Vortices in the two-dimensional simple exclusion process

Journal of Statistical Physics

Volumn 131, Issue 5, 2008, Pages 821-841

  Bodineau, T ^a   Derrida, B ^b   Lebowitz, Joel L ^c  

^a ÉCOLE NORMALE SUPÉRIEURE   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

Diffusive systems; Exclusion processes; Fluctuation theorem; Partial currents; Vortices

Indexed keywords

EID: 43049165809     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9518-y     Document Type: Article

References (22)

1. 1. D. Andrieux P. Gaspard 2007 Network and thermodynamic conditions for a single macroscopic current fluctuation theorem Comptes Rendus Phys. 8 5–6 579 590 10.1016/j.crhy.2007.04.016 2007CRPhy...8..579A Andrieux, D., Gaspard, P.: Network and thermodynamic conditions for a single macroscopic current fluctuation theorem. Comptes Rendus Phys. 8 (5–6), 579–590 (2007)
2. 2. L. Bertini A. Sole De D. Gabrielli G. Jona-Lasinio C. Landim 2006 Nonequilibrium current fluctuations in stochastic lattice gases J. Stat. Phys. 123 2 237 276 1097.82016 10.1007/s10955-006-9056-4 2227084 Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G., Landim, C.: Nonequilibrium current fluctuations in stochastic lattice gases. J. Stat. Phys. 123 (2), 237–276 (2006)
3. 3. L. Bertini A. Sole De D. Gabrielli G. Jona–Lasinio C. Landim 2005 Current fluctuations in stochastic lattice gases Phys. Rev. Lett. 94 030601 10.1103/PhysRevLett.94.030601 2005PhRvL..94c0601B Bertini, L., De Sole, A., Gabrielli, D., Jona–Lasinio, G., Landim, C.: Current fluctuations in stochastic lattice gases. Phys. Rev. Lett. 94, 030601 (2005)
4. 4. L. Bertini A. Sole De D. Gabrielli G. Jona–Lasinio C. Landim 2007 Large deviations of the empirical current in interacting particle systems Theory Probab. Appl. 51 1 2 27 05149202 10.1137/S0040585X97982256 2324172 Bertini, L., De Sole, A., Gabrielli, D., Jona–Lasinio, G., Landim, C.: Large deviations of the empirical current in interacting particle systems. Theory Probab. Appl. 51 (1), 2–27 (2007)
5. 5. T. Bodineau B. Derrida 2004 Current fluctuations in nonequilibrium diffusive systems: an additivity principle Phys. Rev. Lett. 92 180601 10.1103/PhysRevLett.92.180601 2004PhRvL..92r0601B Bodineau, T., Derrida, B.: Current fluctuations in nonequilibrium diffusive systems: an additivity principle. Phys. Rev. Lett. 92, 180601 (2004)
6. 6. T. Bodineau B. Derrida 2005 Distribution of current in nonequilibrium diffusive systems and phase transitions Phys. Rev. E (3) 72 6 066110 10.1103/PhysRevE.72.066110 2005PhRvE..72f6110B 2203647 Bodineau, T., Derrida, B.: Distribution of current in nonequilibrium diffusive systems and phase transitions. Phys. Rev. E (3) 72 (6), 066110 (2005)
7. 7. T. Bodineau B. Derrida 2007 Cumulants and large deviations of the current through non-equilibrium steady states Comptes Rendus Phys. 8 5–6 540 555 10.1016/j.crhy.2007.04.014 2007CRPhy...8..540B Bodineau, T., Derrida, B.: Cumulants and large deviations of the current through non-equilibrium steady states. Comptes Rendus Phys. 8 (5–6), 540–555 (2007)
8. 8. F. Bonetto J. Lebowitz 2001 Thermodynamic entropy production fluctuation in a two dimensional shear flow model Phys. Rev. E 64 056129 10.1103/PhysRevE.64.056129 2001PhRvE..64e6129B Bonetto, F., Lebowitz, J.: Thermodynamic entropy production fluctuation in a two dimensional shear flow model. Phys. Rev. E 64, 056129 (2001)
9. 9. S. Ciliberto C. Laroche 1998 An experimental test of the Gallavotti-Cohen fluctuation theorem J. Phys. IV 8 215 Ciliberto, S., Laroche, C.: An experimental test of the Gallavotti-Cohen fluctuation theorem. J. Phys. IV 8, 215 (1998)
10. 10. B. Derrida B. Douçot P.-E. Roche 2004 Current fluctuations in the one dimensional symmetric exclusion process with open boundaries J. Stat. Phys. 115 717 748 1052.82020 10.1023/B:JOSS.0000022379.95508.b2 Derrida, B., Douçot, B., Roche, P.-E.: Current fluctuations in the one dimensional symmetric exclusion process with open boundaries. J. Stat. Phys. 115, 717–748 (2004)
11. 11. M. Donsker S.R.S. Varadhan 1989 Large deviations from a hydrodynamic scaling limit Commun. Pure Appl. Math. 42 3 243 270 10.1002/cpa.3160420303 982350 Donsker, M., Varadhan, S.R.S.: Large deviations from a hydrodynamic scaling limit. Commun. Pure Appl. Math. 42 (3), 243–270 (1989)
12. 12. D.J. Evans E.G.D. Cohen G.P. Morriss 1993 Probability of second law violations in shearing steady states Phys. Rev. Lett. 71 2401 0966.82507 10.1103/PhysRevLett.71.2401 1993PhRvL..71.2401E Evans, D.J., Cohen, E.G.D., Morriss, G.P.: Probability of second law violations in shearing steady states. Phys. Rev. Lett. 71, 2401 (1993)
13. 13. D.J. Evans D.J. Searles 2002 The fluctuation theorem Adv. Phys. 51 1529 1585 10.1080/00018730210155133 2002AdPhy..51.1529E Evans, D.J., Searles, D.J.: The fluctuation theorem. Adv. Phys. 51, 1529–1585 (2002)
14. 14. G. Gallavotti E.D.G. Cohen 1995 Dynamical ensembles in stationary states J. Stat. Phys. 80 931 970 1081.82580 10.1007/BF02179860 1995JSP....80..931G 1349772 Gallavotti, G., Cohen, E.D.G.: Dynamical ensembles in stationary states. J. Stat. Phys. 80, 931–970 (1995)
15. 15. G. Gallavotti 2004 Entropy production in nonequilibrium thermodynamics: a point of view Chaos 14 680 690 1080.82011 10.1063/1.1781911 2004Chaos..14..680G 2089491 Gallavotti, G.: Entropy production in nonequilibrium thermodynamics: a point of view. Chaos 14, 680–690 (2004)
16. 16. Itzykson, C., Drouffe, J.M.: Statistical Field Theory, vol. 1. From Brownian Motion to Renormalization and Lattice Gauge Theory. Cambridge Monographs on Mathematical Physics (1989)
17. 17. C. Kipnis C. Landim 1999 Scaling Limits of Interacting Particle Systems Springer Berlin 0927.60002 Kipnis, C., Landim, C.: Scaling Limits of Interacting Particle Systems. Springer, Berlin (1999)
18. 18. C. Kipnis S. Olla S. Varadhan 1989 Hydrodynamics and large deviations for simple exclusion processes Commun. Pure Appl. Math. 42 115 137 0644.76001 10.1002/cpa.3160420202 978701 Kipnis, C., Olla, S., Varadhan, S.: Hydrodynamics and large deviations for simple exclusion processes. Commun. Pure Appl. Math. 42, 115–137 (1989)
19. 19. J. Kurchan 1998 Fluctuation theorem for stochastic dynamics J. Phys. A 31 3719 0910.60095 10.1088/0305-4470/31/16/003 1998JPhA...31.3719K 1630333 Kurchan, J.: Fluctuation theorem for stochastic dynamics. J. Phys. A 31, 3719 (1998)
20. 20. J.L. Lebowitz H. Spohn 1999 A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics J. Stat. Phys. 95 333 366 0934.60090 10.1023/A:1004589714161 1705590 Lebowitz, J.L., Spohn, H.: A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics. J. Stat. Phys. 95, 333–366 (1999)
21. 21. C. Maes 1999 The fluctuation theorem as a Gibbs property J. Stat. Phys. 95 367 392 0941.60099 10.1023/A:1004541830999 1705591 Maes, C.: The fluctuation theorem as a Gibbs property. J. Stat. Phys. 95, 367–392 (1999)
22. 22. H. Spohn 1991 Large Scale Dynamics of Interacting Particles Springer Berlin 0742.76002 Spohn, H.: Large Scale Dynamics of Interacting Particles. Springer, Berlin (1991)