메뉴 건너뛰기




Volumn 42, Issue 17, 2009, Pages

Cumulants of the current in a weakly asymmetric exclusion process

Author keywords

[No Author keywords available]

Indexed keywords


EID: 67650869000     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/17/175001     Document Type: Article
Times cited : (52)

References (50)
  • 1
    • 0040261379 scopus 로고
    • Interaction of Markov processes
    • Spitzer F 1970 Interaction of Markov processes Adv. Math. 5 246-90
    • (1970) Adv. Math. , vol.5 , Issue.2 , pp. 246-290
    • Spitzer, F.1
  • 3
    • 67650936633 scopus 로고    scopus 로고
    • Ferrari P A 2008 Exclusion processes and applications (Lecture Notes of a course given at Institut Henri Poincarré) http://www.ime.usp.br/ ∼pablo/papers/ihp2008/ihp2008.pdf
    • (2008)
    • Ferrari, P.A.1
  • 4
    • 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 (Pubitemid 15438307)
    • (1984) Journal of Statistical Physics , vol.34 , Issue.3-4 , pp. 497-537
    • Katz Sheldon1    Lebowitz Joel, L.2    Spohn Herbert3
  • 6
    • 0012575045 scopus 로고
    • Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics
    • Halpin-Healy T and Zhang Y-C 1995 Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics Phys. Rep. 254 215-414
    • (1995) Phys. Rep. , vol.254 , Issue.4-6 , pp. 215-414
    • Halpin-Healy, T.1    Zhang, Y.-C.2
  • 8
    • 0002214237 scopus 로고    scopus 로고
    • An exactly soluble non-equilibrium system: The asymmetric simple exclusion process
    • PII S0370157398000064
    • Derrida B 1998 An exactly soluble non-equilibrium system: the asymmetric simple exclusion process Phys. Rep. 301 65-83 (Pubitemid 128342959)
    • (1998) Physics Report , vol.301 , Issue.1-3 , pp. 65-83
    • Derrida, B.1
  • 9
    • 77249167474 scopus 로고    scopus 로고
    • Exactly solvable models for many-body systems far from equilibrium
    • Schütz G M 2001 Exactly solvable models for many-body systems far from equilibrium Phase Transitions and Critical Phenomena vol 19 (San Diego, CA: Academic)
    • (2001) Phase Transitions and Critical Phenomena , vol.19 , pp. 1
    • Schütz, G.M.1
  • 10
    • 33749384427 scopus 로고    scopus 로고
    • The asymmetric simple exclusion process: An integrable model for non-equilibrium statistical mechanics
    • DOI 10.1088/0305-4470/39/41/S03, PII S0305447006272056, S03
    • 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 (Pubitemid 44500494)
    • (2006) Journal of Physics A: Mathematical and General , vol.39 , Issue.41 , pp. 12679-12705
    • Golinelli, O.1    Mallick, K.2
  • 11
    • 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. 2007 P07023
    • (2007) J. Stat. Mech. , vol.2007 , Issue.7 , pp. 07023
    • Derrida, B.1
  • 12
    • 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 17-31
    • (1982) Proc. R. Soc. , vol.381 , Issue.1780 , pp. 17-31
    • Edwards, S.F.1    Wilkinson, D.R.2
  • 13
  • 14
    • 21244491635 scopus 로고    scopus 로고
    • Nonequilibrium statistical mechanics of the zero-range process and related models
    • Evans M 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.1    Hanney, T.2
  • 15
    • 0031097281 scopus 로고    scopus 로고
    • Origins of scale invariance in growth processes
    • Krug J 1997 Origins of scale invariance in growth processes Adv. Phys. 46 139-282 (Pubitemid 127543010)
    • (1997) Advances in Physics , vol.46 , Issue.2 , pp. 139-282
    • Krug, J.1
  • 16
    • 11944258149 scopus 로고
    • Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
    • Gwa L-H and Spohn H 1992 Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian Phys. Rev. Lett. 68 725-8
    • (1992) Phys. Rev. Lett. , vol.68 , Issue.6 , pp. 725-728
    • Gwa, L.-H.1    Spohn, H.2
  • 17
    • 0001390734 scopus 로고
    • A six-vertex model as a diffusion problem: Derivation of correlation functions
    • Kandel D, Domany E and Nienhuis B 1990 A six-vertex model as a diffusion problem: derivation of correlation functions J. Phys. A: Math. Gen. 23 L755-62
    • (1990) J. Phys. A: Math. Gen. , vol.23 , Issue.15
    • Kandel, D.1    Domany, E.2    Nienhuis, B.3
  • 18
    • 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 (Pubitemid 126688797)
    • (1996) Journal of Physics A: Mathematical and General , vol.29 , Issue.13 , pp. 3375-3407
    • Essler, F.H.L.1    Rittenberg, V.2
  • 19
    • 37649032089 scopus 로고    scopus 로고
    • Random walks of cytoskeletal motors in open and closed compartments
    • Lipowsky R, Klumpp S and Nieuwenhuizen T M 2001 Random walks of cytoskeletal motors in open and closed compartments Phys. Rev. Lett. 87 108101
    • (2001) Phys. Rev. Lett. , vol.87 , Issue.10 , pp. 108101
    • Lipowsky, R.1    Klumpp, S.2    Nieuwenhuizen, T.M.3
  • 20
    • 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 1393-409
    • (1977) Phys. Rev. , vol.16 , Issue.4 , pp. 1393-1409
    • Richards, P.M.1
  • 21
    • 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. 329 199-329
    • (2000) Phys. Rep. , vol.329 , Issue.4-6 , pp. 199-329
    • Chowdhury, D.1    Santen, L.2    Schadschneider, A.3
  • 22
    • 36149030302 scopus 로고
    • Exact solution of a one-dimensional asymmetric exclusion model using a matrix formulation
    • Derrida B, Evans M R, Hakim V and Pasquier V 1993 Exact solution of a one-dimensional asymmetric exclusion model using a matrix formulation J. Phys. A: Math. Gen. 26 1493-517
    • (1993) J. Phys. A: Math. Gen. , vol.26 , Issue.7 , pp. 1493-1517
    • Derrida, B.1    Evans, M.R.2    Hakim, V.3    Pasquier, V.4
  • 23
    • 35648990568 scopus 로고    scopus 로고
    • Nonequilibrium steady states of matrix-product form: A solver's guide
    • Blythe R A and Evans M 2007 Nonequilibrium steady states of matrix-product form: a solver's guide J. Phys. A: Math. Theor. 40 R333-441
    • (2007) J. Phys. A: Math. Theor. , vol.40 , Issue.46
    • Blythe, R.A.1    Evans, M.2
  • 24
    • 0012620162 scopus 로고    scopus 로고
    • Current fluctuations for the totally asymmetric simple exclusion process
    • Prähofer M and Spohn H 2002 Current fluctuations for the totally asymmetric simple exclusion process In and Out of Equilibrium: Probability with a Physics Flavor (Progress in Probability vol 51) (Boston: Birkhäuser) pp 185-204
    • (2002) In and out of Equilibrium: Probability with A Physics Flavor , pp. 185-204
    • Prähofer, M.1    Spohn, H.2
  • 25
    • 33745660065 scopus 로고    scopus 로고
    • Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals
    • DOI 10.1016/j.physa.2006.04.006, PII S0378437106004018
    • Spohn H 2006 Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals Physica A 369 71-99 (Pubitemid 43975246)
    • (2006) Physica A: Statistical Mechanics and its Applications , vol.369 , Issue.1 , pp. 71-99
    • Spohn, H.1
  • 26
    • 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. 2007 P07007
    • (2007) J. Stat. Mech. , vol.2007 , Issue.7 , pp. 07007
    • Sasamoto, T.1
  • 27
    • 0002880483 scopus 로고
    • An exactly solved model for interfacial growth
    • Dhar D 1987 An exactly solved model for interfacial growth Phase Transit. 9 51
    • (1987) Phase Transit. , vol.9 , Issue.1 , pp. 51
    • Dhar, D.1
  • 28
    • 33244456980 scopus 로고    scopus 로고
    • Exact spectral gaps of the asymmetric exclusion process with open boundaries
    • de Gier J and Essler F H L 2005 Exact spectral gaps 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
  • 29
    • 37649026711 scopus 로고    scopus 로고
    • Exact spectral gaps of the asymmetric exclusion process with open boundaries
    • de Gier J and Essler F H L 2006 Exact spectral gaps of the asymmetric exclusion process with open boundaries J. Stat. Mech. 2006 P12011
    • (2006) J. Stat. Mech. , vol.2006 , Issue.12 , pp. 12011
    • De Gier, J.1    Essler, F.H.L.2
  • 30
    • 0001288820 scopus 로고
    • Bethe ansatz solution for crossover scaling functions of the asymmetric XXZ chain and the Kardar-Parisi-Zhang-type growth model
    • Kim D 1995 Bethe ansatz solution for crossover scaling functions of the asymmetric XXZ chain and the Kardar-Parisi-Zhang-type growth model Phys. Rev. E 52 3512-24
    • (1995) Phys. Rev. , vol.52 , Issue.4 , pp. 3512-3524
    • Kim, D.1
  • 31
    • 1642603385 scopus 로고    scopus 로고
    • Bethe ansatz calculation of the spectral gap of the asymmetric exclusion process
    • PII S0305447004734435
    • Golinelli O and Mallick K 2004 Bethe ansatz calculation of the spectral gap of the asymmetric exclusion process J. Phys. A: Math. Gen. 37 3321-31 (Pubitemid 38411051)
    • (2004) Journal of Physics A: Mathematical and General , vol.37 , Issue.10 , pp. 3321-3331
    • Golinelli, O.1    Mallick, K.2
  • 32
    • 14544271850 scopus 로고    scopus 로고
    • Spectral gap of the totally asymmetric exclusion process at arbitrary filling
    • DOI 10.1088/0305-4470/38/7/001
    • Golinelli O and Mallick K 2005 Spectral gap of the totally asymmetric exclusion process at arbitrary filling J. Phys. A: Math. Gen. 38 1419-25 (Pubitemid 40306082)
    • (2005) Journal of Physics A: Mathematical and General , vol.38 , Issue.7 , pp. 1419-1425
    • Golinelli, O.1    Mallick, K.2
  • 33
    • 64549132870 scopus 로고    scopus 로고
    • Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries
    • de Gier J and Essler F H L 2008 Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries J. Phys. A: Math. Theor. 41 485002
    • (2008) J. Phys. A: Math. Theor. , vol.41 , Issue.48 , pp. 485002
    • De Gier, J.1    Essler, F.H.L.2
  • 34
    • 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. 80 209-13 (Pubitemid 128621920)
    • (1998) Physical Review Letters , vol.80 , Issue.2 , pp. 209-213
    • Derrida, B.1    Lebowitz, J.L.2
  • 35
    • 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 1-30
    • (1999) J. Stat. Phys. , vol.94 , Issue.1-2 , pp. 1-30
    • Derrida, B.1    Appert, C.2
  • 37
    • 0033163725 scopus 로고    scopus 로고
    • Bethe ansatz solution for a defect particle in the asymmetric exclusion process
    • Derrida B and Evans M R 1999 Bethe ansatz solution for a defect particle in the asymmetric exclusion process J. Phys. A: Math. Gen. 32 4833-50
    • (1999) J. Phys. A: Math. Gen. , vol.32 , Issue.26 , pp. 4833-4850
    • Derrida, B.1    Evans, M.R.2
  • 38
    • 50149109591 scopus 로고    scopus 로고
    • Universal cumulants of the current in diffusive systems on a ring
    • Appert-Rolland C, Derrida B, Lecomte V and van Wijland F 2008 Universal cumulants of the current in diffusive systems on a ring Phys. Rev. E 78 021122
    • (2008) Phys. Rev. , vol.78 , Issue.2 , pp. 021122
    • Appert-Rolland, C.1    Derrida, B.2    Lecomte, V.3    Van Wijland, F.4
  • 39
    • 42449140559 scopus 로고    scopus 로고
    • Current fluctuations in the exclusion process and Bethe ansatz
    • Prolhac S and Mallick K 2008 Current fluctuations in the exclusion process and Bethe ansatz J. Phys. A: Math. Theor. 41 175002
    • (2008) J. Phys. A: Math. Theor. , vol.41 , Issue.17 , pp. 175002
    • Prolhac, S.1    Mallick, K.2
  • 40
    • 54749109112 scopus 로고    scopus 로고
    • Fluctuations and skewness of the current in the partially asymmetric exclusion process
    • Prolhac S 2008 Fluctuations and skewness of the current in the partially asymmetric exclusion process J. Phys. A: Math. Theor. 41 365003
    • (2008) J. Phys. A: Math. Theor. , vol.41 , Issue.36 , pp. 365003
    • Prolhac, S.1
  • 44
    • 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. 95 333-65
    • (1999) J. Stat. Phys. , vol.95 , Issue.1-2 , pp. 333-365
    • Lebowitz, J.L.1    Spohn, H.2
  • 45
    • 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
  • 46
    • 33244468323 scopus 로고    scopus 로고
    • Distribution of current in non-equilibrium diffusive systems and phase transitions
    • Bodineau T and Derrida B 2005 Distribution of current in non-equilibrium diffusive systems and phase transitions Phys. Rev. E 72 066110
    • (2005) Phys. Rev. , vol.72 , Issue.6 , pp. 066110
    • Bodineau, T.1    Derrida, B.2
  • 47
    • 0034349769 scopus 로고    scopus 로고
    • Exact Solution of Asymmetric Diffusion With N Classes of Particles of Arbitrary Size and Hierarchical Order
    • Alcaraz F C and Bariev R Z 2000 Exact solution of asymmetric diffusion with N classes of particles of arbitrary size and hierarchical order Braz. J. Phys. 30 655-66 (Pubitemid 33349122)
    • (2000) Brazilian Journal of Physics , vol.30 , Issue.4 , pp. 655-666
    • Alcaraz, F.C.1    Bariev, R.Z.2
  • 48
    • 67650983798 scopus 로고    scopus 로고
    • Babelon O 2007 A short introduction to classical and quantum integrable systems (Lecture Notes of a course given at IPhT, CEA Saclay) http://www.lpthe.jussieu.fr/babelon/saclay2007.pdf
    • (2007)
    • Babelon, O.1
  • 49
    • 34249282041 scopus 로고    scopus 로고
    • Family of commuting operators for the totally asymmetric exclusion process
    • Golinelli O and Mallick K 2007 Family of commuting operators for the totally asymmetric exclusion process J. Phys. A: Math. Theor. 40 5795-812
    • (2007) J. Phys. A: Math. Theor. , vol.40 , Issue.22 , pp. 5795-5812
    • Golinelli, O.1    Mallick, K.2
  • 50
    • 36048996109 scopus 로고    scopus 로고
    • Connected operators for the totally asymmetric exclusion process
    • Golinelli O and Mallick K 2007 Connected operators for the totally asymmetric exclusion process J. Phys. A: Math. Theor. 40 13231-6
    • (2007) J. Phys. A: Math. Theor. , vol.40 , Issue.44 , pp. 13231-13236
    • Golinelli, O.1    Mallick, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.