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Volumn 118, Issue 1-2, 2005, Pages 27-54

Large deviations in weakly interacting boundary driven lattice gases

Author keywords

Boundary driven systems; Current fluctuations; Driven lattice gas; Large deviations; Long ranged correlations; Nonequilibrium fluctuations; Nonequilibrium steady states; Open systems

Indexed keywords


EID: 20044370534     PISSN: 00224715     EISSN: 15729613     Source Type: Journal    
DOI: 10.1007/s10955-004-8776-6     Document Type: Article
Times cited : (21)

References (30)
  • 1
    • 42749107675 scopus 로고    scopus 로고
    • Free energy functional for nonequilibrium systems: An exactly solvable case
    • cond-mat/0105110
    • B. Derrida, J. L. Lebowitz, and E. R. Speer, Free energy functional for nonequilibrium systems: an exactly solvable case, Phys. Rev. Lett. 87:150601 (2001), cond-mat/0105110
    • (2001) Phys. Rev. Lett , vol.87
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 2
    • 11744342693 scopus 로고    scopus 로고
    • Exact large deviation function in the asymmetric exclusion process
    • cond-mat/9809044
    • B. Derrida and J. L. Lebowitz, Exact large deviation function in the asymmetric exclusion process, Phys. Rev. Lett. 80:209 (1998), cond-mat/9809044
    • (1998) Phys. Rev. Lett , vol.80 , pp. 209
    • Derrida, B.1    Lebowitz, J.L.2
  • 3
    • 0036256962 scopus 로고    scopus 로고
    • Large deviation of the density profile in the steady state of the open symmetric simple exclusion process
    • cond-mat/0109346
    • B. Derrida, J. L. Lebowitz, and E. R. Speer, Large deviation of the density profile in the steady state of the open symmetric simple exclusion process, J. Stat Phys. 107:599 (2002), cond-mat/0109346.
    • (2002) J. Stat Phys , vol.107 , pp. 599
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 4
    • 0037273792 scopus 로고    scopus 로고
    • Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process
    • cond-mat/0205353
    • 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 (2003), cond-mat/0205353
    • (2003) J. Stat. Phys , vol.110 , pp. 775
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 5
    • 2942654602 scopus 로고    scopus 로고
    • Large deviation functional of the weakly asymmetric exclusion process
    • cond-mat/0307023
    • B. Derrida and C. Enaud, Large deviation functional of the weakly asymmetric exclusion process, J. Stat. Phys. 114:537 (2004), cond-mat/0307023
    • (2004) J. Stat. Phys , vol.114 , pp. 537
    • Derrida, B.1    Enaud, C.2
  • 6
    • 2942689231 scopus 로고    scopus 로고
    • Current fluctuations in the one dimensional symmetric exclusion process with open boundaries
    • condmat/ 0310453
    • B. Derrida, B. Douçot, and P.-E. Roche, Current fluctuations in the one dimensional symmetric exclusion process with open boundaries, J. Stat. Phys. 115:713 (2004), condmat/ 0310453.
    • (2004) J. Stat. Phys , vol.115 , pp. 713
    • Derrida, B.1    Douçot, B.2    Roche, P.-E.3
  • 8
    • 0036252419 scopus 로고    scopus 로고
    • Macroscopic fluctuation theory for stationary non equilibrium states
    • condmat/ 0108040
    • L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim, Macroscopic fluctuation theory for stationary non equilibrium states, J. Stat. Phys. 107:635 (2002), condmat/ 0108040.
    • (2002) J. Stat. Phys , vol.107 , pp. 635
    • Bertini, L.1    De Sole, A.2    Gabrielli, D.3    Jona-Lasinio, G.4    Landim, C.5
  • 9
    • 2942674283 scopus 로고    scopus 로고
    • Large deviations for the boundary driven symmetric simple exclusion process
    • cond-mat/0307280
    • L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim, Large deviations for the boundary driven symmetric simple exclusion process, Math. Phys. Anal. Geom. 6:231 (2003), cond-mat/0307280.
    • (2003) Math. Phys. Anal. Geom , vol.6 , pp. 231
    • Bertini, L.1    De Sole, A.2    Gabrielli, D.3    Jona-Lasinio, G.4    Landim, C.5
  • 10
    • 0037789467 scopus 로고    scopus 로고
    • Stochastic path integral formulation of full counting statistics
    • cond-mat/0212446
    • S. Pilgram, A. N. Jordan, E. V. Sukhorukov, and M. Büttiker, Stochastic path integral formulation of full counting statistics, Phys. Rev. Lett. 90:206801 (2003), cond-mat/0212446.
    • (2003) Phys. Rev. Lett , vol.90
    • Pilgram, S.1    Jordan, A.N.2    Sukhorukov, E.V.3    Büttiker, M.4
  • 11
    • 13444256997 scopus 로고    scopus 로고
    • Fluctuation statistics in networks: A stochastic path inetgral approach
    • cond-mat/0401650
    • A. N. Jordan, E. V. Sukhorukov, and S. Pilgram, Fluctuation statistics in networks: a stochastic path inetgral approach, J. Math. Phys. 45:4386 (2004). cond-mat/0401650
    • (2004) J. Math. Phys , vol.45 , pp. 4386
    • Jordan, A.N.1    Sukhorukov, E.V.2    Pilgram, S.3
  • 12
    • 0040261379 scopus 로고
    • Interaction of Markov processes, Adv
    • F. Spitzer, Interaction of Markov processes, Adv. Math. 5:246 (1970).
    • (1970) Math , vol.5 , pp. 246
    • Spitzer, F.1
  • 14
    • 85203777490 scopus 로고    scopus 로고
    • Current fluctuations in nonequilibrium diffusive systems: An additivity principle
    • in press,cond-mat/0402305
    • T. Bodineau and B. Derrida, Current fluctuations in nonequilibrium diffusive systems: an additivity principle, Phys. Rev. Lett. in press, cond-mat/0402305.
    • Phys. Rev. Lett
    • Bodineau, T.1    Derrida, B.2
  • 15
    • 0142198818 scopus 로고    scopus 로고
    • Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
    • For References and a review of recent developments in zero range processes see, cond-mat/0308450
    • For References and a review of recent developments in zero range processes see G. M. Schütz, Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles, J. Phys. A 36:R339 (2003), cond-mat/0308450.
    • (2003) J. Phys. A , vol.36 , pp. R339
    • Schütz, G.M.1
  • 16
    • 0742271199 scopus 로고    scopus 로고
    • Stationary measures and hydrodynamics of zero range processes with several species of particles
    • condmat/ 0305306
    • S. Grosskinsky and H. Spohn, Stationary measures and hydrodynamics of zero range processes with several species of particles, Bull. Braz. Math. Soc. 34:489 (2003), condmat/ 0305306.
    • (2003) Bull. Braz. Math. Soc , vol.34 , pp. 489
    • Grosskinsky, S.1    Spohn, H.2
  • 17
    • 0000504623 scopus 로고
    • Long range correlations for stochastic lattice gases in a nonequilibrium steady-state
    • H. Spohn, Long range correlations for stochastic lattice gases in a nonequilibrium steady-state, J. Phys. A 16:4275 (1983).
    • (1983) J. Phys. A , vol.16 , pp. 4275
    • Spohn, H.1
  • 18
    • 0039499178 scopus 로고    scopus 로고
    • Exactly solvable models for many-body systems far from equilibrium
    • C. Domb and J. Lebowitz, eds. (Academic Press, London
    • G. Schütz, Exactly solvable models for many-body systems far from equilibrium, in Phase Transitions and Critical Phenomena 19, C. Domb and J. Lebowitz, eds. (Academic Press, London, 2000).
    • (2000) Phase Transitions and Critical Phenomena 19
    • Schütz, G.1
  • 19
    • 36149049574 scopus 로고
    • Second quantization representation for classical many-particle system and ibid. 9, 1479 (1976) Stochastic theory of diffusion-controlled reaction
    • M. Doi, Second quantization representation for classical many-particle system and ibid. 9, 1479 (1976) Stochastic theory of diffusion-controlled reaction, J. Phys. A 9:1465 (1976).
    • (1976) J. Phys. A , vol.9 , pp. 1465
    • Doi, M.1
  • 20
    • 0032386826 scopus 로고    scopus 로고
    • The uses of quantum field theory in diffusion-limited reactions
    • D. C. Mattis and M. L. Glasser, The uses of quantum field theory in diffusion-limited reactions, Rev. Mod. Phys. 70:979 (1998).
    • (1998) Rev. Mod. Phys , vol.70 , pp. 979
    • Mattis, D.C.1    Glasser, M.L.2
  • 21
    • 36149021145 scopus 로고
    • Fluctuations and irreversible Processes
    • L. Onsager and S. Machlup, Fluctuations and irreversible Processes, Phys. Rev. 91:1505 (1953);
    • (1953) Phys. Rev , vol.91 , pp. 1505
    • Onsager, L.1    Machlup, S.2
  • 22
    • 36149007093 scopus 로고
    • Fluctuations and irreversible processes. II. Systems with kinetic energy
    • S. Machlup and L. Onsager, Fluctuations and irreversible processes. II. Systems with kinetic energy, Phys. Rev. 91:1512 (1953).
    • (1953) Phys. Rev , vol.91 , pp. 1512
    • Machlup, S.1    Onsager, L.2
  • 23
    • 0004182339 scopus 로고    scopus 로고
    • Scaling Limits of Interacting Particle Systems
    • Springer-Verlag, Berlin, New York
    • C. Kipnis and C. Landim, Scaling Limits of Interacting Particle Systems, Grundlheren der mathematischen Wissenschaften, Vol. 320 (Springer-Verlag, Berlin, New York, 1999).
    • (1999) Grundlheren Der Mathematischen Wissenschaften , vol.320
    • Kipnis, C.1    Landim, C.2
  • 24
    • 0004524464 scopus 로고
    • A remark on the hydrodynamics of the zero range process
    • A. De Masi and P. A. Ferrari, A remark on the hydrodynamics of the zero range process, J. Stat. Phys. 36:81 (1984).
    • (1984) J. Stat. Phys , vol.36 , pp. 81
    • De Masi, A.1    Ferrari, P.A.2
  • 25
    • 85203767434 scopus 로고    scopus 로고
    • This was shown to us by G. Schütz, private communication
    • This was shown to us by G. Schütz, private communication.
  • 26
    • 0033246864 scopus 로고    scopus 로고
    • Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics
    • cond-mat/9811220
    • J. L. Lebowitz and H. Spohn, A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics, J. Stat. Phys. 95:333 (1999), cond-mat/9811220.
    • (1999) J. Stat. Phys , vol.95
    • Lebowitz, J.L.1    Spohn, H.2
  • 27
    • 4244208748 scopus 로고
    • Dynamical ensembles in nonequilibrium statistical mechanics
    • chao-dyn/9410007
    • G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in nonequilibrium statistical mechanics, Phys. Rev. Lett. 74:2694 (1995), chao-dyn/9410007.
    • (1995) Phys. Rev. Lett , vol.74 , pp. 2694
    • Gallavotti, G.1    Cohen, E.G.2
  • 28
    • 0040120726 scopus 로고    scopus 로고
    • Fluctuation theorem for stochastic dynamics
    • cond-mat/9709304
    • J. Kurchan, Fluctuation theorem for stochastic dynamics, J. Phys. A 31:3719 (1998), cond-mat/9709304.
    • (1998) J. Phys. A , vol.31
    • Kurchan, J.1
  • 29
    • 0642272737 scopus 로고    scopus 로고
    • Shot noise current-current correlations in multi-terminal diffusive conductors
    • cond-mat/9702047
    • Ya. M. Blanter and M. Büttiker, Shot noise current-current correlations in multi-terminal diffusive conductors, Phys. Rev. B 56:2127 (1997), cond-mat/9702047.
    • (1997) Phys. Rev. B , vol.56 , pp. 2127
    • Blanter, Y.A.1    Büttiker, M.2
  • 30
    • 0000263530 scopus 로고    scopus 로고
    • Noise in multiterminal diffusive conductors: Universality, nonlocality and exchange effects
    • cond-mat/9809239
    • E. V. Sukhorukov and D. Loss, Noise in multiterminal diffusive conductors: Universality, nonlocality and exchange effects, Phys. Rev. B. 59:13054 (1999), cond-mat/9809239.
    • (1999) Phys. Rev. B , vol.59
    • Sukhorukov, E.V.1    Loss, D.2


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