메뉴 건너뛰기




Volumn , Issue 7, 2007, Pages

Non-equilibrium steady states: Fluctuations and large deviations of the density and of the current

Author keywords

Current fluctuations; Driven diffusive systems (theory); Large deviations in non equilibrium systems; Stationary states

Indexed keywords


EID: 34547667146     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/07/P07023     Document Type: Article
Times cited : (862)

References (151)
  • 2
    • 0037375035 scopus 로고    scopus 로고
    • Thermal conduction in classical low-dimensional lattices
    • Lepri S, Livi R and Politi A 2003 Thermal conduction in classical low-dimensional lattices Phys. Rep. 377 1
    • (2003) Phys. Rep. , vol.377 , Issue.1 , pp. 1
    • Lepri, S.1    Livi, R.2    Politi, A.3
  • 3
    • 0033114736 scopus 로고    scopus 로고
    • Entropy production in nonlinear, thermally driven Hamiltonian systems
    • Eckmann J P, Pillet C A and Rey-Bellet L 1999 Entropy production in nonlinear, thermally driven Hamiltonian systems J. Stat. Phys. 95 305
    • (1999) J. Stat. Phys. , vol.95 , pp. 305
    • Eckmann, J.P.1    Pillet, C.A.2    Rey-Bellet, L.3
  • 4
    • 33750883870 scopus 로고    scopus 로고
    • Steady state thermodynamics
    • Sasa S I and Tasaki H 2006 Steady state thermodynamics J. Stat. Phys. 125 125
    • (2006) J. Stat. Phys. , vol.125 , Issue.1 , pp. 125
    • Sasa, S.I.1    Tasaki, H.2
  • 5
    • 2442528874 scopus 로고    scopus 로고
    • Conversations on nonequilibrium physics with an extraterrestrial
    • Ruelle D 2004 Conversations on nonequilibrium physics with an extraterrestrial Phys. Today 57 (5) 48
    • (2004) Phys. Today , vol.57 , Issue.5 , pp. 48
    • Ruelle, D.1
  • 6
    • 0033246861 scopus 로고    scopus 로고
    • Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
    • Ruelle D 1999 Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics J. Stat. Phys. 95 393
    • (1999) J. Stat. Phys. , vol.95 , pp. 393
    • Ruelle, D.1
  • 7
    • 0021372413 scopus 로고
    • Non-equilibrium steady states of stochastic lattice gas models of fast ionic conductors
    • Katz S, Lebowitz J and Spohn H 1984 Non-equilibrium steady states of stochastic lattice gas models of fast ionic conductors J. Stat. Phys. 34 497
    • (1984) J. Stat. Phys. , vol.34 , Issue.3-4 , pp. 497
    • Katz, S.1    Lebowitz, J.2    Spohn, H.3
  • 8
    • 0000669932 scopus 로고
    • Invariant-measures for the zero range process
    • Andjel E D 1982 Invariant-measures for the zero range process Ann. Probab. 10 525
    • (1982) Ann. Probab. , vol.10 , pp. 525
    • Andjel, E.D.1
  • 9
    • 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
  • 10
    • 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
  • 11
    • 0040629192 scopus 로고
    • Phase transitions in an exactly soluble one-dimensional asymmetric exclusion model
    • Schütz G and Domany E 1993 Phase transitions in an exactly soluble one-dimensional asymmetric exclusion model J. Stat. Phys. 72 277
    • (1993) J. Stat. Phys. , vol.72 , Issue.1-2 , pp. 277
    • Schütz, G.1    Domany, E.2
  • 12
    • 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
  • 14
    • 10944234743 scopus 로고    scopus 로고
    • Temperature profiles in Hamiltonian heat conduction
    • Eckmann J P and Young L S 2004 Temperature profiles in Hamiltonian heat conduction Europhys. Lett. 68 790
    • (2004) Europhys. Lett. , vol.68 , Issue.6 , pp. 790
    • Eckmann, J.P.1    Young, L.S.2
  • 15
    • 29644442958 scopus 로고    scopus 로고
    • Nonequilibrium energy profiles for a class of 1-D models
    • Eckmann J P and Young L S 2006 Nonequilibrium energy profiles for a class of 1-D models Commun. Math. Phys. 262 237
    • (2006) Commun. Math. Phys. , vol.262 , Issue.1 , pp. 237
    • Eckmann, J.P.1    Young, L.S.2
  • 16
    • 4344644671 scopus 로고    scopus 로고
    • Fourier's law for a harmonic crystal with self-consistent stochastic reservoirs
    • Bonetto F, Lebowitz J L and Lukkarinen J 2004 Fourier's law for a harmonic crystal with self-consistent stochastic reservoirs J. Stat. Phys. 116 783
    • (2004) J. Stat. Phys. , vol.116 , Issue.1-4 , pp. 783
    • Bonetto, F.1    Lebowitz, J.L.2    Lukkarinen, J.3
  • 17
    • 42749108155 scopus 로고    scopus 로고
    • Exactly solvable model for driven dissipative systems
    • Srebro Y and Levine D 2004 Exactly solvable model for driven dissipative systems Phys. Rev. Lett. 93 240601
    • (2004) Phys. Rev. Lett. , vol.93 , Issue.24 , pp. 240601
    • Srebro, Y.1    Levine, D.2
  • 18
    • 0037065129 scopus 로고    scopus 로고
    • Anomalous heat conduction in one-dimensional momentum-conserving systems
    • Narayan O and Ramaswamy S 2002 Anomalous heat conduction in one-dimensional momentum-conserving systems Phys. Rev. Lett. 89 200601
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.20 , pp. 200601
    • Narayan, O.1    Ramaswamy, S.2
  • 19
    • 28644441976 scopus 로고    scopus 로고
    • Fourier's law for a microscopic model of heat conduction
    • Bernardin C and Olla S 2005 Fourier's law for a microscopic model of heat conduction J. Stat. Phys. 121 271
    • (2005) J. Stat. Phys. , vol.121 , Issue.3-4 , pp. 271
    • Bernardin, C.1    Olla, S.2
  • 20
    • 0032142619 scopus 로고    scopus 로고
    • On the anomalous thermal conductivity of one-dimensional lattices
    • Lepri S, Livi R and Politi A 1998 On the anomalous thermal conductivity of one-dimensional lattices Europhys. Lett. 43 271
    • (1998) Europhys. Lett. , vol.43 , Issue.3 , pp. 271
    • Lepri, S.1    Livi, R.2    Politi, A.3
  • 21
    • 0042678388 scopus 로고
    • Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state
    • Eyink G, Lebowitz J L and Spohn H 1991 Lattice gas models in contact with stochastic reservoirs: local equilibrium and relaxation to the steady state Commun. Math. Phys. 140 119
    • (1991) Commun. Math. Phys. , vol.140 , Issue.1 , pp. 119
    • Eyink, G.1    Lebowitz, J.L.2    Spohn, H.3
  • 22
    • 84990617818 scopus 로고
    • Hydrodynamics and large deviations for simple exclusion processes
    • Kipnis C, Olla S and Varadhan S 1989 Hydrodynamics and large deviations for simple exclusion processes Commun. Pure Appl. Math. 42 115
    • (1989) Commun. Pure Appl. Math. , vol.42 , Issue.2 , pp. 115
    • Kipnis, C.1    Olla, S.2    Varadhan, S.3
  • 26
    • 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
  • 27
    • 0036256962 scopus 로고    scopus 로고
    • Large deviation of the density profile in the steady state of the open 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 open 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
  • 28
    • 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
    • (2004) J. Stat. Phys. , vol.114 , Issue.3-4 , pp. 537
    • Enaud, C.1    Derrida, B.2
  • 30
    • 0001623535 scopus 로고
    • Microscopic structure of traveling waves in the asymmetric simple exclusion process
    • Ferrari P A, Kipnis C and Saada E 1991 Microscopic structure of traveling waves in the 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
  • 31
    • 0002191939 scopus 로고
    • Shock fluctuations in asymmetric simple exclusion
    • Ferrari P A 1992 Shock fluctuations in asymmetric simple exclusion Probab. Theory Relat. Fields 91 81
    • (1992) Probab. Theory Relat. Fields , vol.91 , Issue.1 , pp. 81
    • Ferrari, P.A.1
  • 32
    • 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
  • 33
    • 41349114187 scopus 로고    scopus 로고
    • Asymmetric exclusion process and extremal statistics of random sequences
    • Bundschuh R 2002 Asymmetric exclusion process and extremal statistics of random sequences Phys. Rev. E 65 031911
    • (2002) Phys. Rev. , vol.65 , Issue.3 , pp. 031911
    • Bundschuh, R.1
  • 34
    • 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. 68 021910
    • (2003) Phys. Rev. , vol.68 , pp. 021910
    • Shaw, L.B.1    Zia, R.K.P.2    Lee, K.H.3
  • 35
    • 0000364352 scopus 로고
    • Theory of one-dimensional hopping conductivity and diffusion
    • Richards P M 1977 Theory of one-dimensional hopping conductivity and diffusion Phys. Rev. B 16 1393
    • (1977) Phys. Rev. , vol.16 , Issue.4 , pp. 1393
    • Richards, P.M.1
  • 36
    • 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
  • 37
    • 0012575045 scopus 로고
    • Kinetic roughening phenomena, stochastic growth directed polymers and all that
    • Halpin-Healy T and Zhang Y C 1995 Kinetic roughening phenomena, stochastic growth directed polymers and all that Phys. Rep. 254 215
    • (1995) Phys. Rep. , vol.254 , Issue.4-6 , pp. 215
    • Halpin-Healy, T.1    Zhang, Y.C.2
  • 38
    • 0000092954 scopus 로고
    • Repton model of gel-electrophoresis and diffusion
    • Widom B, Viovy J L and Defontaines A D 1991 Repton model of gel-electrophoresis and diffusion J. Physique I 1 1759
    • (1991) J. Physique , vol.1 , Issue.12 , pp. 1759
    • Widom, B.1    Viovy, J.L.2    Defontaines, A.D.3
  • 40
    • 0035442491 scopus 로고    scopus 로고
    • Exact time-dependent correlation functions for the symmetric exclusion process with open boundary
    • Santos J E and Schütz G M 2001 Exact time-dependent correlation functions for the symmetric exclusion process with open boundary Phys. Rev. E 64 036107
    • (2001) Phys. Rev. , vol.64 , Issue.3 , pp. 036107
    • Santos, J.E.1    Schütz, G.M.2
  • 41
    • 0001884774 scopus 로고
    • The surface statistics of a granular aggregate
    • Edwards S F and Wilkinson D R 1982 The surface statistics of a granular aggregate Proc. R. Soc. A 381 17
    • (1982) Proc. R. Soc. , vol.381 , Issue.1780 , pp. 17
    • Edwards, S.F.1    Wilkinson, D.R.2
  • 46
    • 4243360952 scopus 로고
    • Probability of second law violations in shearing steady states
    • Evans D J, Cohen E G D and Morriss G P 1993 Probability of second law violations in shearing steady states Phys. Rev. Lett. 71 2401
    • (1993) Phys. Rev. Lett. , vol.71 , Issue.15 , pp. 2401
    • Evans, D.J.1    Cohen, E.G.D.2    Morriss, G.P.3
  • 47
    • 17044421499 scopus 로고
    • Dynamical ensembles in stationary states
    • Gallavotti G and Cohen E D G 1995 Dynamical ensembles in stationary states J. Stat. Phys. 80 931
    • (1995) J. Stat. Phys. , vol.80 , Issue.5-6 , pp. 931
    • Gallavotti, G.1    Cohen, E.D.G.2
  • 48
    • 0036864627 scopus 로고    scopus 로고
    • The fluctuation theorem
    • Evans D J and Searles D J 2002 The fluctuation theorem Adv. Phys. 51 1529
    • (2002) Adv. Phys. , vol.51 , Issue.7 , pp. 1529
    • Evans, D.J.1    Searles, D.J.2
  • 49
    • 0040120726 scopus 로고    scopus 로고
    • Fluctuation theorem for stochastic dynamics
    • Kurchan J 1998 Fluctuation theorem for stochastic dynamics J. Phys. A: Math. Gen. 31 3719
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.16 , pp. 3719
    • Kurchan, J.1
  • 50
    • 0033246864 scopus 로고    scopus 로고
    • A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics
    • Lebowitz J L and Spohn H 1999 A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics J. Stat. Phys. 95 333
    • (1999) J. Stat. Phys. , vol.95 , pp. 333
    • Lebowitz, J.L.1    Spohn, H.2
  • 51
    • 2942689231 scopus 로고    scopus 로고
    • Current fluctuations in the one-dimensional symmetric exclusion process with open boundaries
    • Derrida B, Douçot B and Roche P-E 2004 Current fluctuations in the one-dimensional symmetric exclusion process with open boundaries J. Stat. Phys. 115 717
    • (2004) J. Stat. Phys. , vol.115 , pp. 717
    • Derrida, B.1    Douçot, B.2    Roche, P.-E.3
  • 52
    • 2942644661 scopus 로고    scopus 로고
    • Current fluctuations in nonequilibrium diffusive systems: An additivity principle
    • Bodineau T and Derrida B 2004 Current fluctuations in nonequilibrium diffusive systems: an additivity principle Phys. Rev. Lett. 92 180601
    • (2004) Phys. Rev. Lett. , vol.92 , Issue.18 , pp. 180601
    • Bodineau, T.1    Derrida, B.2
  • 53
    • 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 030601
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.3 , pp. 030601
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 54
    • 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
  • 55
    • 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
  • 56
    • 0033243772 scopus 로고    scopus 로고
    • Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
    • Eckmann J P, Pillet C A and Rey-Bellet L 1999 Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures Commun. Math. Phys. 201 657
    • (1999) Commun. Math. Phys. , vol.201 , Issue.3 , pp. 657
    • Eckmann, J.P.1    Pillet, C.A.2    Rey-Bellet, L.3
  • 57
    • 34447567393 scopus 로고    scopus 로고
    • Cumulants and large deviations of the current through non-equilibrium steady states
    • Bodineau T and Derrida B 2007 Cumulants and large deviations of the current through non-equilibrium steady states C. R. Acad. Sci. at press
    • (2007) C. R. Acad. Sci.
    • Bodineau, T.1    Derrida, B.2
  • 58
    • 0034345461 scopus 로고    scopus 로고
    • On the definition of entropy production, via examples
    • Maes C, Redig F F and Moffaert A V 2000 On the definition of entropy production, via examples J. Math. Phys. 41 1528
    • (2000) J. Math. Phys. , vol.41 , Issue.3 , pp. 1528
    • Maes, C.1    Redig, F.F.2    Moffaert, A.V.3
  • 59
    • 27144483816 scopus 로고    scopus 로고
    • Entropy production along a stochastic trajectory and an integral fluctuation theorem
    • Seifert U 2005 Entropy production along a stochastic trajectory and an integral fluctuation theorem Phys. Rev. Lett. 95 040602
    • (2005) Phys. Rev. Lett. , vol.95 , Issue.4 , pp. 040602
    • Seifert, U.1
  • 60
    • 0004100744 scopus 로고    scopus 로고
    • Entropy, large deviations, and statistical mechanics
    • Ellis R 2006 Entropy, large deviations, and statistical mechanics Classics in Mathematics (Berlin: Springer) (reprint of the 1985 original)
    • (2006) Classics in Mathematics
    • Ellis, R.1
  • 61
    • 0003208243 scopus 로고    scopus 로고
    • Large deviations techniques and applications
    • Dembo A and Zeitouni O 1998 Large deviations techniques and applications Applications of Mathematics vol 38 2nd edn (Berlin: Springer)
    • (1998) Applications of Mathematics , vol.38
    • Dembo, A.1    Zeitouni, O.2
  • 62
    • 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
    • (1995) Phys. Rev. Lett. , vol.74 , Issue.2 , pp. 208
    • Evans, M.R.1    Foster, D.P.2    Godreche, C.3    Mukamel, D.4
  • 63
    • 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
  • 64
    • 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
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.3 , pp. 425
    • Evans, M.R.1    Kafri, Y.2    Koduvely, H.M.3    Mukamel, D.4
  • 66
    • 0002214237 scopus 로고    scopus 로고
    • An exactly soluble non-equilibrium system: The asymmetric exclusion process
    • Derrida B 1998 An exactly soluble non-equilibrium system: the asymmetric exclusion process Phys. Rep. 301 65
    • (1998) Phys. Rep. , vol.301 , Issue.1-3 , pp. 65
    • Derrida, B.1
  • 67
    • 0033216540 scopus 로고    scopus 로고
    • Steady-state selection in driven diffusive systems with open boundaries
    • Popkov V and Schutz G M 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    Schutz, G.M.2
  • 68
    • 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
    • (2000) Braz. J. Phys. , vol.30 , Issue.1 , pp. 42
    • Evans, M.R.1
  • 69
  • 70
    • 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
  • 71
    • 42749101631 scopus 로고    scopus 로고
    • Phase transitions in the ABC model
    • Clincy M, Derrida B and Evans M R 2003 Phase transitions 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
  • 72
    • 3542990912 scopus 로고    scopus 로고
    • Dynamical windings of random walks and exclusion models. Part I: Thermodynamic limit in Z(2)
    • Fayolle G and Furtlehner C 2004 Dynamical windings of random walks and exclusion models. Part I: thermodynamic limit in Z(2) J. Stat. Phys. 114 229
    • (2004) J. Stat. Phys. , vol.114 , Issue.1-2 , pp. 229
    • Fayolle, G.1    Furtlehner, C.2
  • 73
    • 0000504623 scopus 로고
    • Long range correlations for stochastic lattice gases in a non-equilibrium steady state
    • Spohn H 1983 Long range correlations for stochastic lattice gases in a non-equilibrium steady state J. Phys. A: Math. Gen. 16 4275
    • (1983) J. Phys. A: Math. Gen. , vol.16 , Issue.18 , pp. 4275
    • Spohn, H.1
  • 74
    • 0000232675 scopus 로고
    • Fluctuations in a fluid under a stationary heat-flux.1. General theory
    • Schmitz R and Cohen E G D 1985 Fluctuations in a fluid under a stationary heat-flux.1. General theory J. Stat. Phys. 39 285
    • (1985) J. Stat. Phys. , vol.39 , Issue.3-4 , pp. 285
    • Schmitz, R.1    Cohen, E.G.D.2
  • 76
    • 3543145522 scopus 로고    scopus 로고
    • On the physical origin of long-ranged fluctuations in fluids in thermal nonequilibrium states
    • de Zarate J M O and Sengers J V 2004 On the physical origin of long-ranged fluctuations in fluids in thermal nonequilibrium states J. Stat. Phys. 115 1341
    • (2004) J. Stat. Phys. , vol.115 , Issue.5-6 , pp. 1341
    • De Zarate, J.M.O.1    Sengers, J.V.2
  • 77
    • 17444382335 scopus 로고    scopus 로고
    • Fluctuations in the weakly asymmetric exclusion process with open boundary conditions
    • Derrida B, Enaud C, Landim C and Olla S 2005 Fluctuations in the weakly asymmetric exclusion process with open boundary conditions J. Stat. Phys. 118 795
    • (2005) J. Stat. Phys. , vol.118 , Issue.5-6 , pp. 795
    • Derrida, B.1    Enaud, C.2    Landim, C.3    Olla, S.4
  • 79
    • 0030520714 scopus 로고    scopus 로고
    • One-dimensional asymmetric exclusion model with open boundaries
    • Sasamoto T, Mori S and Wadati M 1996 One-dimensional asymmetric exclusion model with open boundaries J. Phys. Soc. Japan 65 2000
    • (1996) J. Phys. Soc. Japan , vol.65 , Issue.7 , pp. 2000
    • Sasamoto, T.1    Mori, S.2    Wadati, M.3
  • 80
    • 36149048160 scopus 로고
    • Exact results for 2d directed animals on a strip of finite width
    • Hakim V and Nadal J P 1983 Exact results for 2d directed animals on a strip of finite width J. Phys. A: Math. Gen. 16 L213
    • (1983) J. Phys. A: Math. Gen. , vol.16 , Issue.7 , pp. 213
    • Hakim, V.1    Nadal, J.P.2
  • 81
    • 0009504187 scopus 로고
    • Valence bond ground-states in isotropic quantum antiferromagnets
    • Affleck I, Kennedy T, Lieb E H and Tasaki H 1988 Valence bond ground-states in isotropic quantum antiferromagnets Commun. Math. Phys. 115 477
    • (1988) Commun. Math. Phys. , vol.115 , Issue.3 , pp. 477
    • Affleck, I.1    Kennedy, T.2    Lieb, E.H.3    Tasaki, H.4
  • 82
    • 0000089371 scopus 로고
    • Equivalence and solution of anisotropic spin-1 models and generalized T-J Fermion models in one dimension
    • Klumper 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
    • (1991) J. Phys. A: Math. Gen. , vol.24 , Issue.16 , pp. 955
    • Klumper, A.1    Schadschneider, A.2    Zittartz, J.3
  • 83
  • 84
    • 13444256997 scopus 로고    scopus 로고
    • Fluctuation statistics in networks: A stochastic path integral approach
    • Jordan A N, Sukhorukov E V and Pilgram S 2004 Fluctuation statistics in networks: a stochastic path integral approach J. Math. Phys. 45 4386
    • (2004) J. Math. Phys. , vol.45 , Issue.11 , pp. 4386
    • Jordan, A.N.1    Sukhorukov, E.V.2    Pilgram, S.3
  • 86
    • 29044447618 scopus 로고    scopus 로고
    • Large deviation for a stochastic model of heat flow
    • Bertini L, Gabrielli D and Lebowitz J 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.3
  • 88
    • 0030510671 scopus 로고    scopus 로고
    • Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem
    • Gallavotti G 1996 Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem J. Stat. Phys. 84 899
    • (1996) J. Stat. Phys. , vol.84 , Issue.5-6 , pp. 899
    • Gallavotti, G.1
  • 89
    • 0000765761 scopus 로고    scopus 로고
    • Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences
    • Crooks G E 1999 Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences Phys. Rev. E 60 2721
    • (1999) Phys. Rev. , vol.60 , Issue.3 , pp. 2721
    • Crooks, G.E.1
  • 90
    • 0033246860 scopus 로고    scopus 로고
    • The fluctuation theorem as a Gibbs property
    • Maes C 1999 The fluctuation theorem as a Gibbs property J. Stat. Phys. 95 367
    • (1999) J. Stat. Phys. , vol.95 , pp. 367
    • Maes, C.1
  • 91
    • 7244258869 scopus 로고    scopus 로고
    • Entropy production in nonequilibrium thermodynamics: A point of view
    • Gallavotti G 2004 Entropy production in nonequilibrium thermodynamics: a point of view Chaos 14 680
    • (2004) Chaos , vol.14 , Issue.3 , pp. 680
    • Gallavotti, G.1
  • 92
    • 2942596127 scopus 로고    scopus 로고
    • Fluctuation theorem for nonequilibrium reactions
    • Gaspard P 2004 Fluctuation theorem for nonequilibrium reactions J. Chem. Phys. 120 8898
    • (2004) J. Chem. Phys. , vol.120 , Issue.19 , pp. 8898
    • Gaspard, P.1
  • 93
    • 24644436786 scopus 로고    scopus 로고
    • Current fluctuations in the zero-range process with open boundaries
    • Harris R J, Rkos A and Schütz G M 2005 Current fluctuations in the zero-range process with open boundaries J. Stat. Mech. P08003
    • (2005) J. Stat. Mech. , vol.2005 , Issue.8 , pp. 08003
    • Harris, R.J.1    Rkos, A.2    Schütz, G.M.3
  • 94
    • 0242607059 scopus 로고    scopus 로고
    • Power fluctuations in stochastic models of dissipative systems
    • Farago J 2004 Power fluctuations in stochastic models of dissipative systems Physica A 331 69
    • (2004) Physica , vol.331 , Issue.1-2 , pp. 69
    • Farago, J.1
  • 95
    • 33746290166 scopus 로고    scopus 로고
    • Breakdown of Gallavotti-Cohen symmetry for stochastic dynamics
    • Harris R J, Rakos A and Schütz G M 2006 Breakdown of Gallavotti-Cohen symmetry for stochastic dynamics Europhys. Lett. 75 227
    • (2006) Europhys. Lett. , vol.75 , Issue.2 , pp. 227
    • Harris, R.J.1    Rakos, A.2    Schütz, G.M.3
  • 96
    • 37649029130 scopus 로고    scopus 로고
    • Work fluctuations for a Brownian particle between two thermostats
    • Visco P 2006 Work fluctuations for a Brownian particle between two thermostats J. Stat. Mech. P06006
    • (2006) J. Stat. Mech. , vol.2006 , Issue.6 , pp. 06006
    • Visco, P.1
  • 97
    • 11744342693 scopus 로고    scopus 로고
    • Exact large deviation function in the asymmetric exclusion process
    • Derrida B and Lebowitz J L 1998 Exact large deviation function in the asymmetric exclusion process Phys. Rev. Lett. 80 209
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.2 , pp. 209
    • Derrida, B.1    Lebowitz, J.L.2
  • 98
    • 0032589530 scopus 로고    scopus 로고
    • Universal large deviation function of the Kardar-Parisi-Zhang equation in one dimension
    • Derrida B and Appert C 1999 Universal large deviation function of the Kardar-Parisi-Zhang equation in one dimension J. Stat. Phys. 94 1
    • (1999) J. Stat. Phys. , vol.94 , pp. 1
    • Derrida, B.1    Appert, C.2
  • 99
    • 33645525254 scopus 로고    scopus 로고
    • Direct evaluation of large-deviation functions
    • Giardina C, Kurchan J and Peliti L 2006 Direct evaluation of large-deviation functions Phys. Rev. Lett. 96 120603
    • (2006) Phys. Rev. Lett. , vol.96 , Issue.12 , pp. 120603
    • Giardina, C.1    Kurchan, J.2    Peliti, L.3
  • 100
    • 0001452620 scopus 로고
    • Universal statistics of transport in disordered conductors
    • Lee H, Levitov L S and Yakovets A Yu 1995 Universal statistics of transport in disordered conductors Phys. Rev. B 51 4079
    • (1995) Phys. Rev. , vol.51 , Issue.7 , pp. 4079
    • Lee, H.1    Levitov, L.S.2    Yu, Y.A.3
  • 101
    • 0004473015 scopus 로고    scopus 로고
    • Shot noise in mesoscopic conductors
    • Blanter Y M and Büttiker M 2000 Shot noise in mesoscopic conductors Phys. Rep. 336 1
    • (2000) Phys. Rep. , vol.336 , Issue.1-2 , pp. 1
    • Blanter, Y.M.1    Büttiker, M.2
  • 102
    • 20044370534 scopus 로고    scopus 로고
    • Large deviations in weakly interacting boundary driven lattice gases
    • van Wijland F and Rcz Z 2005 Large deviations in weakly interacting boundary driven lattice gases J. Stat. Phys. 118 27
    • (2005) J. Stat. Phys. , vol.118 , Issue.1-2 , pp. 27
    • Van Wijland, F.1    Rcz, Z.2
  • 105
    • 33244468323 scopus 로고    scopus 로고
    • Distribution of current in nonequilibrium diffusive systems and phase transitions
    • Bodineau T and Derrida B 2005 Distribution of current in nonequilibrium diffusive systems and phase transitions Phys. Rev. E 72 066110
    • (2005) Phys. Rev. , vol.72 , pp. 066110
    • Bodineau, T.1    Derrida, B.2
  • 106
    • 21144481123 scopus 로고
    • Exact diffusion constant for one dimensional asymmetric exclusion models
    • Derrida B, Evans M R and Mukamel D 1993 Exact diffusion constant for one dimensional asymmetric exclusion models J. Phys. A: Math. Gen. 26 4911
    • (1993) J. Phys. A: Math. Gen. , vol.26 , Issue.19 , pp. 4911
    • Derrida, B.1    Evans, M.R.2    Mukamel, D.3
  • 107
    • 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
  • 108
    • 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
    • (1995) J. Stat. Phys. , vol.79 , Issue.5-6 , pp. 833
    • Derrida, B.1    Evans, M.R.2    Mallick, K.3
  • 109
    • 0001043453 scopus 로고
    • Application of operator-algebras to stochastic dynamics and the Heisenberg chain
    • Stinchcombe R B and Schutz G M 1995 Application of operator-algebras to stochastic dynamics and the Heisenberg chain Phys. Rev. Lett. 75 140
    • (1995) Phys. Rev. Lett. , vol.75 , Issue.1 , pp. 140
    • Stinchcombe, R.B.1    Schutz, G.M.2
  • 110
    • 0031581733 scopus 로고    scopus 로고
    • Exact diffusion constant for the one-dimensional partially asymmetric exclusion model
    • Derrida B and Mallick K 1996 Exact diffusion constant for the one-dimensional partially asymmetric exclusion model J. Phys. A: Math. Gen. 30 1031
    • (1996) J. Phys. A: Math. Gen. , vol.30 , pp. 1031
    • Derrida, B.1    Mallick, K.2
  • 111
    • 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
    • (1996) J. Phys. A: Math. Gen. , vol.29 , Issue.13 , pp. 3375
    • Essler, F.H.L.1    Rittenberg, V.2
  • 112
    • 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
    • (1996) J. Phys. A: Math. Gen. , vol.29 , Issue.11 , pp. 2643
    • Hinrichsen, H.1    Sandow, S.2    Peschel, I.3
  • 113
    • 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
  • 114
    • 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
    • (1997) J. Stat. Phys. , vol.89 , Issue.1-2 , pp. 169
    • Speer, E.R.1
  • 115
    • 0031256231 scopus 로고    scopus 로고
    • Shock profiles for the partially asymmetric simple exclusion process
    • Derrida B, Lebowitz J L and Speer E R 1997 Shock profiles for the partially asymmetric simple exclusion process J. Stat. Phys. 89 135
    • (1997) J. Stat. Phys. , vol.89 , Issue.1-2 , pp. 135
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 116
    • 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
  • 117
    • 0039835344 scopus 로고    scopus 로고
    • Shift equivalence of measures and the intrinsic structure of shocks in the asymmetric simple exclusion process
    • Derrida B, Goldstein S, Lebowitz J L and Speer E R 1998 Shift equivalence of measures and the intrinsic structure of shocks in the asymmetric simple exclusion process J. Stat. Phys. 93 547
    • (1998) J. Stat. Phys. , vol.93 , pp. 547
    • Derrida, B.1    Goldstein, S.2    Lebowitz, J.L.3    Speer, E.R.4
  • 118
    • 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
  • 119
    • 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
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.3 , pp. 845
    • Alcaraz, F.C.1    Dasmahapatra, S.2    Rittenberg, V.3
  • 120
    • 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
  • 121
    • 0034334818 scopus 로고    scopus 로고
    • Non-equilibrium critical phenomena and phase transitions into absorbing states
    • Hinrichsen H 2000 Non-equilibrium critical phenomena and phase transitions into absorbing states Adv. Phys. 49 815
    • (2000) Adv. Phys. , vol.49 , Issue.7 , pp. 815
    • Hinrichsen, H.1
  • 123
    • 0042882691 scopus 로고    scopus 로고
    • A matrix ansatz for the diffusion of an impurity in the asymmetric exclusion process
    • Boutillier C, François P, Mallick K and Mallick S 2002 A matrix ansatz for the diffusion of an impurity in the asymmetric exclusion process J. Phys. A: Math. Gen. 35 9703
    • (2002) J. Phys. A: Math. Gen. , vol.35 , Issue.46 , pp. 9703
    • Boutillier, C.1    François, P.2    Mallick, K.3    Mallick, S.4
  • 124
    • 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
    • (2004) Physica , vol.339 , Issue.3-4 , pp. 369
    • Jafarpour, F.H.1
  • 125
    • 4344675395 scopus 로고    scopus 로고
    • Exact joint density-current probability function for the asymmetric exclusion process
    • Depken M and Stinchcombe R 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.2
  • 126
    • 41349083270 scopus 로고    scopus 로고
    • Exact probability function for bulk density and current in the asymmetric exclusion process
    • Depken M and Stinchcombe R 2005 Exact probability function for bulk density and current in the asymmetric exclusion process Phys. Rev. E 71 036120
    • (2005) Phys. Rev. , vol.71 , pp. 036120
    • Depken, M.1    Stinchcombe, R.2
  • 127
    • 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
  • 128
    • 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
    • (2005) J. Comb. Theory , vol.110 , Issue.1 , pp. 1
    • Duchi, E.1    Schaeffer, G.2
  • 129
    • 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
    • (2002) J. Stat. Phys. , vol.106 , pp. 187
    • Santen, L.1    Appert, C.2
  • 130
    • 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
  • 131
    • 33644519334 scopus 로고    scopus 로고
    • Equilibrium fluctuations for a system of harmonic oscillators with conservative noise
    • Fritz J, Nagy K and Olla S 2006 Equilibrium fluctuations for a system of harmonic oscillators with conservative noise J. Stat. Phys. 122 399
    • (2006) J. Stat. Phys. , vol.122 , Issue.3 , pp. 399
    • Fritz, J.1    Nagy, K.2    Olla, S.3
  • 132
    • 33646784630 scopus 로고    scopus 로고
    • Momentum conserving model with anomalous thermal conductivity in low dimensional systems
    • Basile G, Bernardin C and Olla S 2006 Momentum conserving model with anomalous thermal conductivity in low dimensional systems Phys. Rev. Lett. 96 204303
    • (2006) Phys. Rev. Lett. , vol.96 , Issue.20 , pp. 204303
    • Basile, G.1    Bernardin, C.2    Olla, S.3
  • 133
    • 2342460359 scopus 로고    scopus 로고
    • Equilibrium states with macroscopic correlations
    • Basile G and Jona-Lasinio G 2004 Equilibrium states with macroscopic correlations Int. J. Mod. Phys. B 18 479
    • (2004) Int. J. Mod. Phys. , vol.18 , Issue.4-5 , pp. 479
    • Basile, G.1    Jona-Lasinio, G.2
  • 134
    • 33646505769 scopus 로고    scopus 로고
    • Current large deviations for asymmetric exclusion processes with open boundaries
    • Bodineau T and Derrida B 2006 Current large deviations for asymmetric exclusion processes with open boundaries J. Stat. Phys. 123 277
    • (2006) J. Stat. Phys. , vol.123 , Issue.2 , pp. 277
    • Bodineau, T.1    Derrida, B.2
  • 135
    • 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
  • 136
    • 0034340689 scopus 로고    scopus 로고
    • Shape fluctuations and random matrices
    • Johansson K 2000 Shape fluctuations and random matrices Commun. Math. Phys. 209 437
    • (2000) Commun. Math. Phys. , vol.209 , Issue.2 , pp. 437
    • Johansson, K.1
  • 137
    • 34547708433 scopus 로고    scopus 로고
    • Universal distributions for growth processes in 1+1 dimensions and random matrices
    • Prahofer M and Spohn H 2005 Universal distributions for growth processes in 1+1 dimensions and random matrices Phys. Rev. Lett. 84 240601
    • (2005) Phys. Rev. Lett. , vol.84 , pp. 240601
    • Prahofer, M.1    Spohn, H.2
  • 139
    • 0141450340 scopus 로고    scopus 로고
    • Scale invariance of the PNG droplet and the Airy process
    • Prahofer M and Spohn H 2002 Scale invariance of the PNG droplet and the Airy process J. Stat. Phys. 108 1071
    • (2002) J. Stat. Phys. , vol.108 , pp. 1071
    • Prahofer, M.1    Spohn, H.2
  • 140
    • 23744500397 scopus 로고    scopus 로고
    • Spatial correlations of the 1D KPZ surface on a flat substrate
    • Sasamoto T 2005 Spatial correlations of the 1D KPZ surface on a flat substrate J. Phys. A: Math. Gen. 38 L549
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.33 , pp. 549
    • Sasamoto, T.1
  • 141
    • 33745660065 scopus 로고    scopus 로고
    • Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals
    • Spohn H 2006 Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals Physica A 369 71
    • (2006) Physica , vol.369 , Issue.1 , pp. 71
    • Spohn, H.1
  • 143
    • 4243450938 scopus 로고
    • Bethe solution for the dynamic-scaling exponent of the noisy Burgers equation
    • Gwa L H and Spohn H 1992 Bethe solution for the dynamic-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
  • 144
    • 0040238394 scopus 로고    scopus 로고
    • Exact solution of the master equation for the asymmetric exclusion process
    • Schutz G M 1997 Exact solution of the master equation for the asymmetric exclusion process J. Stat. Phys. 88 427
    • (1997) J. Stat. Phys. , vol.88 , Issue.1-2 , pp. 427
    • Schutz, G.M.1
  • 145
    • 0001628975 scopus 로고    scopus 로고
    • Large deviation function of the partially asymmetric exclusion process
    • Lee D S and Kim D 1999 Large deviation function of the partially asymmetric exclusion process Phys. Rev. E 59 6476
    • (1999) Phys. Rev. , vol.59 , Issue.6 , pp. 6476
    • Lee, D.S.1    Kim, D.2
  • 146
    • 0041416165 scopus 로고    scopus 로고
    • Exact non stationary probabilities in the asymmetric exclusion process on a ring
    • Priezzhev V B 2003 Exact non stationary probabilities in the asymmetric exclusion process on a ring Phys. Rev. Lett. 91 050601
    • (2003) Phys. Rev. Lett. , vol.91 , Issue.5 , pp. 050601
    • Priezzhev, V.B.1
  • 147
    • 45849154989 scopus 로고    scopus 로고
    • Generalized determinant solution of the discrete-time totally asymmetric exclusion process and zero-range process
    • Brankov J G, Priezzhev V B and Shelest R V 2004 Generalized determinant solution of the discrete-time totally asymmetric exclusion process and zero-range process Phys. Rev. E 69 066136
    • (2004) Phys. Rev. , vol.69 , Issue.6 , pp. 066136
    • Brankov, J.G.1    Priezzhev, V.B.2    Shelest, R.V.3
  • 148
    • 1642603385 scopus 로고    scopus 로고
    • Bethe ansatz calculation of the spectral gap of the asymmetric exclusion process
    • Golinelli O and Mallick K 2004 Bethe ansatz calculation of the spectral gap of the asymmetric exclusion process J. Phys. A: Math. Gen. 37 3321
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.10 , pp. 3321
    • Golinelli, O.1    Mallick, K.2
  • 149
    • 23744504867 scopus 로고    scopus 로고
    • Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process
    • Rakos A and Schutz G M 2005 Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process J. Stat. Phys. 118 511
    • (2005) J. Stat. Phys. , vol.118 , Issue.3-4 , pp. 511
    • Rakos, A.1    Schutz, G.M.2
  • 150
    • 42749098179 scopus 로고    scopus 로고
    • Determinant solution for the totally asymmetric exclusion process with parallel update
    • Povolotsky A M and Priezzhev V B 2006 Determinant solution for the totally asymmetric exclusion process with parallel update J. Stat. Mech. P07002
    • (2006) J. Stat. Mech. , vol.2006 , Issue.7 , pp. 07002
    • Povolotsky, A.M.1    Priezzhev, V.B.2
  • 151
    • 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
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.41 , pp. 12679
    • Golinelli, O.1    Mallick, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.