Onsager symmetry from microscopic TP invariance

Journal of Statistical Physics

Volumn 96, Issue 3-4, 1999, Pages 639-652

  Gabrielli, D ^a,d   Jona Lasinio, G ^b   Landim, C ^c,e  

^a SISSA   (Italy)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^c IMPA   (Brazil)

^d Institute of Mathematics and Statistics   (Brazil)

^e UNIVERSITÉ DE ROUEN   (France)

Author keywords

Interacting particle systems; Microscopic nonreversibility; Onsager symmetry; TP invariance

Indexed keywords

EID: 0033245982     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004550307453     Document Type: Article

References (17)

1. 1. L. Onsager, Phys. Rev. 37:405 (1931); Phys. Rev. 38:2265 (1931).
2. 1. L. Onsager, Phys. Rev. 37:405 (1931); Phys. Rev. 38:2265 (1931).
3. 2. L. Onsager and S. Machlup, Phys. Rev. 91:1505 (1953); Phys. Rev. 91:1512 (1953).
4. 2. L. Onsager and S. Machlup, Phys. Rev. 91:1505 (1953); Phys. Rev. 91:1512 (1953).
5. 3. R. L. Stratonovich, Nonlinear Nonequilibrium Thermodynamics (Springer-Verlag, 1992).
6. 4. D. Gabrielli, G. Jona-Lasinio, and C. Landim, Onsager reciprocity relations without microscopic reversibility, Phys. Rev. Lett. 77:1202 (1996).
7. 5. G. Eyink, J. Lebowitz, and H. Spohn, Hydrodynamics and fluctuations outside of local equilibrium: Driven diffusive systems, J. Stat. Phys. 83:385 (1996).
8. 6. J. W. Dufty and J. M. Rubi, Generalized Onsager symmetry, Phys. Rev. A 36:222 (1987).
9. 7. D. Gabrielli, G. Jona-Lasinio, C. Landim, and M. E. Vares, in Microscopic Reversibility and Thermodynamics Fluctuations, C. Cercignani, G. Jona-Lasinio, G. Parisi, and L. A. Radicati di Brozolo, eds., Boltzmann's Legacy 150 Years After His Birth, Vol. 131 (1997) of Atti dei Convegni Licei. pp. 79-88. Accademia Nazionale dei Lincei, Roma.
10. 8. G. Jona-Lasinio, C. Landim, and M. E. Vares, Large deviations for a reaction diffusion model, Prob. Theory Rel. Fields 97:339 (1993).
11. 9. C. Landim, An overview of large deviations of the empirical measure of interacting particle systems, Ann. Inst. Henry Poincaré 55:615 (1991).
12. 10. G. Eyink, Dissipation and large thermodynamic fluctuations. J. Stat. Phys. 61:533 (1990).
13. 11. A. De Masi and E. Presutti, Mathematical Methods for Hydrodynamic Limits (LNM 1501, Springer-Verlag, 1991).
14. 12. C. Kipnis and C. Landim, Scaling Limit of Interacting Particle Systems (Springer-Verlag, Berlin, 1999).
15. 13. M. Z. Guo, G. C. Papanicolaou, and S. R. S. Varadhan, Nonlinear diffusion limit for a system with nearest neighbor interactions, Commun. Math. Phys. 118:31-59 (1988).
16. 14. C. Kipnis, S. Olla, and S. R. S. Varadhan, Hydrodynamics and large deviation for simple exclusion processes, Commun. Pure Appl. Math. 42:115 (1989).
17. 15. M. Donsker and S. R. S. Varadhan, Large deviations from a hydrodynamic scaling limit, Commun. Pure Appl. Math. 42:243 (1989).