markov processes Adv. Math. 5 2
    • (1970) Adv. Math. , vol.5 , Issue.2 , pp. 246
    • Spitzer, F.1
  • 42
    • 0034273003 scopus 로고    scopus 로고
    • Statistical mechanics of traffic flow
    • Schadschneider A 2001 Statistical mechanics of traffic flow Physica A 285 101
    • (2001) Physica , vol.285 , Issue.1-2 , pp. 101
    • Schadschneider, A.1
  • 43
    • 0000656312 scopus 로고    scopus 로고
    • Universal properties of interacting Brownian motors
    • Aghababaie Y, Menon G I and Plischke M 1999 Universal properties of interacting Brownian motors Phys. Rev. E 59 2578
    • (1999) Phys. Rev. , vol.59 , Issue.3 , pp. 2578
    • Aghababaie, Y.1    Menon, G.I.2    Plischke, M.3
  • 44
    • 0000411465 scopus 로고    scopus 로고
    • Entropy-driven pumping in zeolites and biological channels
    • Chou T and Lohse D 1999 Entropy-driven pumping in zeolites and biological channels Phys. Rev. Lett. 82 3552
    • (1999) Phys. Rev. Lett. , vol.82 , Issue.17 , pp. 3552
    • Chou, T.1    Lohse, D.2
  • 45
    • 0347753714 scopus 로고    scopus 로고
    • Traffic of molecular motors through tube-like components
    • Klumpp S and Lipowsky R 2003 Traffic of molecular motors through tube-like components J. Stat. Phys. 113 233
    • (2003) J. Stat. Phys. , vol.113 , Issue.1-2 , pp. 233
    • Klumpp, S.1    Lipowsky, R.2
  • 46
    • 0037471125 scopus 로고    scopus 로고
    • Phase coexistence in driven one dimensional transport
    • Parmeggiani A, Franosch T and Frey E 2003 Phase coexistence in driven one dimensional transport Phys. Rev. Lett. 90 086601
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.8 , pp. 086601
    • Parmeggiani, A.1    Franosch, T.2    Frey, E.3
  • 48
    • 28844464300 scopus 로고    scopus 로고
    • Physics of transport and traffic phenomena in biology: From molecular motors and cells to organisms
    • Chowdhury D, Schadschneider A and Nishinari K 2005 Physics of transport and traffic phenomena in biology: from molecular motors and cells to organisms Phys. Life Rev. 2 318
    • (2005) Phys. Life Rev. , vol.2 , Issue.4 , pp. 318
    • Chowdhury, D.1    Schadschneider, A.2    Nishinari, K.3
  • 51
    • 14544271850 scopus 로고    scopus 로고
    • Spectral gap of the totally asymmetric exclusion process at arbitrary filling
    • Golinelli O and Mallick K 2005 Spectral gap of the totally asymmetric exclusion process at arbitrary filling J. Phys. A: Math. Gen. 38 1419
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.7 , pp. 1419
    • Golinelli, O.1    Mallick, K.2
  • 52
    • 27844506951 scopus 로고    scopus 로고
    • Spectral degeneracies in the totally asymmetric exclusion process
    • Golinelli O and Mallick K 2005 Spectral degeneracies in the totally asymmetric exclusion process J. Stat. Phys. 120 779
    • (2005) J. Stat. Phys. , vol.120 , Issue.5-6 , pp. 779
    • Golinelli, O.1    Mallick, K.2
  • 53
    • 0035470907 scopus 로고    scopus 로고
    • Traffic and related self-driven many-particle systems
    • Helbing D 2001 Traffic and related self-driven many-particle systems Rev. Mod. Phys. 73 1067-141
    • (2001) Rev. Mod. Phys. , vol.73 , Issue.4 , pp. 1067-1141
    • Helbing, D.1
  • 54
    • 0000090588 scopus 로고
    • On kinematic waves: II. A theory of traffic flow on long crowded roads
    • Lighthill M J and Whitham G B 1955 On kinematic waves: II. A theory of traffic flow on long crowded roads Proc. R. Soc. A 229 317
    • (1955) Proc. R. Soc. , vol.229 , Issue.1178 , pp. 317
    • Lighthill, M.J.1    Whitham, G.B.2
  • 56
    • 0033216540 scopus 로고    scopus 로고
    • Steady-state selection in driven diffusive systems with open boundaries
    • Popkov V and Schütz G 1999 Steady-state selection in driven diffusive systems with open boundaries Europhys. Lett. 48 257
    • (1999) Europhys. Lett. , vol.48 , Issue.3 , pp. 257
    • Popkov, V.1    Schütz, G.2
  • 57
    • 0035333395 scopus 로고    scopus 로고
    • Minimal current phase and universal boundary layers in driven diffusive systems
    • Hager J S, Krug J, Popkov V and Schütz G M 2001 Minimal current phase and universal boundary layers in driven diffusive systems Phys. Rev. E 63 056110
    • (2001) Phys. Rev. , vol.63 , Issue.5 , pp. 056110
    • Hager, J.S.1    Krug, J.2    Popkov, V.3    Schütz, G.M.4
  • 58
    • 0141857676 scopus 로고    scopus 로고
    • The asymmetric exclusion process revisited: Fluctuations and dynamics in the domain wall picture
    • Santen L and Appert C 2002 The asymmetric exclusion process revisited: fluctuations and dynamics in the domain wall picture J. Stat. Phys. 106 187-99
    • (2002) J. Stat. Phys. , vol.106 , pp. 187-199
    • Santen, L.1    Appert, C.2
  • 60
    • 0001366373 scopus 로고
    • An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
    • Derrida B, Domany E and Mukamel D 1992 An exact solution of a one-dimensional asymmetric exclusion model with open boundaries J. Stat. Phys. 69 667
    • (1992) J. Stat. Phys. , vol.69 , Issue.3-4 , pp. 667
    • Derrida, B.1    Domany, E.2    Mukamel, D.3
  • 61
    • 12044250009 scopus 로고
    • Boundary-induced phase transitions in driven diffusive systems
    • Krug J 1991 Boundary-induced phase transitions in driven diffusive systems Phys. Rev. Lett. 67 1882
    • (1991) Phys. Rev. Lett. , vol.67 , Issue.14 , pp. 1882
    • Krug, J.1
  • 62
    • 36149030302 scopus 로고
    • Exact solution of a 1d asymmetric exclusion model using a matrix formulation
    • Derrida B, Evans M R, Hakim V and Pasquier V 1993 Exact solution of a 1d asymmetric exclusion model using a matrix formulation J. Phys. A: Math. Gen. 26 1493
    • (1993) J. Phys. A: Math. Gen. , vol.26 , Issue.7 , pp. 1493
    • Derrida, B.1    Evans, M.R.2    Hakim, V.3    Pasquier, V.4
  • 63
    • 0040629192 scopus 로고
    • Phase transitions in an exactly soluable one-dimensional exclusion process
    • Schütz G and Domany E 1993 Phase transitions in an exactly soluable one-dimensional exclusion process J. Stat. Phys. 72 277
    • (1993) J. Stat. Phys. , vol.72 , Issue.1-2 , pp. 277
    • Schütz, G.1    Domany, E.2
  • 64
    • 0001372835 scopus 로고
    • Exact correlation functions in an asymmetric exclusion model with open boundaries
    • Derrida B and Evans M R 1993 Exact correlation functions in an asymmetric exclusion model with open boundaries J. Physique I 3 311
    • (1993) J. Physique , vol.3 , Issue.2 , pp. 311
    • Derrida, B.1    Evans, M.R.2
  • 65
    • 1442345696 scopus 로고    scopus 로고
    • The Lee-Yang theory of equilibrium and nonequilibrium phase transitions
    • Blythe R A and Evans M R 2003 The Lee-Yang theory of equilibrium and nonequilibrium phase transitions Braz. J. Phys. 33 464
    • (2003) Braz. J. Phys. , vol.33 , Issue.3 , pp. 464
    • Blythe, R.A.1    Evans, M.R.2
  • 67
    • 15844404677 scopus 로고    scopus 로고
    • A combinatorial approach to jumping particles
    • Duchi E and Schaeffer G 2005 A combinatorial approach to jumping particles J. Comb. Theory A 110 1-29
    • (2005) J. Comb. Theory , vol.110 , Issue.1 , pp. 1-29
    • Duchi, E.1    Schaeffer, G.2
  • 68
    • 33645545911 scopus 로고    scopus 로고
    • The stationary measure of a 2-type totally asymmetric exclusion process
    • Angel O 2006 The stationary measure of a 2-type totally asymmetric exclusion process J. Comb. Theory A 113 625-35
    • (2006) J. Comb. Theory , vol.113 , Issue.4 , pp. 625-635
    • Angel, O.1
  • 74
    • 0034349230 scopus 로고    scopus 로고
    • Phase transitions in one-dimensional nonequilibrium systems
    • Evans M R 2000 Phase transitions in one-dimensional nonequilibrium systems Braz. J. Phys. 30 42-57
    • (2000) Braz. J. Phys. , vol.30 , Issue.1 , pp. 42-57
    • Evans, M.R.1
  • 75
    • 0000089371 scopus 로고
    • Equivalence and solution of anisotropic spin-1 models and generalized t-J fermion models in one dimension
    • Klümper A, Schadschneider A and Zittartz J 1991 Equivalence and solution of anisotropic spin-1 models and generalized t-J fermion models in one dimension J. Phys. A: Math. Gen. 24 L955-9
    • (1991) J. Phys. A: Math. Gen. , vol.24 , Issue.16
    • Klümper, A.1    Schadschneider, A.2    Zittartz, J.3
  • 76
  • 77
    • 0000986651 scopus 로고    scopus 로고
    • Strongly correlated electron systems and the density matrix renormalization group
    • White S R 1998 Strongly correlated electron systems and the density matrix renormalization group Phys. Rep. 301 187-204
    • (1998) Phys. Rep. , vol.301 , Issue.1-3 , pp. 187-204
    • White, S.R.1
  • 78
    • 0002101823 scopus 로고    scopus 로고
    • Density matrix renormalization group and reaction-diffusion processes
    • Carlon E, Henkel M and Schollwöck U 1999 Density matrix renormalization group and reaction-diffusion processes Eur. Phys. J. B 12 99-114
    • (1999) Eur. Phys. J. , vol.12 , Issue.1 , pp. 99-114
    • Carlon, E.1    Henkel, M.2    Schollwöck, U.3
  • 79
    • 23844520141 scopus 로고    scopus 로고
    • The density-matrix renormalization group
    • Schollwock U 2005 The density-matrix renormalization group Rev. Mod. Phys. 77 259
    • (2005) Rev. Mod. Phys. , vol.77 , Issue.1 , pp. 259
    • Schollwock, U.1
  • 80
    • 33645062947 scopus 로고    scopus 로고
    • Matrix product states represent ground states faithfully
    • Verstraete F and Cirac J I 2006 Matrix product states represent ground states faithfully Phys. Rev. B 73 094423
    • (2006) Phys. Rev. , vol.73 , pp. 094423
    • Verstraete, F.1    Cirac, J.I.2
  • 82
    • 84956137131 scopus 로고
    • Matrix product ground states for one-dimensional spin-1 quantum antiferromagnets
    • Klümper A, Schadschneider A and Zittartz J 1993 Matrix product ground states for one-dimensional spin-1 quantum antiferromagnets Europhys. Lett. 24 293-7
    • (1993) Europhys. Lett. , vol.24 , Issue.4 , pp. 293-297
    • Klümper, A.1    Schadschneider, A.2    Zittartz, J.3
  • 83
    • 0642277133 scopus 로고
    • Exact solution of the totally asymmetric simple exclusion process: Shock profiles
    • Derrida B, Janowsky S A, Lebowitz J L and Speer E R 1993 Exact solution of the totally asymmetric simple exclusion process: shock profiles J. Stat. Phys. 73 813
    • (1993) J. Stat. Phys. , vol.73 , Issue.5-6 , pp. 813
    • Derrida, B.1    Janowsky, S.A.2    Lebowitz, J.L.3    Speer, E.R.4
  • 84
    • 0002191939 scopus 로고
    • Shock fluctuations in asymmetric simple exclusion
    • Ferrari P A 1992 Shock fluctuations in asymmetric simple exclusion Probab. Theor. Rel. Fields 91 81
    • (1992) Probab. Theor. Rel. Fields , vol.91 , Issue.1 , pp. 81
    • Ferrari, P.A.1
  • 86
    • 0001623535 scopus 로고
    • Microscopic structure of travelling waves for asymmetric simple exclusion process
    • Ferrari P A, Kipnis C and Saada E 1991 Microscopic structure of travelling waves for asymmetric simple exclusion process Ann. Probab. 19 226
    • (1991) Ann. Probab. , vol.19 , pp. 226
    • Ferrari, P.A.1    Kipnis, C.2    Saada, E.3
  • 87
    • 0001297338 scopus 로고
    • Computer simulation of shock waves in the completely asymmetric simple exclusion process
    • Boldrighini C, Cosimi G, Frigio S and Nunes M G 1989 Computer simulation of shock waves in the completely asymmetric simple exclusion process J. Stat. Phys. 55 611
    • (1989) J. Stat. Phys. , vol.55 , Issue.3-4 , pp. 611
    • Boldrighini, C.1    Cosimi, G.2    Frigio, S.3    Nunes, M.G.4
  • 89
    • 0033163725 scopus 로고    scopus 로고
    • Bethe ansatz solution for a defect particle in the asymmetric exclusion model
    • Derrida B and Evans M R 1999 Bethe ansatz solution for a defect particle in the asymmetric exclusion model J. Phys. A: Math. Gen. 32 4833
    • (1999) J. Phys. A: Math. Gen. , vol.32 , Issue.26 , pp. 4833
    • Derrida, B.1    Evans, M.R.2
  • 91
    • 0037644346 scopus 로고
    • Fluctuations in the motions of mass and of patterns in one-dimensional driven diffusive systems
    • van Beijeren H 1991 Fluctuations in the motions of mass and of patterns in one-dimensional driven diffusive systems J. Stat. Phys. 63 47
    • (1991) J. Stat. Phys. , vol.63 , Issue.1-2 , pp. 47
    • Van Beijeren, H.1
  • 92
    • 19944398112 scopus 로고    scopus 로고
    • Long-range attraction between probe particles mediated by a driven fluid
    • Levine E, Mukamel D and Schütz G M 2005 Long-range attraction between probe particles mediated by a driven fluid Europhys. Lett. 70 565
    • (2005) Europhys. Lett. , vol.70 , Issue.5 , pp. 565
    • Levine, E.1    Mukamel, D.2    Schütz, G.M.3
  • 93
    • 42749101461 scopus 로고    scopus 로고
    • Dynamics of shock probes in driven diffusive systems
    • Chatterjee S and Barma M 2007 Dynamics of shock probes in driven diffusive systems J. Stat. Mech.: Theor. Exp. L01004
    • (2007) J. Stat. Mech.: Theor. Exp. , vol.2007 , Issue.1 , pp. 01004
    • Chatterjee, S.1    Barma, M.2
  • 94
    • 0031583019 scopus 로고    scopus 로고
    • Two-way traffic flow: Exactly solvable model of traffic jam
    • Lee H W, Popkov V and Kim D 1997 Two-way traffic flow: exactly solvable model of traffic jam J. Phys. A: Math. Gen. 30 8497
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.24 , pp. 8497
    • Lee, H.W.1    Popkov, V.2    Kim, D.3
  • 95
    • 0001590879 scopus 로고    scopus 로고
    • Shocks in the asymmetry exclusion model with an impurity
    • Mallick K 1996 Shocks in the asymmetry exclusion model with an impurity J. Phys. A: Math. Gen. 29 5375
    • (1996) J. Phys. A: Math. Gen. , vol.29 , Issue.17 , pp. 5375
    • Mallick, K.1
  • 96
    • 0038941179 scopus 로고    scopus 로고
    • Pairwise balance and invariant measures for generalized exclusion processes
    • Schütz G, Ramaswamy R and Barma M 1996 Pairwise balance and invariant measures for generalized exclusion processes J. Phys. A: Math. Gen. 29 837
    • (1996) J. Phys. A: Math. Gen. , vol.29 , Issue.4 , pp. 837
    • Schütz, G.1    Ramaswamy, R.2    Barma, M.3
  • 97
    • 0031557847 scopus 로고    scopus 로고
    • Matrix product eigenstates for one-dimensional stochastic models and quantum spin chains
    • Krebs K and Sandow S 1997 Matrix product eigenstates for one-dimensional stochastic models and quantum spin chains J. Phys. A: Math. Gen. 30 3165
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.9 , pp. 3165
    • Krebs, K.1    Sandow, S.2
  • 99
    • 35648939887 scopus 로고    scopus 로고
    • Depken M 2003 Models of nonequilibrium systems PhD Thesis University of Oxford
    • (2003) PhD Thesis
    • Depken, M.1
  • 102
    • 2142647762 scopus 로고    scopus 로고
    • Asymmetric exclusion model and weighted lattice paths
    • Brak R and Essam J W 2004 Asymmetric exclusion model and weighted lattice paths J. Phys. A: Math. Gen. 37 4183
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.14 , pp. 4183
    • Brak, R.1    Essam, J.W.2
  • 103
    • 2142770191 scopus 로고    scopus 로고
    • Nonequilibrium stationary states and equilibrium models with long range interactions
    • Brak R, de Gier J and Rittenberg V 2004 Nonequilibrium stationary states and equilibrium models with long range interactions J. Phys. A: Math. Gen. 37 4303
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.15 , pp. 4303
    • Brak, R.1    De Gier, J.2    Rittenberg, V.3
  • 104
    • 4344625032 scopus 로고    scopus 로고
    • The grand-canonical asymmetric exclusion process and the one-transit walk
    • Blythe R A, Johnston D A, Janke W and Kenna R 2004 The grand-canonical asymmetric exclusion process and the one-transit walk J. Stat. Mech.: Theor. Exp. P06001
    • (2004) J. Stat. Mech.: Theor. Exp. , vol.2004 , Issue.6 , pp. 06001
    • Blythe, R.A.1    Johnston, D.A.2    Janke, W.3    Kenna, R.4
  • 107
    • 0001414667 scopus 로고
    • Disorder-induced unbinding in confined geometries
    • Krug J and Tang L H 1994 Disorder-induced unbinding in confined geometries Phys. Rev. E 50 104-15
    • (1994) Phys. Rev. , vol.50 , Issue.1 , pp. 104-115
    • Krug, J.1    Tang, L.H.2
  • 108
    • 28144436811 scopus 로고    scopus 로고
    • Statistical mechanics of equilibrium and nonequilibrium phase transitions: The Yang-Lee formalism
    • Bena I, Droz M and Lipowski A 2005 Statistical mechanics of equilibrium and nonequilibrium phase transitions: The Yang-Lee formalism Int. J. Mod. Phys. B 19 4269-329
    • (2005) Int. J. Mod. Phys. , vol.19 , Issue.29 , pp. 4269-4329
    • Bena, I.1    Droz, M.2    Lipowski, A.3
  • 109
    • 4344675395 scopus 로고    scopus 로고
    • Exact joint density-current probability function for the asymmetric exclusion process
    • Depken M and Stinchcombe R B 2004 Exact joint density-current probability function for the asymmetric exclusion process Phys. Rev. Lett. 93 040602
    • (2004) Phys. Rev. Lett. , vol.93 , Issue.4 , pp. 040602
    • Depken, M.1    Stinchcombe, R.B.2
  • 110
    • 21144481123 scopus 로고
    • Exact diffusion constant for the one-dimensional asymmetric exclusion models
    • Derrida B, Evans M R and Mukamel D 1993 Exact diffusion constant for the one-dimensional asymmetric exclusion models J. Phys. A: Math. Gen. 36 4911-8
    • (1993) J. Phys. A: Math. Gen. , vol.36 , pp. 4911-4918
    • Derrida, B.1    Evans, M.R.2    Mukamel, D.3
  • 111
    • 35649023335 scopus 로고    scopus 로고
    • Phase transitions in nonequilibrium systems
    • Derrida B 1996 Phase transitions in nonequilibrium systems Statphys-19 (19th IUPAP International Conference on Statistical Physics) ed B L Hao (Singapore: World Scientific)
    • (1996) Statphys-19
    • Derrida, B.1
  • 112
    • 0032535909 scopus 로고    scopus 로고
    • Spontaneous breaking of translational invariance in one-dimensional stationary states on a ring
    • Arndt P F, Heinzel T and Rittenberg V 1998 Spontaneous breaking of translational invariance in one-dimensional stationary states on a ring J. Phys. A: Math. Gen. 31 L45-51
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.2
    • Arndt, P.F.1    Heinzel, T.2    Rittenberg, V.3
  • 113
    • 0033212058 scopus 로고    scopus 로고
    • Spontaneous breaking of translational invariance and spatial condensation in stationary states on a ring: I. the neutral system
    • Arndt P F, Heinzel T and Rittenberg V 1999 Spontaneous breaking of translational invariance and spatial condensation in stationary states on a ring: I. The neutral system J. Stat. Phys. 97 1-65
    • (1999) J. Stat. Phys. , vol.97 , pp. 1-65
    • Arndt, P.F.1    Heinzel, T.2    Rittenberg, V.3
  • 114
    • 0034628778 scopus 로고    scopus 로고
    • Partially asymmetric simple exclusion model in the presence of an impurity on a ring
    • Jafarpour F H 2000 Partially asymmetric simple exclusion model in the presence of an impurity on a ring J. Phys. A: Math. Gen. 33 1797-808
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.9 , pp. 1797-1808
    • Jafarpour, F.H.1
  • 115
    • 0034623741 scopus 로고    scopus 로고
    • Exact solution of an exclusion model in the presence of a moving impurity on a ring
    • Jafarpour F H 2000 Exact solution of an exclusion model in the presence of a moving impurity on a ring J. Phys. A: Math. Gen. 33 8673-80
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.48 , pp. 8673-8680
    • Jafarpour, F.H.1
  • 116
    • 0000998971 scopus 로고    scopus 로고
    • One-dimensional partially asymmetric simple exclusion process on a ring with a defect particle
    • Sasamoto T 2000 One-dimensional partially asymmetric simple exclusion process on a ring with a defect particle Phys. Rev. E 61 4980
    • (2000) Phys. Rev. , vol.61 , Issue.5 , pp. 4980
    • Sasamoto, T.1
  • 117
    • 0033746620 scopus 로고    scopus 로고
    • Spatial particle condensation for an exclusion process on a ring
    • Rajewsky N, Sasamoto T and Speer E R 2000 Spatial particle condensation for an exclusion process on a ring Physica A 279 123
    • (2000) Physica , vol.279 , Issue.1-4 , pp. 123
    • Rajewsky, N.1    Sasamoto, T.2    Speer, E.R.3
  • 119
    • 0031581733 scopus 로고    scopus 로고
    • Exact diffusion constant for the one-dimensional partially asymmetric exclusion model
    • Derrida B and Mallick K 1997 Exact diffusion constant for the one-dimensional partially asymmetric exclusion model J. Phys. A: Math. Gen. 30 1031-46
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.4 , pp. 1031-1046
    • Derrida, B.1    Mallick, K.2
  • 120
    • 0034294424 scopus 로고    scopus 로고
    • Stochastic ballistic annihilation and coalescence
    • Blythe R A, Evans M R and Kafri Y 2000 Stochastic ballistic annihilation and coalescence Phys. Rev. Lett. 85 3750-3
    • (2000) Phys. Rev. Lett. , vol.85 , Issue.18 , pp. 3750-3753
    • Blythe, R.A.1    Evans, M.R.2    Kafri, Y.3
  • 121
    • 0033569137 scopus 로고    scopus 로고
    • One-dimensional partially asymmetric simple exclusion process with open boundaries: Orthogonal polynomials approach
    • Sasamoto T 1999 One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach J. Phys. A: Math. Gen. 32 7109
    • (1999) J. Phys. A: Math. Gen. , vol.32 , Issue.41 , pp. 7109
    • Sasamoto, T.1
  • 122
    • 0034737220 scopus 로고    scopus 로고
    • Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
    • Blythe R A, Evans M R, Colaiori F and Essler F H L 2000 Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra J. Phys. A: Math. Gen. 33 2313
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.12 , pp. 2313
    • Blythe, R.A.1    Evans, M.R.2    Colaiori, F.3    Essler, F.H.L.4
  • 123
    • 0034412160 scopus 로고    scopus 로고
    • Density profile of the one-dimensional partially asymmetric simple exclusion process with open boundaries
    • Sasamoto T 2000 Density profile of the one-dimensional partially asymmetric simple exclusion process with open boundaries J. Phys. Soc. Japan 69 1055
    • (2000) J. Phys. Soc. Japan , vol.69 , Issue.4 , pp. 1055
    • Sasamoto, T.1
  • 124
    • 2442706466 scopus 로고    scopus 로고
    • Asymmetric simple exclusion process with open boundaries and Askey-Wilson polynomials
    • Uchiyama M, Sasamoto T and Wadati M 2004 Asymmetric simple exclusion process with open boundaries and Askey-Wilson polynomials J. Phys. A: Math. Gen. 37 4985
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.18 , pp. 4985
    • Uchiyama, M.1    Sasamoto, T.2    Wadati, M.3
  • 125
    • 30444459816 scopus 로고    scopus 로고
    • Correlation function of asymmetric simple exclusion process with open boundaries
    • Uchiyama M and Wadati M 2005 Correlation function of asymmetric simple exclusion process with open boundaries J. Nonlinear Math. Phys. 12 676
    • (2005) J. Nonlinear Math. Phys. , vol.12 , Issue.SUPPL. 1 , pp. 676
    • Uchiyama, M.1    Wadati, M.2
  • 127
    • 36149029891 scopus 로고
    • q(2) and a q-analogue of the boson operators
    • q(2) and a q-analogue of the boson operators J. Phys. A: Math. Gen. 22 L873
    • (1989) J. Phys. A: Math. Gen. , vol.22 , Issue.18 , pp. 873
    • Biedenhahn, L.C.1
  • 129
    • 0001574849 scopus 로고
    • Partially asymmetric exclusion process with open boundaries
    • Sandow S 1994 Partially asymmetric exclusion process with open boundaries Phys. Rev. E 50 2660
    • (1994) Phys. Rev. , vol.50 , Issue.4 , pp. 2660
    • Sandow, S.1
  • 130
    • 0002861654 scopus 로고
    • Continuous q-Hermite polynomials when q > 1
    • Askey R 1989 Continuous q-Hermite polynomials when q > 1 q-Series and Partitions (New York: Springer)
    • (1989) Q-Series and Partitions
    • Askey, R.1
  • 131
    • 0001308382 scopus 로고
    • Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
    • Askey R and Wilson J 1985 Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials Mem. Am. Math. Soc. 54 1
    • (1985) Mem. Am. Math. Soc. , vol.54 , pp. 1
    • Askey, R.1    Wilson, J.2
  • 133
    • 34547667146 scopus 로고    scopus 로고
    • Non equilibrium steady states: Fluctuations and large deviations of the density and of the current
    • Derrida B 2007 Non equilibrium steady states: fluctuations and large deviations of the density and of the current J. Stat. Mech.: Theor. Exp. P07023
    • (2007) J. Stat. Mech.: Theor. Exp. , vol.2007 , Issue.7 , pp. 07023
    • Derrida, B.1
  • 134
    • 42749107675 scopus 로고    scopus 로고
    • Free energy functional for nonequilibrium systems: An exactly solvable case
    • Derrida B, Lebowitz J L and Speer E R 2001 Free energy functional for nonequilibrium systems: an exactly solvable case Phys. Rev. Lett. 87 150601
    • (2001) Phys. Rev. Lett. , vol.87 , Issue.15 , pp. 150601
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 135
    • 0036256962 scopus 로고    scopus 로고
    • Large deviation of the density profile in the steady state of the symmetric simple exclusion process
    • Derrida B, Lebowitz J L and Speer E R 2002 Large deviation of the density profile in the steady state of the symmetric simple exclusion process J. Stat. Phys. 107 599
    • (2002) J. Stat. Phys. , vol.107 , pp. 599
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 136
    • 0142195530 scopus 로고    scopus 로고
    • Phase transitions in nonequilibrium systems
    • Mukamel D 2000 Phase transitions in nonequilibrium systems Soft and Fragile Matter: Metastability and Flow ed M E Cates and M R Evans (Bristol: Institute of Physics Publishing)
    • (2000) Soft and Fragile Matter: Metastability and Flow
    • Mukamel, D.1
  • 137
    • 0037101006 scopus 로고    scopus 로고
    • Exact free energy functional for a driven diffusive open stationary nonequilibrium system
    • Derrida B, Lebowitz J L and Speer E R 2002 Exact free energy functional for a driven diffusive open stationary nonequilibrium system Phys. Rev. Lett. 89 30601
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 30601
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 138
    • 0037273792 scopus 로고    scopus 로고
    • Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process
    • Derrida B, Lebowitz J L and Speer E R 2003 Exact large deviation functional of a stationary open driven diffusive system: the asymmetric exclusion process J. Stat. Phys. 110 775
    • (2003) J. Stat. Phys. , vol.110 , pp. 775
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 139
    • 2942654602 scopus 로고    scopus 로고
    • Large deviation functional of the weakly asymmetric exclusion process
    • Enaud C and Derrida B 2004 Large deviation functional of the weakly asymmetric exclusion process J. Stat. Phys. 114 537-62
    • (2004) J. Stat. Phys. , vol.114 , Issue.3-4 , pp. 537-562
    • Enaud, C.1    Derrida, B.2
  • 140
    • 3542997506 scopus 로고    scopus 로고
    • The asymmetric exclusion process and Brownian excursions
    • Derrida B, Enaud C and Lebowitz J L 2004 The asymmetric exclusion process and Brownian excursions J. Stat. Phys. 115 365
    • (2004) J. Stat. Phys. , vol.115 , Issue.1-2 , pp. 365
    • Derrida, B.1    Enaud, C.2    Lebowitz, J.L.3
  • 142
    • 18844365436 scopus 로고    scopus 로고
    • Multispecies asymmetric simple exclusion process and its relation to traffic flow
    • Karimipour V 1999 Multispecies asymmetric simple exclusion process and its relation to traffic flow Phys. Rev. E 59 205-12
    • (1999) Phys. Rev. , vol.59 , Issue.1 , pp. 205-212
    • Karimipour, V.1
  • 143
    • 49349125897 scopus 로고
    • The diamond lemma for ring theory
    • Bergman G M 1978 The diamond lemma for ring theory Adv. Math. 29 178-218
    • (1978) Adv. Math. , vol.29 , Issue.2 , pp. 178-218
    • Bergman, G.M.1
  • 144
    • 0034343904 scopus 로고    scopus 로고
    • Exact determination of the phase structure of a multi-species asymmetric exclusion process
    • Khorrami M and Karimipour V 2000 Exact determination of the phase structure of a multi-species asymmetric exclusion process J. Stat. Phys. 100 999-1030
    • (2000) J. Stat. Phys. , vol.100 , pp. 999-1030
    • Khorrami, M.1    Karimipour, V.2
  • 145
    • 0030489368 scopus 로고    scopus 로고
    • Bose-Einstein condensation in disordered exclusion models and relation to traffic flow
    • Evans M R 1996 Bose-Einstein condensation in disordered exclusion models and relation to traffic flow Europhys. Lett. 36 13-8
    • (1996) Europhys. Lett. , vol.36 , Issue.1 , pp. 13-18
    • Evans, M.R.1
  • 146
    • 11744364415 scopus 로고    scopus 로고
    • Phase separation in one-dimensional driven diffusive systems
    • Evans M R, Kafri Y, Koduvely H M and Mukamel D 1998 Phase separation in one-dimensional driven diffusive systems Phys. Rev. Lett. 80 425-9
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.3 , pp. 425-429
    • Evans, M.R.1    Kafri, Y.2    Koduvely, H.M.3    Mukamel, D.4
  • 147
    • 0032158453 scopus 로고    scopus 로고
    • Phase separation and coarsening in one-dimensional driven diffusive systems: Local dynamics leading to long-range Hamiltonians
    • Evans M R, Kafri Y, Koduvely H M and Mukamel D 1998 Phase separation and coarsening in one-dimensional driven diffusive systems: local dynamics leading to long-range Hamiltonians Phys. Rev. E 58 2764-78
    • (1998) Phys. Rev. , vol.58 , Issue.3 , pp. 2764-2778
    • Evans, M.R.1    Kafri, Y.2    Koduvely, H.M.3    Mukamel, D.4
  • 148
    • 42749101631 scopus 로고    scopus 로고
    • Phase transition in the ABC model
    • Clincy M, Derrida B and Evans M R 2003 Phase transition in the ABC model Phys. Rev. E 67 066115
    • (2003) Phys. Rev. , vol.67 , pp. 066115
    • Clincy, M.1    Derrida, B.2    Evans, M.R.3
  • 149
    • 0032559148 scopus 로고    scopus 로고
    • N-species stochastic models with boundaries and quadratic algebras
    • Alcaraz F C, Dasmahapatra S and Rittenberg V 1998 n-species stochastic models with boundaries and quadratic algebras J. Phys. A: Math. Gen. 31 845-78
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.3 , pp. 845-878
    • Alcaraz, F.C.1    Dasmahapatra, S.2    Rittenberg, V.3
  • 150
    • 4243634338 scopus 로고
    • Spontaneous symmetry-breaking in a one-dimensional driven diffusive system
    • Evans M R, Foster D P, Godreche C and Mukamel D 1995 Spontaneous symmetry-breaking in a one-dimensional driven diffusive system Phys. Rev. Lett. 74 208-11
    • (1995) Phys. Rev. Lett. , vol.74 , Issue.2 , pp. 208-211
    • Evans, M.R.1    Foster, D.P.2    Godreche, C.3    Mukamel, D.4
  • 151
    • 0010740966 scopus 로고
    • Asymmetric exclusion model with 2 species-spontaneous symmetry-breaking
    • Evans M R, Foster D P, Godreche C and Mukamel D 1995 Asymmetric exclusion model with 2 species-spontaneous symmetry-breaking J. Stat. Phys. 80 69-102
    • (1995) J. Stat. Phys. , vol.80 , Issue.1-2 , pp. 69-102
    • Evans, M.R.1    Foster, D.P.2    Godreche, C.3    Mukamel, D.4
  • 152
    • 42749100460 scopus 로고    scopus 로고
    • Phase transitions in the two-species totally asymmetric exclusion process with open boundary conditions
    • Arita C 2006 Phase transitions in the two-species totally asymmetric exclusion process with open boundary conditions J. Stat. Mech.: Theor. Exp. P12008
    • (2006) J. Stat. Mech.: Theor. Exp. , vol.2006 , Issue.12 , pp. 12008
    • Arita, C.1
  • 153
    • 0031276785 scopus 로고    scopus 로고
    • Exact solutions for a partially asymmetric exclusion model with two species
    • Kolomeisky A B 1997 Exact solutions for a partially asymmetric exclusion model with two species Physica A 245 523
    • (1997) Physica , vol.245 , Issue.3-4 , pp. 523
    • Kolomeisky, A.B.1
  • 155
    • 84957348356 scopus 로고
    • On U(Q)[SU(2)]-symmetrical driven diffusion
    • Sandow S and Schütz G 1994 On U(Q)[SU(2)]-symmetrical driven diffusion Europhys. Lett. 26 7-12
    • (1994) Europhys. Lett. , vol.26 , Issue.1 , pp. 7-12
    • Sandow, S.1    Schütz, G.2
  • 156
    • 0031256231 scopus 로고    scopus 로고
    • Shock profiles for the asymmetric simple exclusion process in one dimension
    • Derrida B, Lebowitz J L and Speer E R 1997 Shock profiles for the asymmetric simple exclusion process in one dimension J. Stat. Phys 89 135-67
    • (1997) J. Stat. Phys , vol.89 , Issue.1-2 , pp. 135-167
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 157
    • 0031256684 scopus 로고    scopus 로고
    • Finite-dimensional representations of a shock algebra
    • Speer E R 1997 Finite-dimensional representations of a shock algebra J. Stat. Phys 89 169-75
    • (1997) J. Stat. Phys , vol.89 , Issue.1-2 , pp. 169-175
    • Speer, E.R.1
  • 158
    • 10044278323 scopus 로고    scopus 로고
    • Modelling one-dimensional driven diffusive systems by the zero-range process
    • Evans M R, Levine E, Mohanty P K and Mukamel D 2004 Modelling one-dimensional driven diffusive systems by the zero-range process Eur. Phys. J. B. 41 223-30
    • (2004) Eur. Phys. J. B. , vol.41 , Issue.2 , pp. 223-230
    • Evans, M.R.1    Levine, E.2    Mohanty, P.K.3    Mukamel, D.4
  • 161
    • 0036477922 scopus 로고    scopus 로고
    • The noncommutative space of stochastic diffusion systems
    • Aneva B 2002 The noncommutative space of stochastic diffusion systems J. Phys. A: Math. Gen. 35 859-77
    • (2002) J. Phys. A: Math. Gen. , vol.35 , Issue.4 , pp. 859-877
    • Aneva, B.1
  • 162
    • 2442534273 scopus 로고    scopus 로고
    • Deformed coherent and squeezed states of multiparticle processes
    • Aneva B 2003 Deformed coherent and squeezed states of multiparticle processes Eur. Phys. J. C 31 403-14
    • (2003) Eur. Phys. J. , vol.31 , Issue.3 , pp. 403-414
    • Aneva, B.1
  • 163
    • 0035981782 scopus 로고    scopus 로고
    • Construction of diffusion algebras
    • Pyatov P N and Twarock R 2002 Construction of diffusion algebras J. Math. Phys. 43 3268-79
    • (2002) J. Math. Phys. , vol.43 , Issue.6 , pp. 3268-3279
    • Pyatov, P.N.1    Twarock, R.2
  • 164
    • 0038011421 scopus 로고    scopus 로고
    • Quadratic algebras in traffic flow models
    • Twarock R 2003 Quadratic algebras in traffic flow models Rep. Math. Phys. 51 381-9
    • (2003) Rep. Math. Phys. , vol.51 , Issue.2-3 , pp. 381-389
    • Twarock, R.1
  • 165
    • 0030076835 scopus 로고    scopus 로고
    • Asymmetric conservative processes with random rates
    • Benjamini I, Ferrari P A and Landim C 1996 Asymmetric conservative processes with random rates Stoch. Proc. Appl. 61 181-204
    • (1996) Stoch. Proc. Appl. , vol.61 , Issue.2 , pp. 181-204
    • Benjamini, I.1    Ferrari, P.A.2    Landim, C.3
  • 166
    • 0000064329 scopus 로고    scopus 로고
    • Phase transitions in driven diffusive systems with random rates
    • Krug J and Ferrari P A 1996 Phase transitions in driven diffusive systems with random rates J. Phys. A: Math. Gen. 29 35
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 35
    • Krug, J.1    Ferrari, P.A.2
  • 167
    • 18244368724 scopus 로고    scopus 로고
    • Partially asymmetric exclusion models with quenched disorder
    • Juhsz R, Santen L and Igloi F 2005 Partially asymmetric exclusion models with quenched disorder Phys. Rev. Lett. 94 010601
    • (2005) Phys. Rev. Lett. , vol.94 , Issue.1 , pp. 010601
    • Juhsz, R.1    Santen, L.2    Igloi, F.3
  • 168
    • 0033169324 scopus 로고    scopus 로고
    • A multi-species asymmetric exclusion process, steady state and correlation functions on a periodic lattice
    • Karimipour V 1999 A multi-species asymmetric exclusion process, steady state and correlation functions on a periodic lattice Europhys. Lett. 47 304-10
    • (1999) Europhys. Lett. , vol.47 , Issue.3 , pp. 304-310
    • Karimipour, V.1
  • 169
    • 0031249965 scopus 로고    scopus 로고
    • Exact results for one-dimensional cellular automata with different types of updates
    • Rajewsky N and Schreckenberg M 1997 Exact results for one-dimensional cellular automata with different types of updates Physica A 245 139-44
    • (1997) Physica , vol.245 , Issue.1-2 , pp. 139-144
    • Rajewsky, N.1    Schreckenberg, M.2
  • 170
    • 0010664582 scopus 로고
    • Exact diffusion constant of a one-dimensional asymmetric exclusion model with open boundaries
    • Derrida B, Evans M R and Mallick K 1995 Exact diffusion constant of a one-dimensional asymmetric exclusion model with open boundaries J. Stat. Phys. 79 833-74
    • (1995) J. Stat. Phys. , vol.79 , Issue.5-6 , pp. 833-874
    • Derrida, B.1    Evans, M.R.2    Mallick, K.3
  • 171
    • 35649007443 scopus 로고    scopus 로고
    • Experimental realizations of integrable reaction-diffusion processes in biological and chemical systems
    • ed F Y Wu and M L Ge (Singapore: World Scientific)
    • Schütz G M 1996 Experimental realizations of integrable reaction-diffusion processes in biological and chemical systems Proc. 7th Nankai Workshop on Symmetry, Statistical Mechanics Models, and Applications ed F Y Wu and M L Ge (Singapore: World Scientific)
    • (1996) Proc. 7th Nankai Workshop on Symmetry, Statistical Mechanics Models, and Applications
  • 172
    • 0032680313 scopus 로고    scopus 로고
    • On the ubiquity of matrix-product states in one-dimensional stochastic processes with boundary interaction
    • Klauck K and Schadschneider A 1999 On the ubiquity of matrix-product states in one-dimensional stochastic processes with boundary interaction Physica A 271 102-17
    • (1999) Physica , vol.271 , Issue.1-2 , pp. 102-117
    • Klauck, K.1    Schadschneider, A.2
  • 173
    • 0040807266 scopus 로고    scopus 로고
    • Some general features of matrix product states in stochastic systems
    • Karimipour V 2000 Some general features of matrix product states in stochastic systems J. Phys. A: Math. Gen. 33 709-19
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.4 , pp. 709-719
    • Karimipour, V.1
  • 174
    • 0039592564 scopus 로고    scopus 로고
    • On matrix product states for periodic boundary conditions
    • Krebs K 2000 On matrix product states for periodic boundary conditions J. Phys. A: Math. Gen. 33 L149
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.14 , pp. 149
    • Krebs, K.1
  • 175
    • 0242381914 scopus 로고    scopus 로고
    • On matrix product ground states for reaction-diffusion models
    • Hinrichsen H, Sandow S and Peschel I 1996 On matrix product ground states for reaction-diffusion models J. Phys. A: Math. Gen. 29 2643-9
    • (1996) J. Phys. A: Math. Gen. , vol.29 , Issue.11 , pp. 2643-2649
    • Hinrichsen, H.1    Sandow, S.2    Peschel, I.3
  • 176
    • 0037827338 scopus 로고    scopus 로고
    • First-order phase transition in a reaction-diffusion model with open boundary: The Yang-Lee theory approach
    • Jafarpour F H 2003 First-order phase transition in a reaction-diffusion model with open boundary: the Yang-Lee theory approach J. Phys. A: Math. Gen. 36 7497
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.27 , pp. 7497
    • Jafarpour, F.H.1
  • 177
    • 2942598034 scopus 로고    scopus 로고
    • Matrix product states of three families of one-dimensional interacting particle systems
    • Jafarpour F H 2004 Matrix product states of three families of one-dimensional interacting particle systems Physica A 339 369-84
    • (2004) Physica , vol.339 , Issue.3-4 , pp. 369-384
    • Jafarpour, F.H.1
  • 178
    • 8344271167 scopus 로고    scopus 로고
    • Construction of a matrix product stationary state from solutions of a finite-size system
    • Hieida Y and Sasamoto T 2004 Construction of a matrix product stationary state from solutions of a finite-size system J. Phys. A: Math. Gen. 37 9873-89
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.42 , pp. 9873-9889
    • Hieida, Y.1    Sasamoto, T.2
  • 179
    • 0033520903 scopus 로고    scopus 로고
    • Exact solution of an exclusion process with three classes of particles and vacancies
    • Mallick K, Mallick S and Rajewsky N 1999 Exact solution of an exclusion process with three classes of particles and vacancies J. Phys. A: Math. Gen. 32 8399-410
    • (1999) J. Phys. A: Math. Gen. , vol.32 , Issue.48 , pp. 8399-8410
    • Mallick, K.1    Mallick, S.2    Rajewsky, N.3
  • 180
    • 35648998587 scopus 로고    scopus 로고
    • Stationary distributions of multi-type totally asymmetric exclusion processes
    • Ferrari P A and Martin J B 2007 Stationary distributions of multi-type totally asymmetric exclusion processes Ann. Probab. 35 807-32
    • (2007) Ann. Probab. , vol.35 , Issue.3 , pp. 807-832
    • Ferrari, P.A.1    Martin, J.B.2
  • 182
    • 0000000808 scopus 로고
    • Time-dependent correlation functions in a one-dimensional asymmetric exclusion process
    • Schütz G 1993 Time-dependent correlation functions in a one-dimensional asymmetric exclusion process Phys. Rev. E 47 4265-77
    • (1993) Phys. Rev. , vol.47 , Issue.6 , pp. 4265-4277
    • Schütz, G.1
  • 183
    • 21344442569 scopus 로고    scopus 로고
    • Matrix product ground states for exclusion processes with parallel dynamics
    • Hinrichsen H 1996 Matrix product ground states for exclusion processes with parallel dynamics J. Phys. A: Math. Gen. 29 3659-67
    • (1996) J. Phys. A: Math. Gen. , vol.29 , Issue.13 , pp. 3659-3667
    • Hinrichsen, H.1
  • 184
    • 0033246849 scopus 로고    scopus 로고
    • Exact solution of a cellular automaton for traffic
    • Evans M R, Rajewsky N and Speer E R 1999 Exact solution of a cellular automaton for traffic J. Stat. Phys 95 45-96
    • (1999) J. Stat. Phys , vol.95 , pp. 45-96
    • Evans, M.R.1    Rajewsky, N.2    Speer, E.R.3
  • 185
    • 0009514515 scopus 로고    scopus 로고
    • Exact results for a fully asymmetric exclusion process with sequential dynamics and open boundaries
    • Brankov J, Pesheva N and Valkov N 2000 Exact results for a fully asymmetric exclusion process with sequential dynamics and open boundaries Phys. Rev. E 61 2300-18
    • (2000) Phys. Rev. , vol.61 , Issue.3 , pp. 2300-2318
    • Brankov, J.1    Pesheva, N.2    Valkov, N.3
  • 186
    • 0035303699 scopus 로고    scopus 로고
    • Exact density profiles for the fully asymmetric exclusion process with discrete-time dynamics on semi-infinite chains
    • Brankov J and Pesheva N 2001 Exact density profiles for the fully asymmetric exclusion process with discrete-time dynamics on semi-infinite chains Phys. Rev. E 63 046111
    • (2001) Phys. Rev. , vol.63 , Issue.4 , pp. 046111
    • Brankov, J.1    Pesheva, N.2
  • 187
    • 0001254390 scopus 로고    scopus 로고
    • Exact stationary state for an asymmetric exclusion process with fully parallel dynamics
    • de Gier J and Nienhuis B 1999 Exact stationary state for an asymmetric exclusion process with fully parallel dynamics Phys. Rev. E 59 4899-911
    • (1999) Phys. Rev. , vol.59 , Issue.5 , pp. 4899-4911
    • De Gier, J.1    Nienhuis, B.2
  • 188
    • 0032486049 scopus 로고    scopus 로고
    • Synchronous asymmetric exclusion processes
    • Tilstra L G and Ernst M H 1998 Synchronous asymmetric exclusion processes J. Phys. A: Math. Gen. 31 5033-63
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.22 , pp. 5033-5063
    • Tilstra, L.G.1    Ernst, M.H.2
  • 189
    • 18844386816 scopus 로고
    • Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process
    • Janowsky S A and Lebowitz J L 1992 Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process Phys. Rev. A 45 618-25
    • (1992) Phys. Rev. , vol.45 , Issue.2 , pp. 618-625
    • Janowsky, S.A.1    Lebowitz, J.L.2
  • 190
    • 21844496203 scopus 로고
    • Exact results for the asymmetric simple exclusion process with a blockage
    • Janowsky S A and Lebowitz J L 1994 Exact results for the asymmetric simple exclusion process with a blockage J. Stat. Phys. 77 35-51
    • (1994) J. Stat. Phys. , vol.77 , Issue.1-2 , pp. 35-51
    • Janowsky, S.A.1    Lebowitz, J.L.2
  • 191
    • 4243740606 scopus 로고    scopus 로고
    • Driven lattice gases with quenched disorder: Exact results and different macroscopic regimes
    • Tripathy G and Barma M 1998 Driven lattice gases with quenched disorder: exact results and different macroscopic regimes Phys. Rev. E 58 1911
    • (1998) Phys. Rev. , vol.58 , Issue.2 , pp. 1911
    • Tripathy, G.1    Barma, M.2
  • 192
    • 4243604629 scopus 로고    scopus 로고
    • Disordered totally asymmetric simple exclusion process: Exact results
    • Kolwankar K M and Punnoose A 2000 Disordered totally asymmetric simple exclusion process: Exact results Phys. Rev. E 61 2453
    • (2000) Phys. Rev. , vol.61 , Issue.3 , pp. 2453
    • Kolwankar, K.M.1    Punnoose, A.2
  • 193
    • 42749104044 scopus 로고    scopus 로고
    • Disordered asymmetric simple exclusion process: Mean-field treatment
    • Harris R J and Stinchcombe R B 2004 Disordered asymmetric simple exclusion process: mean-field treatment Phys. Rev. E 70 016108
    • (2004) Phys. Rev. , vol.70 , pp. 016108
    • Harris, R.J.1    Stinchcombe, R.B.2
  • 194
    • 0034349243 scopus 로고    scopus 로고
    • Phase separation in disordered exclusion models
    • Krug J 2000 Phase separation in disordered exclusion models Braz. J. Phys. 30 97
    • (2000) Braz. J. Phys. , vol.30 , Issue.1 , pp. 97
    • Krug, J.1
  • 195
    • 1842864957 scopus 로고    scopus 로고
    • Sample-dependent phase transitions in disordered exclusion models
    • Enaud C and Derrida B 2004 Sample-dependent phase transitions in disordered exclusion models Europhys. Lett. 66 83
    • (2004) Europhys. Lett. , vol.66 , Issue.1 , pp. 83
    • Enaud, C.1    Derrida, B.2
  • 196
    • 42749107428 scopus 로고    scopus 로고
    • Totally asymmetric exclusion process with extended objects: A model for protein synthesis
    • Shaw L B, Zia R K P and Lee K H 2003 Totally asymmetric exclusion process with extended objects: a model for protein synthesis Phys. Rev. E 68 021910
    • (2003) Phys. Rev. , vol.68 , pp. 021910
    • Shaw, L.B.1    Zia, R.K.P.2    Lee, K.H.3
  • 197
    • 0037470280 scopus 로고    scopus 로고
    • Totally asymmetric exclusion processes with particles of arbitrary size
    • Lakatos G and Chou T 2003 Totally asymmetric exclusion processes with particles of arbitrary size J. Phys. A: Math. Gen. 36 2027-41
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.8 , pp. 2027-2041
    • Lakatos, G.1    Chou, T.2
  • 198
    • 1342347334 scopus 로고    scopus 로고
    • Local inhomogeneity in asymmetric simple exclusion processes with extended objects
    • Shaw L B, Kolomeisky A B and Lee K H 2004 Local inhomogeneity in asymmetric simple exclusion processes with extended objects J. Phys. A: Math. Gen. 37 2105-13
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.6 , pp. 2105-2113
    • Shaw, L.B.1    Kolomeisky, A.B.2    Lee, K.H.3
  • 199
    • 21844494059 scopus 로고
    • Spontaneous symmetry breaking: Exact results for a biased random walk model of an exclusion process
    • Godreche C, Luck J M, Evans M R, Mukamel D, Sandow S and Speer E R 1995 Spontaneous symmetry breaking: exact results for a biased random walk model of an exclusion process J. Phys. A: Math. Gen. 28 6039
    • (1995) J. Phys. A: Math. Gen. , vol.28 , Issue.21 , pp. 6039
    • Godreche, C.1    Luck, J.M.2    Evans, M.R.3    Mukamel, D.4    Sandow, S.5    Speer, E.R.6
  • 200
    • 84901008115 scopus 로고    scopus 로고
    • Why spontaneous symmetry breaking disappears in a bridge system with PDE-friendly boundaries
    • Popkov V and Schütz G M 2004 Why spontaneous symmetry breaking disappears in a bridge system with PDE-friendly boundaries J. Stat. Mech.: Theor. Exp. P12004
    • (2004) J. Stat. Mech.: Theor. Exp. , vol.2004 , Issue.12 , pp. 12004
    • Popkov, V.1    Schütz, G.M.2
  • 201
    • 34547464794 scopus 로고    scopus 로고
    • Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system
    • Grokinsky S, Schütz G M and Willmann R D 2007 Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system J. Stat. Phys. 128 587
    • (2007) J. Stat. Phys. , vol.128 , Issue.3 , pp. 587
    • Grokinsky, S.1    Schütz, G.M.2    Willmann, R.D.3
  • 202
    • 29044447618 scopus 로고    scopus 로고
    • Large deviation for a stochastic model of heat flow
    • Bertini L, Gabrielli D and Lebowitz J L 2005 Large deviation for a stochastic model of heat flow J. Stat. Phys 121 843
    • (2005) J. Stat. Phys , vol.121 , Issue.5-6 , pp. 843
    • Bertini, L.1    Gabrielli, D.2    Lebowitz, J.L.3
  • 203
    • 0000234352 scopus 로고
    • Phase transitions in stationary nonequilibrium states of model lattice systems
    • Katz S, Lebowitz J L and Spohn H 1983 Phase transitions in stationary nonequilibrium states of model lattice systems Phys. Rev. B 28 1655
    • (1983) Phys. Rev. , vol.28 , Issue.3 , pp. 1655
    • Katz, S.1    Lebowitz, J.L.2    Spohn, H.3
  • 204
    • 0021372413 scopus 로고
    • Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors
    • Katz S, Lebowitz J L and Spohn H 1984 Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors J Stat. Phys. 34 497-537
    • (1984) J Stat. Phys. , vol.34 , Issue.3-4 , pp. 497-537
    • Katz, S.1    Lebowitz, J.L.2    Spohn, H.3
  • 205
    • 17544402577 scopus 로고    scopus 로고
    • Asymmetric exclusion process with next-nearest-neighbor interaction: Some comments on traffic flow and a nonequilibrium reentrance transition
    • Antal T and Schütz G M 2000 Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition Phys. Rev. E 62 83
    • (2000) Phys. Rev. , vol.62 , Issue.1 , pp. 83
    • Antal, T.1    Schütz, G.M.2
  • 207
    • 66049116196 scopus 로고    scopus 로고
    • Dynamical pair approximation for cellular automata with shuffle update
    • Smith D A and Wilson R E 2007 Dynamical pair approximation for cellular automata with shuffle update J. Phys. A: Math. Theor. 40 2651
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 2651
    • Smith, D.A.1    Wilson, R.E.2
  • 209
    • 42749106314 scopus 로고    scopus 로고
    • Shock formation in an exclusion process with creation and annihilation
    • Evans M R, Juhsz R and Santen L 2003 Shock formation in an exclusion process with creation and annihilation Phys. Rev. E 68 026117
    • (2003) Phys. Rev. , vol.68 , Issue.2 , pp. 026117
    • Evans, M.R.1    Juhsz, R.2    Santen, L.3
  • 210
    • 42749106700 scopus 로고    scopus 로고
    • Localization of shocks in driven diffusive systems without particle number conservation
    • Popkov V, Rkos A, Willmann R, Kolomeisky A and Schütz G 2003 Localization of shocks in driven diffusive systems without particle number conservation Phys. Rev. E 67 66117
    • (2003) Phys. Rev. , vol.67 , Issue.6 , pp. 066117
    • Popkov, V.1    Rkos, A.2    Willmann, R.3    Kolomeisky, A.4    Schütz, G.5
  • 211
    • 24144449495 scopus 로고    scopus 로고
    • Nonequilibrium criticality at shock formation in steady states
    • Mukherji S and Bhattacharjee S M 2005 Nonequilibrium criticality at shock formation in steady states J. Phys. A: Math. Gen. 38 L285
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.17 , pp. 285
    • Mukherji, S.1    Bhattacharjee, S.M.2
  • 212
    • 0001761916 scopus 로고    scopus 로고
    • Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries
    • Essler F H L and Rittenberg V 1996 Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries J. Phys. A: Math. Gen. 29 3375-407
    • (1996) J. Phys. A: Math. Gen. , vol.29 , Issue.13 , pp. 3375-3407
    • Essler, F.H.L.1    Rittenberg, V.2
  • 213
    • 0031558081 scopus 로고    scopus 로고
    • Finite-dimensional representations of the quadratic algebra: Applications to the exclusion process
    • Mallick K and Sandow S 1997 Finite-dimensional representations of the quadratic algebra: applications to the exclusion process J. Phys. A: Math. Gen. 30 4513
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.13 , pp. 4513
    • Mallick, K.1    Sandow, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.