Towards a nonequilibrium thermodynamics: A self-contained macroscopic description of driven diffusive systems

Journal of Statistical Physics

Volumn 135, Issue 5-6, 2009, Pages 857-872

  Bertini, L ^a   De Sole, A ^a,b   Gabrielli, D ^c   Jona Lasinio, G ^d   Landim, C ^e,f  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b HARVARD UNIVERSITY   (United States)

^c UNIVERSITY OF L'AQUILA   (Italy)

^d UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^e IMPA   (Brazil)

^f UNIVERSITÉ DE ROUEN   (France)

Author keywords

Long range correlations; Nonequilibrium processes; Stationary states

Indexed keywords

EID: 67650720543     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9670-4     Document Type: Article

References (29)

1. L. Bertini A. De Sole D. Gabrielli G. Jona-Lasinio C. Landim 2001 Fluctuations in stationary non equilibrium states of irreversible processes Phys. Rev. Lett. 87 040601
2. L. Bertini A. De Sole D. Gabrielli G. Jona-Lasinio C. Landim 2002 Macroscopic fluctuation theory for stationary non equilibrium state J. Stat. Phys. 107 635 675 (Pubitemid 37133825)
3. L. Bertini A. De Sole D. Gabrielli G. Jona-Lasinio C. Landim 2004 Minimum dissipation principle in stationary non equilibrium states J. Stat. Phys. 116 831 841 (Pubitemid 39137574)
4. L. Bertini A. De Sole D. Gabrielli G. Jona-Lasinio C. Landim 2005 Current fluctuations in stochastic lattice gases Phys. Rev. Lett. 94 030601
5. L. Bertini A. De Sole D. Gabrielli G. Jona-Lasinio C. Landim 2006 Non equilibrium current fluctuations in stochastic lattice gases J. Stat. Phys. 123 237 276
6. Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G., Landim, C.: Stochastic interacting particle systems out of equilibrium. J. Stat. Mech. P07014 (2007)
7. L. Bertini D. Gabrielli J.L. Lebowitz 2005 Large deviations for a stochastic model of heat flow J. Stat. Phys. 121 843 885 (Pubitemid 41788305)
8. Bodineau, T., Derrida, B., Lecompte, V., van Wijland, F.: Long range correlations and phase transition in non-equilibrium diffusive systems. Preprint (2008). arXiv:0807.2394
9. Z. Cheng P.L. Garrido J.L. Lebowitz J.L. Vallés 1991 Long range correlations in stationary nonequilibrium systems with conservative anisotropic dynamics Europhys. Lett. 6 507 513
10. M. Clincy B. Derrida M.R. Evans 2003 Phase transition in the ABC model Phys. Rev. E 67 066115
11. J.R. Dorfman T.R. Kirkpatrick J.V. Sengers 1994 Generic long-range correlations in molecular fluids Annu. Rev. Phys. Chem. 45 213 239 (Pubitemid 24977735)
12. A. De Masi E. Presutti E. Scacciatelli 1989 The weakly asymmetric simple exclusion process Ann. Inst. Henri Poincaré Probab. 25 1 38
13. Derrida, B.: Non-equilibrium steady states: fluctuations and large deviations of the density and of the current. J. Stat. Mech. P07023 (2007)
14. M.R. Evans Y. Kafri H.M. Koduvely D. Mukamel 1998 Phase separation in one-dimensional driven diffusive systems: local dynamics leading to long-range Hamiltonians Phys. Rev. E 58 2764 2778 (Pubitemid 128596265)
15. D. Gabrielli G. Jona-Lasinio C. Landim 1996 Onsager reciprocity relations without microscopic reversibility Phys. Rev. Lett. 77 1202 1205 (Pubitemid 126625649)
16. J.L. Lebowitz H. Spohn 1996 Comment on "Onsager reciprocity relations without microscopic reversibility" and Reply Phys. Rev. Lett. 78 394 395
17. D. Gabrielli G. Jona-Lasinio C. Landim 1999 Onsager symmetry from microscopic TP invariance J. Stat. Phys. 96 639 652
18. Harris, R.J., Schütz, G.M.: Fluctuation theorems for stochastic dynamics. Preprint (2007). cond-mat/0702553
19. Kipnis, C., Landim, C.: Scaling Limits of Interacting Particle Systems. Springer, Berlin (1999)
20. C. Kipnis S. Olla S.R.S. Varadhan 1989 Hydrodynamics and large deviations for simple exclusion processes Commun. Pure Appl. Math. 42 115 137
21. Landau, L., Lifshitz, E.: Physique Statistique. MIR, Moscow (1967)
22. Maes, C., Netocny, K., Shergelashvili, B.: A Selection of Nonequilibrium Issues. Lecture Notes from the 5th Prague Summer School on Mathematical Statistical Mechanics (2006). math-ph/0701047
23. L. Onsager 1931 Reciprocal relations in irreversible processes. I Phys. Rev. 37 405 426
24. L. Onsager 1931 Reciprocal relations in irreversible processes. II Phys. Rev. 38 2265 2279
25. L. Onsager S. Machlup 1953 Fluctuations and irreversible processes Phys. Rev. 91 1505 1512 Phys. Rev. 91, 1512-1515 (1953)
26. G.L. Sewell 2005 Quantum macrostatistical theory of nonequilibrium steady states Rev. Math. Phys. 17 977 1020 (Pubitemid 41539634)
27. H. Spohn 1983 Long range correlations for stochastic lattice gases in a nonequilibrium steady state J. Phys. A 16 4275 4291
28. Spohn, H.: Large Scale Dynamics of Interacting Particles. Springer, Berlin (1991)
29. H. van Beijeren 1990 Long-range spatial correlations in a simple diffusion model J. Stat. Phys. 60 845 849