Equilibriumlike fluctuations in some boundary-driven open diffusive systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 1, 2009, Pages

  Imparato, A ^a   Lecomte, V ^b   Van Wijland, F ^c  

^a AARHUS UNIVERSITY   (Denmark)

^b UNIVERSITY OF GENEVA   (Switzerland)

^c UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL PARAMETERS; DIFFUSIVE DYNAMICS; DIFFUSIVE SYSTEM; DYNAMIC PHASE TRANSITION; PARTICLE CURRENTS; UNIVERSALITY CLASS; WILKINSON;

CONTROL SYSTEM ANALYSIS; OPEN SYSTEMS;

PHASE TRANSITIONS;

EID: 68949122396     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.011131     Document Type: Article

References (43)

1. C. Kipnis, S. Olla, and S. Varadhan, Commun. Pure Appl. Math. 42, 115 (1989). 10.1002/cpa.3160420202
2. H. Spohn, Large Scale Dynamics of Interacting Particles (Springer-Verlag, Berlin, 1991).
3. T. Liggett, Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, Fundamental Principles of Mathematical Sciences Vol. 324 (Springer-Verlag, Berlin, 1999).
4. C. Kipnis and C. Landim, Scaling Limits of Interacting Particle Systems (Springer, New York, 1999).
5. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim, Phys. Rev. Lett. 87, 040601 (2001). 10.1103/PhysRevLett.87.040601
6. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim, J. Stat. Phys. 107, 635 (2002). 10.1023/A:1014525911391 (Pubitemid 37133825)
7. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim, Math. Phys., Anal. Geom. 6, 231 (2003). 10.1023/A:1024967818899
8. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim, Phys. Rev. Lett. 94, 030601 (2005). 10.1103/PhysRevLett.94.030601 (Pubitemid 40607273)
9. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim, J. Stat. Phys. 123, 237 (2006). 10.1007/s10955-006-9056-4
10. A. Einstein, Ann. Phys. 17, 549 (1905). 10.1002/andp.19053220806
11. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II. Nonequilibrium Statistical Mechanics, Springer Series in Solid-State Sciences Vol. 31 (Springer, New York, 1998).
12. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. Lett. 71, 2401 (1993). 10.1103/PhysRevLett.71.2401
13. G. Gallavotti and E. G. D. Cohen, Phys. Rev. Lett. 74, 2694 (1995). 10.1103/PhysRevLett.74.2694
14. J. Kurchan, J. Phys. A 31, 3719 (1998). 10.1088/0305-4470/31/16/003 (Pubitemid 128059972)
15. J. L. Lebowitz and H. Spohn, J. Stat. Phys. 95, 333 (1999). 10.1023/A:1004589714161
16. C. Maes, F. Redig, and A. V. Moffaert, J. Math. Phys. 41, 1528 (2000). 10.1063/1.533195
17. U. Seifert, Phys. Rev. Lett. 95, 040602 (2005). 10.1103/PhysRevLett.95. 040602 (Pubitemid 41506195)
18. C. Maes, J. Stat. Phys. 95, 367 (1999). 10.1023/A:1004541830999
19. G. Gallavotti, Chaos 14, 680 (2004). 10.1063/1.1781911 (Pubitemid 39443302)
20. P. Gaspard, J. Chem. Phys. 120, 8898 (2004). 10.1063/1.1688758
21. B. Derrida, J. L. Lebowitz, and E. R. Speer, Phys. Rev. Lett. 87, 150601 (2001). 10.1103/PhysRevLett.87.150601
22. B. Derrida, J. L. Lebowitz, and E. R. Speer, J. Stat. Phys. 107, 599 (2002). 10.1023/A:1014555927320 (Pubitemid 37133824)
23. B. Derrida, J. L. Lebowitz, and E. R. Speer, Phys. Rev. Lett. 89, 030601 (2002). 10.1103/PhysRevLett.89.030601
24. T. Bodineau and B. Derrida, Phys. Rev. Lett. 92, 180601 (2004). 10.1103/PhysRevLett.92.180601
25. T. Bodineau and B. Derrida, Phys. Rev. E 72, 066110 (2005). 10.1103/PhysRevE.72.066110 (Pubitemid 43273018)
26. T. Bodineau and B. Derrida, C. R. Phys. 8, 540 (2007). 10.1016/j.crhy.2007.04.014
27. B. Derrida and J. L. Lebowitz, Phys. Rev. Lett. 80, 209 (1998). 10.1103/PhysRevLett.80.209
28. C. Appert-Rolland, B. Derrida, V. Lecomte, and F. van Wijland, Phys. Rev. E 78, 021122 (2008). 10.1103/PhysRevE.78.021122
29. C. Kipnis, C. Marchioro, and E. Presutti, J. Stat. Phys. 27, 65 (1982). 10.1007/BF01011740
30. L. Bertini, D. Gabrielli, and J. L. Lebowitz, J. Stat. Phys. 121, 843 (2005). 10.1007/s10955-005-5527-2 (Pubitemid 41788305)
31. S. F. Edwards and D. R. Wilkinson, Proc. R. Soc. London, Ser. A 381, 17 (1982). 10.1098/rspa.1982.0056
32. H. K. Janssen, in From Phase Transitions to Chaos, edited by, G. Györgyi, I. Kondor, L. Sasvári, and, T. Tél, (World Scientific, Singapore, 1992).
33. J. Kurchan, Six Out-of-Equilibrium Lectures (Oxford University Press, New York, 2008), Sec. 4.1.
34. J. Tailleur, J. Kurchan, and V. Lecomte, J. Phys. A 41, 505001 (2008). 10.1088/1751-8113/41/50/505001
35. B. Derrida, B. Douçot, and P.-E. Roche, J. Stat. Phys. 115, 717 (2004). 10.1023/B:JOSS.0000022379.95508.b2
36. A. N. Jordan, E. V. Sukhorukov, and S. Pilgram, J. Math. Phys. 45, 4386 (2004). 10.1063/1.1803927 (Pubitemid 41015890)
37. P. I. Hurtado and P. L. Garrido, Phys. Rev. Lett. 102, 250601 (2009). 10.1103/PhysRevLett.102.250601
38. T. Bodineau, B. Derrida, V. Lecomte, and F. van Wijland, J. Stat. Phys. 133, 1013 (2008). 10.1007/s10955-008-9647-3
39. J. Tailleur, J. Kurchan, and V. Lecomte, Phys. Rev. Lett. 99, 150602 (2007). 10.1103/PhysRevLett.99.150602 (Pubitemid 47551670)
40. C. Giardinà, J. Kurchan, and F. Redig, J. Math. Phys. 48, 033301 (2007). 10.1063/1.2711373
41. C. Giardinà, J. Kurchan, F. Redig, and K. Vafayi, J. Stat. Phys. 135, 25 (2009). 10.1007/s10955-009-9716-2
42. V. Lecomte (unpublished).
43. M. Doi, J. Phys. A 9, 1465 (1976). 10.1088/0305-4470/9/9/008