Onsager-machlup theory for nonequilibrium steady states and fluctuation theorems

Journal of Statistical Physics

Volumn 126, Issue 1, 2007, Pages 1-41

  Taniguchi, Tooru ^a   Cohen, E G D ^a  

^a ROCKEFELLER UNIVERSITY   (United States)

Author keywords

Fluctuation theorems; Functional integration; Inertial effects; Nonequilibrium detailed balance; Nonequilibrium Onsager Machlup theory; Nonequilibrium steady state thermodynamics

Indexed keywords

EID: 33846477986     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9252-2     Document Type: Article

References (64)

1. A. Einstein, Ann. Physik 17:549 (1905).
2. J. B. Johnson, Phys. Rev. 32:97 (1928).
3. H. Nyquist, Phys. Rev. 32:110 (1928).
4. L. Onsager, Phys. Rev. 37:405 (1931).
5. L. Onsager, Phys. Rev. 38:2265 (1931).
6. H. B. G. Casimir, Rev. Mod Phys. 17:343 (1945).
7. M. S. Green, J. Chem. Phys. 19:1036 (1951).
8. H. B. Callen and T. A. Welton Phys. Rev. 83:34 (1951).
9. R. Kubo, J. Phys. Soc. Jap. 12:570 (1957).
10. N. Hashitsume, Prog. Theor. Phys. 8:461 (1952).
11. L. Onsager and S. Maohlup, Phys. Rev. 91:1505 (1953).
12. S. Machlup and L. Onsager, Phys. Rev. 91:1512 (1953).
13. H. Hasegawa, Prog. Theor. Phys. 56:44 (1976).
14. H. Hasegawa, Prog. Theor. Phys. 58:128 (1977).
15. K. Yasue, J. Math. Phys. 19:1671 (1978).
16. K. L. C. Hunt and J. Ross, J. Chem. Phys. 75:976 (1981).
17. H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications (Springer-Verlag Berlin, 1989).
18. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio and C. Landim, Phys. Rev. Lett. 87:040601 (2001).
19. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio and C. Landim, J. Stat. Phys. 107:635 (2002).
20. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio and C. Landim, J. Stat. Phys. 123:237 (2006).
21. G. Gallavotti, Ann. Inst. Henri Poincaré 70:429 (1999).
22. G. Gallavotti, Mathematical Physics 2000 (Imperial Colledge Press, London, 2000), p. 48.
23. G. Gallavotti, cond-mat/0606690; ibid, in Foundations of Fluid Mechanics (Springer-Verlag, Berlin, 2002), Section 7.3.4.
24. D. J. Evans, E. G. D. Cohen and G. P. Morriss, Phys. Rev. Lett. 71:2401 (1993);
25. 71:3616 (1993) [errata].
26. D. J. Evans and D. J. Searles, Phys. Rev. E 50:1645 (1994).
27. G. Gallavotti and E. G. D. Cohen, Phys. Rev. Lett. 74:2694 (1995);
28. J. Stat. Phys. 80:931 (1995).
29. J. Kurchan, J. Phys. A: Math. Gen. 31:3719 (1998).
30. J. L. Lebowitz and H. Spohn, J. Stat. Phys. 95:333 (1999).
31. G. E. Crooks, Phys. Rev. E 60:2721 (1999).
32. G. E. Crooks, Phys. Rev. E 61:2361 (2000).
33. S. Ciliberto and C. Laroche, J. Phys. IV France 8:215 (1998).
34. G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles and D. J. Evans, Phys. Rev. Lett. 89:050601 (2002).
35. S. Ciliberto, N. Gamier, S. Hernandez, C. Lacpatia, J.-F. Pinton, G. R. Chavarria, Physica A 340:240 (2004).
36. K. Feitosa and N. Menon, Phys. Rev. Lett. 92:164301 (2004).
37. N. Garnier and S. Ciliberto, Phys. Rev. E 71:060101R (2005).
38. S. Schuler, T. Speck, C. Tietz, J. Wrachtrup and U. Seifert, Phys. Rev. Lett. 94:180602 (2005).
39. G. Gallavotti, Phys. Rev. Lett. 77:4334 (1996);
40. G. Gallavotti and D. Ruelle, Commun. Math. Phys. 190:279 (1997).
41. R. van Zon and E. G. D. Cohen, Phys. Rev. Lett. 91:110601 (2003).
42. R. van Zon and E. G. D. Cohen, Phys. Rev. E 69:056121 (2004).
43. K. Sekimoto, Prog. Theor. Phys. Suppl. 130:17 (1998).
44. O. Mazonka and C. Jarzynski, e-print cond-mat/9912121.
45. S. Tasaki, I. Terasaki and T. Monnai, e-print cond-mat/0208154.
46. R. van Zon and E. G. D. Cohen, Phys. Rev. E 67:046102 (2003).
47. R. van Zon, S. Ciliberto and E. G. D. Cohen, Phys. Rev. Lett. 92:130601 (2004).
48. T. Taniguchi and G. P. Morriss, Phys. Rev. E 70:056124 (2004).
49. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier, Amsterdam, 1992).
50. L. Tisza and I. Manning, Phys. Rev. 105:1695 (1957).
51. L. D. Landau and E. M. Lifshitz, Mechanics, translated from the Russian by J. B. Sykes and J. S. Bell (Pergamon Press, Oxford, 1960).
52. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
53. L. D. Landau and E. M. Lifshitz, Statistical Physics, translated from the Russian by E. Peierls and R. F. Peierls (Pergamon Press, London, 1958) Chapter XII.
54. D. J. Evans and D. J. Searles, Adv. Phys. 51:1529 (2002).
55. E. G. D. Cohen and G. Gallavotti, J. Stat. Phys. 96:1343 (1999).
56. J. C. Reid, D. M. Carberry, G. M. Wang, E. M. Sevick, and D. J. Evans, Phys. Rev. E 70:016111 (2004).
57. F. Bonetto, G. Gallavotti, A. Giuliani, and F. Zamponi, J. Stat. Phys. 123:39 (2006).
58. T. Gilbert, Phys. Rev. E 73:035102R (2006).
59. M. Baiesi, T. Jacobs, C. Maes and N. S. Skantzos, Phys. Rev. £74:021111 (2006).
60. V. Y. Chernyak, M. Chertkov, and C. Jarzynski, J. Stat. Mech. 8:08001 (2006).
61. O. Narayan and A. Dhar, J. Phys. A: Math. Gen. 37:63 (2004).
62. K. Kitahara, private communication.
63. A. Imparato and L. Peliti, Phys. Rev. E 74:026106 (2006).
64. K. Kawasaki and B. Kim, J. Stat. Phys. 109:591 (2002).