Generalized Clausius relation and power dissipation in nonequilibrium stochastic systems

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

Volumn 79, Issue 1, 2009, Pages

  Gaveau, B ^a   Moreau, M ^b   Schulman, L S ^c  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^c CLARKSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; RANDOM PROCESSES;

MARKOV SYSTEMS; NON EQUILIBRIUMS; ORDER OF MAGNITUDES; OUT OF EQUILIBRIUMS; POWER DISSIPATIONS; POWER PRODUCTIONS; STATIONARY STATE; STOCHASTIC DYNAMICS;

STOCHASTIC SYSTEMS;

EID: 60449118140     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.010102     Document Type: Article

References (41)

1. L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd ed. (Pergamon Press, Oxford, 1980).
2. S. R. de Groot and P. Mazur, Non-equilibrium Thermodynamics (Springer, Berlin, 1984).
3. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977).
4. G. Uhlenbeck and G. Ford, Lectures in Statistical Mechanics (AMS, Providence, RI, 1963).
5. R. Kubo, M. Toda, and N. Hashitume, Statistical Physics II. Nonequilibrium Statistical Mechanics (Springer, Berlin, 1992).
6. G. Gallavotti and E. G. D. Cohen, Phys. Rev. Lett. 74, 2694 (1995); 10.1103/PhysRevLett.74.2694
7. G. Gallavotti and E. G. D. Cohen, J. Stat. Phys. 80, 931 (1995). 10.1007/BF02179860
8. C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997); 10.1103/PhysRevLett.78. 2690
9. C. Jarzynski, Phys. Rev. E 56, 5018 (1997); 10.1103/PhysRevE.56.5018
10. C. Jarzynski, Phys. Rev. E 73, 046105 (2006). 10.1103/PhysRevE.73.046105
11. E. G. D. Cohen and D. Mauzerall, J. Stat. Mech.: Theory Exp. (2004) P07006. 10.1088/1742-5468/2004/07/P07006
12. B. Palmieri and D. Ronis, Phys. Rev. E 75, 011133 (2007). 10.1103/PhysRevE.75.011133
13. J. Kurchan, J. Phys. A 31, 3719 (1998). 10.1088/0305-4470/31/16/003
14. H. Qian, J. Phys.: Condens. Matter 17, S3783 (2005); 10.1088/0953-8984/ 17/47/010
15. H. Qian, Phys. Rev. E 65, 016102 (2001); 10.1103/PhysRevE.65.016102
16. K. H. Kim and H. Qian, Phys. Rev. Lett. 93, 120602 (2004); 10.1103/PhysRevLett.93.120602
17. H. Wang and H. Qian, J. Math. Phys. 48, 013303 (2007); 10.1063/1.2432065
18. H. Qian and H. Wang, Europhys. Lett. 76, 15 (2006). 10.1209/epl/i2006- 10239-9
19. B. Derrida, P. Gaspard, and C. V. den Broek, C. R. Phys. 8, 483 (2007). 10.1016/j.crhy.2007.05.018
20. C. Maes, in Proceedings of the Les Houches Summer School of Theoretical Physics LXXXIII, 2005, Course 13, edited by, A. Bovier, (Elsevier, Amsterdam, 2006).
21. C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005). 10.1103/PhysRevLett.95.190602
22. U. Seifert, Phys. Rev. Lett. 95, 040602 (2005); 10.1103/PhysRevLett.95. 040602
23. T. Schmiedl and U. Seifert, Eur. Phys. J. B 64, 423 (2008); 10.1140/epjb/e2008-00001-9
24. U. Seifert, Eur. Phys. J. B 64, 423 (2008). 10.1140/epjb/e2008-00001-9
25. J. Schnakenberg, Rev. Mod. Phys. 48, 571 (1976). 10.1103/RevModPhys.48. 571
26. B. Gaveau, M. Moreau, and J. Toth, J. Chem. Phys. 111, 7736 (1999); 10.1063/1.480110
27. B. Gaveau, M. Moreau, and J. Toth, J. Chem. Phys. 111, 7748 (1999); 10.1063/1.480162
28. B. Gaveau, M. Moreau, and J. Toth, J. Chem. Phys. 115, 680 (2001). 10.1063/1.1375137
29. B. Gaveau and L. S. Schulman, J. Math. Phys. 37, 3897 (1996); 10.1063/1.531608
30. B. Gaveau and L. S. Schulman, J. Stat. Phys. 110, 1317 (2003); 10.1023/A:1022165431214
31. B. Gaveau and L. S. Schulman, Phys. Rev. E 73, 036124 (2006). 10.1103/PhysRevE.73.036124
32. D. Andrieux and P. Gaspard, J. Stat. Phys. 127, 107 (2007). 10.1007/s10955-006-9233-5
33. B. Gaveau, M. Moreau, and L. S. Schulman, Phys. Lett. A 372, 3415 (2008). 10.1016/j.physleta.2008.01.081
34. T. S. Komatsu, N. Nakagawa, S. I. Sasa, and H. Tasaki, Phys. Rev. Lett. 100, 230602 (2008). 10.1103/PhysRevLett.100.230602
35. D. Andrieux, P. Gaspard, S. Ciliberto, N. Garnier, S. Joubaud, and A. Petrosyan, Phys. Rev. Lett. 98, 150601 (2007). 10.1103/PhysRevLett.98.150601
36. R. Kawai, J. M. R. Parrondo, and C. Van den Broeck, Phys. Rev. Lett. 98, 080602 (2007). 10.1103/PhysRevLett.98.080602
37. T. Shibata, e-print arXiv:cond-mat/0012404.
38. W. Muschik and S. Gümbel, J. Non-Equil. Thermodyn. 24, 97 (1999). 10.1515/JNETDY.1999.005
39. T. Hatano and S. I. Sasa, Phys. Rev. Lett. 86, 3463 (2001). 10.1103/PhysRevLett.86.3463
40. B. Gaveau and L. S. Schulman, Phys. Rev. E (to be published).
41. V. Barger and M. Olsson, Classical Mechanics: A Modern Perspective, 2nd ed. (McGraw-Hill, New York, 1995), Problem 4.1.