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Volumn 123, Issue 2, 2006, Pages 277-300

Current large deviations for asymmetric exclusion processes with open boundaries

Author keywords

Large deviations; Non equilibrium; Particle systems

Indexed keywords


EID: 33646505769     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9048-4     Document Type: Article
Times cited : (96)

References (39)
  • 3
    • 33646523805 scopus 로고    scopus 로고
    • Hydrodynamics of a driven lattice gas with open boundaries: The asymmetric simple exclusion
    • O. Benois, R. Esposito, R. Marra, and M. Mourragui, Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion. Markov Process Relat. Fields 10(1):89-112 (2004).
    • (2004) Markov Process Relat. Fields , vol.10 , Issue.1 , pp. 89-112
    • Benois, O.1    Esposito, R.2    Marra, R.3    Mourragui, M.4
  • 8
    • 2942644661 scopus 로고    scopus 로고
    • Current fluctuations in non-equilibrium diffusive systems: An additivity principle
    • T. Bodineau and B. Derrida, Current fluctuations in non-equilibrium diffusive systems: an additivity principle. Phys. Rev. Lett. 92:180601 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 180601
    • Bodineau, T.1    Derrida, B.2
  • 9
    • 33244468323 scopus 로고    scopus 로고
    • Distribution of current in non-equilibrium diffusive systems and phase transitions
    • T. Bodineau and B. Derrida, Distribution of current in non-equilibrium diffusive systems and phase transitions. Phys. Rev. E 72: 0661100 (2005).
    • (2005) Phys. Rev. E , vol.72 , pp. 0661100
    • Bodineau, T.1    Derrida, B.2
  • 10
    • 0032589530 scopus 로고    scopus 로고
    • Universal large deviation function of the Kardar-Parisi-Zhang equation in one dimension
    • B. Derrida and C. Appert, Universal large deviation function of the Kardar-Parisi-Zhang equation in one dimension. J. Stat. Phys. 94:1-30 (1999).
    • (1999) J. Stat. Phys. , vol.94 , pp. 1-30
    • Derrida, B.1    Appert, C.2
  • 11
    • 2942689231 scopus 로고    scopus 로고
    • Current fluctuations in the one dimensional symmetric exclusion process with open boundaries
    • B. Derrida, B. Douçot, and P.-E. Roche, Current fluctuations in the one dimensional symmetric exclusion process with open boundaries. J. Stat. Phys. 115:717-748 (2004).
    • (2004) J. Stat. Phys. , vol.115 , pp. 717-748
    • Derrida, B.1    Douçot, B.2    Roche, P.-E.3
  • 12
    • 17444382335 scopus 로고    scopus 로고
    • Fluctuations in the weakly asymmetric exclusion process with open boundary conditions
    • B. Derrida, C. Enaud, C. Landim, and S. Olla, Fluctuations in the weakly asymmetric exclusion process with open boundary conditions. J. Stat. Phys. 118(5-6):795-811 (2005).
    • (2005) J. Stat. Phys. , vol.118 , Issue.5-6 , pp. 795-811
    • Derrida, B.1    Enaud, C.2    Landim, C.3    Olla, S.4
  • 13
    • 3542997506 scopus 로고    scopus 로고
    • The asymmetric exclusion process and Brownian excursions
    • B. Derrida, C. Enaud, and J. L. Lebowitz, The asymmetric exclusion process and Brownian excursions. J. Stat. Phys. 115:365-382 (2004).
    • (2004) J. Stat. Phys. , vol.115 , pp. 365-382
    • Derrida, B.1    Enaud, C.2    Lebowitz, J.L.3
  • 14
    • 36149030302 scopus 로고
    • Exact solution of a 1d asymmetric exclusion model using a matrix formulation
    • B. Derrida, M. R. Evans, V. Hakim, and V. Pasquier, Exact solution of a 1d asymmetric exclusion model using a matrix formulation. J. Phys. A 26:1493-1517 (1993).
    • (1993) J. Phys. A , vol.26 , pp. 1493-1517
    • Derrida, B.1    Evans, M.R.2    Hakim, V.3    Pasquier, V.4
  • 15
    • 11744342693 scopus 로고    scopus 로고
    • Exact large deviation function in the asymmetric exclusion process
    • B. Derrida and J. L. Lebowitz, Exact large deviation function in the asymmetric exclusion process. Phys. Rev. Lett. 80:209-213 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 209-213
    • Derrida, B.1    Lebowitz, J.L.2
  • 16
    • 0037101006 scopus 로고    scopus 로고
    • Exact free energy functional for a driven diffusive open stationary nonequilibrium system
    • B. Derrida, J. L. Lebowitz, and E. R. Speer, Exact free energy functional for a driven diffusive open stationary nonequilibrium system. Phys. Rev. Lett. 89:030601 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 030601
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 17
    • 0037273792 scopus 로고    scopus 로고
    • Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process
    • B. Derrida, J. L. Lebowitz, and E. R. Speer, Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process. J. Stat. Phys. 110, 775-810 (2003).
    • (2003) J. Stat. Phys. , vol.110 , pp. 775-810
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 18
    • 4344675395 scopus 로고    scopus 로고
    • Exact joint density-current probability function for the asymmetric exclusion process
    • M. Depken and R. Stinchcombe. Exact joint density-current probability function for the asymmetric exclusion process. Phys. Rev. Lett. 93:040602 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 040602
    • Depken, M.1    Stinchcombe, R.2
  • 19
    • 41349083270 scopus 로고    scopus 로고
    • Exact probability function for bulk density and current in the asymmetric exclusion process
    • M. Depken and R. Stinchcombe, Exact probability function for bulk density and current in the asymmetric exclusion process. Phys. Rev. E 71:036120 (2005).
    • (2005) Phys. Rev. E , vol.71 , pp. 036120
    • Depken, M.1    Stinchcombe, R.2
  • 20
    • 2942654602 scopus 로고    scopus 로고
    • Large deviation functional of the weakly asymmetric exclusion process
    • C. Enaud and B. Derrida. Large deviation functional of the weakly asymmetric exclusion process. J. Stat. Phys. 114:537-562 (2004).
    • (2004) J. Stat. Phys. , vol.114 , pp. 537-562
    • Enaud, C.1    Derrida, B.2
  • 21
    • 34249958349 scopus 로고
    • Hydrodynamics of stationary nonequilibrium states for some stochastic lattice gas models
    • G. Eyink, J. L. Lebowitz, and H. Spohn, Hydrodynamics of stationary nonequilibrium states for some stochastic lattice gas models. Comm. Math. Phys. 132(1):253-283 (1990).
    • (1990) Comm. Math. Phys. , vol.132 , Issue.1 , pp. 253-283
    • Eyink, G.1    Lebowitz, J.L.2    Spohn, H.3
  • 22
    • 0042678388 scopus 로고
    • Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state
    • G. Eyink, J. L. Lebowitz, and H. Spohn, Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state. Comm. Math. Phys. 140(1):119-131 (1991).
    • (1991) Comm. Math. Phys. , vol.140 , Issue.1 , pp. 119-131
    • Eyink, G.1    Lebowitz, J.L.2    Spohn, H.3
  • 25
    • 33244465143 scopus 로고    scopus 로고
    • Large deviations for the asymmetric simple exclusion process
    • Adv. Stud. Pure Math., Math. Soc. Japan, Tokyo
    • S. R. Varadhan, Large deviations for the asymmetric simple exclusion process. Stochastic Analysis on Large Scale Interacting Systems, pp. 1-27, Adv. Stud. Pure Math., Vol. 39, Math. Soc. Japan, Tokyo, 2004.
    • (2004) Stochastic Analysis on Large Scale Interacting Systems , vol.39 , pp. 1-27
    • Varadhan, S.R.1
  • 26
    • 13444256997 scopus 로고    scopus 로고
    • Fluctuation statistics in networks: A stochastic path integral approach
    • A. N. Jordan, E. V. Sukhorukov, and S. Pilgram, Fluctuation statistics in networks: A stochastic path integral approach. J. Math. Phys. 45:4386-4417 (2004).
    • (2004) J. Math. Phys. , vol.45 , pp. 4386-4417
    • Jordan, A.N.1    Sukhorukov, E.V.2    Pilgram, S.3
  • 27
    • 0000238499 scopus 로고
    • Macroscopic properties of a stationary non-equilibrium distribution for a non-gradient interacting particle system
    • C. Kipnis, S. Olla, and C. Landim, Macroscopic properties of a stationary non-equilibrium distribution for a non-gradient interacting particle system, Ann. Inst. H. Poincaré Probab. Statist. 31(1):191-221 (1995).
    • (1995) Ann. Inst. H. Poincaré Probab. Statist. , vol.31 , Issue.1 , pp. 191-221
    • Kipnis, C.1    Olla, S.2    Landim, C.3
  • 28
    • 84990617818 scopus 로고
    • Hydrodynamics and large deviations for simple exclusion processes
    • C. Kipnis, S. Olla, and S. R. Varadhan, Hydrodynamics and large deviations for simple exclusion processes. Commun. Pure Appl. Math. 42:115-137 (1989).
    • (1989) Commun. Pure Appl. Math. , vol.42 , pp. 115-137
    • Kipnis, C.1    Olla, S.2    Varadhan, S.R.3
  • 29
    • 0003237180 scopus 로고    scopus 로고
    • Scaling limits of interacting particle systems
    • Springer
    • C. Kipnis and C. Landim, Scaling limits of interacting particle systems. Grund. fur Math. Wissen. 320 (Springer 1999).
    • (1999) Grund. fur Math. Wissen. , vol.320
    • Kipnis, C.1    Landim, C.2
  • 30
    • 12044250009 scopus 로고
    • Boundary-induced phase-transitions in driven diffusive systems
    • J. Krug, Boundary-induced phase-transitions in driven diffusive systems. Phys. Rev. Lett. 67:1882-1885 (1991).
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 1882-1885
    • Krug, J.1
  • 31
    • 0034747605 scopus 로고    scopus 로고
    • Hydrodynamic limit for a nongradient interacting particle system with stochastic reservoirs
    • C. Landim, M. Mourragui, and S. Sellami, Hydrodynamic limit for a nongradient interacting particle system with stochastic reservoirs. Theory Probab. Appl. 45(4):604-623 (2002).
    • (2002) Theory Probab. Appl. , vol.45 , Issue.4 , pp. 604-623
    • Landim, C.1    Mourragui, M.2    Sellami, S.3
  • 32
    • 0003364990 scopus 로고    scopus 로고
    • Stochastic interacting systems: Contact, voter and exclusion processes
    • Springer
    • T. Liggett, Stochastic interacting systems: Contact, voter and exclusion processes. Grund. fur Math. Wissen. 324 (Springer 1999).
    • (1999) Grund. fur Math. Wissen. , vol.324
    • Liggett, T.1
  • 33
  • 35
    • 77249167474 scopus 로고    scopus 로고
    • Exactly solvable models for many-body systems far from equilibri
    • C. Domb and J. Lebowitz (Eds.), Academic Press, London
    • G. Schütz, Exactly solvable models for many-body systems far from equilibri. In: C. Domb and J. Lebowitz (Eds.), Phase Transitions and Critical Phenomena, Vol. 19, pp. 1-251, Academic Press, London, 2000.
    • (2000) Phase Transitions and Critical Phenomena , vol.19 , pp. 1-251
    • Schütz, G.1
  • 36
    • 0040629192 scopus 로고
    • Phase transitions in an exactly soluble one-dimensional asymmetric exclusion model
    • G. Schütz and E. Domany, Phase transitions in an exactly soluble one-dimensional asymmetric exclusion model. J. Stat. Phys. 72:277-296 (1993).
    • (1993) J. Stat. Phys. , vol.72 , pp. 277-296
    • Schütz, G.1    Domany, E.2


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