Time-reversal symmetry relations for fluctuating currents in nonequilibrium systems

Acta Physica Polonica B

Volumn 44, Issue 5, 2013, Pages 815-845

  Gaspard, Pierre ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT FLUCTUATIONS; FLUCTUATING CURRENT; FLUCTUATION RELATIONS; NON-INTERACTING PARTICLES; NONEQUILIBRIUM CONDITIONS; NONEQUILIBRIUM SYSTEM; PARTICLE CURRENTS; TIME REVERSAL SYMMETRIES;

BOLTZMANN EQUATION; RANDOM PROCESSES;

SYSTEMS ANALYSIS;

EID: 84879590147     PISSN: 05874254     EISSN: None     Source Type: Journal    
DOI: 10.5506/APhysPolB.44.815     Document Type: Article

References (59)

1. D.J. Evans, E.G.D. Cohen, G.P. Morriss, Phys. Rev. Lett. 71, 2401 (1993).
2. G. Gallavotti, E.G.D. Cohen, Phys. Rev. Lett. 74, 2694 (1995).
3. J. Kurchan, J. Phys. A: Math. Gen. 31, 3719 (1998).
4. J.L. Lebowitz, H. Spohn, J. Stat. Phys. 95, 333 (1999).
5. C. Maes, J. Stat. Phys. 95, 367 (1999).
6. U. Seifert, Rep. Prog. Phys. 75, 126001 (2012).
7. C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997).
8. G.E. Crooks, J. Stat. Phys. 90, 1481 (1998).
9. G.E. Crooks, Phys. Rev. E 60, 2721 (1999).
10. C. Jarzynski, J. Stat. Phys. 98, 77 (2000).
11. D. Andrieux, P. Gaspard, J. Chem. Phys. 121, 6167 (2004).
12. D. Andrieux, P. Gaspard, J. Stat. Mech.: Theory Exp. 1, P01011 (2006).
13. D. Andrieux, P. Gaspard, J. Stat. Phys. 127, 107 (2007).
14. D. Andrieux, P. Gaspard, J. Stat. Mech.: Theory Exp. 2, P02006 (2007).
15. M. Esposito, U. Harbola, S. Mukamel, Rev. Mod. Phys. 81, 1665 (2009).
16. P. Gaspard, in: G. Radons, B. Rumpf, H.G. Schuster, Eds., Nonlinear Dynamics of Nanosystems, Wiley-VCH, Weinheim 2010, pp. 1-74.
17. M. Campisi, P. Hänggi, P. Talkner, Rev. Mod. Phys. 83, 771 (2011).
18. P. Gaspard, Adv. Chem. Phys. 135, 83 (2007).
19. P. Gaspard, D. Andrieux, Bussei Kenkyu 97, 377 (2011).
20. D. Lacoste, K. Mallick, Phys. Rev. E 80, 021923 (2009).
21. G. Nicolis, J. Stat. Phys. 6, 195 (1972).
22. N. Wax, Selected Papers on Noise and Stochastic Processes, Dover, New York 1954.
23. R.M. Mazo, Brownian Motion, Clarendon Press, Oxford 2002.
24. T. De Donder, P. Van Rysselberghe, Affinity, Stanford University Press, Menlo Park CA, 1936.
25. I. Prigogine, Introduction to Thermodynamics of Irreversible Processes, Wiley, New York 1967.
26. H.B. Callen, Thermodynamics and an Introduction to Thermostatistics, Wiley, New York 1985.
27. H. Touchette, Phys. Rep. 478, 1 (2009).
28. L. Onsager, Phys. Rev. 37, 405 (1931).
29. B. Cleuren, C. Van den Broeck, R. Kawai, Phys. Rev. E74, 021117 (2006).
30. P. Gaspard, D. Andrieux, J. Stat. Mech.: Theory Exp. 3, P03024 (2011).
31. J. Schnakenberg, Rev. Mod. Phys. 48, 571 (1976).
32. I.P. Cornfeld, S.V. Fomin, Ya.G. Sinai, Ergodic Theory, Springer-Verlag, New York 1982.
33. P. Gaspard, Chaos, Scattering and Statistical Mechanics, Cambridge University Press, Cambridge UK, 1998.
34. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, Dover, New York 1972.
35. J.L. Lebowitz, E. Rubin, Phys. Rev. 131, 2381 (1963).
36. P. Résibois, H.T. Davis, Physica 30, 1077 (1964).
37. P. Résibois, J.L. Lebowitz, Phys. Rev. 139, A1101 (1965).
38. A.J.F. Siegert, Phys. Rev. 76, 1708 (1949).
39. M. Bixon, R. Zwanzig, Phys. Rev. 187, 267 (1969).
40. R.F. Fox, G.E. Uhlenbeck, Phys. Fluids 13, 2881 (1970);
41. Phys. Fluids 13, 1893 (1970).
42. N.G. van Kampen, Phys. Lett. A 50, 237 (1974).
43. J. Logan, M. Kac, Phys. Rev. A 13, 458 (1976).
44. A. Onuki, J. Stat. Phys. 18, 475 (1978).
45. M.H. Ernst, E.G.D. Cohen, J. Stat. Phys. 25, 153 (1981).
46. L. Brenig, C. Van den Broeck, Phys. Rev. A 21, 1039 (1980).
47. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, North-Holland, Amsterdam 1981.
48. C.W. Gardiner, Handbook of Stochastic Methods, 3rd edition, Springer, Berlin 2004.
49. J.M. Ortiz de Zárate, J.V. Sengers, Hydrodynamic Fluctuations in Fluids and Fluid Mixtures, Elsevier, Amsterdam 2006.
50. P. Gaspard, Physica A 392, 639 (2013).
51. C. Cercignani, Rarefied Gas Dynamics, Cambridge University Press, Cambridge 2000.
52. K. Huang, Statistical Mechanics, 2nd edition, Wiley, New York 1987.
53. H.J. Kreuzer, Z.W. Gortel, Physisorption Kinetics, Springer, Berlin 1986.
54. P. Gaspard, Phys. Scr. 86, 058504 (2012).
55. P. Gaspard, J. Stat. Mech.: Theory Exp. 8, P08021 (2012).
56. P. Gaspard, J. Stat. Phys. 117, 599 (2004).
57. D. Andrieux, P. Gaspard, Phys. Rev. Lett. 100, 230404 (2008).
58. D. Andrieux, P. Gaspard, T. Monnai, S. Tasaki, New J. Phys. 11, 043014 (2009) [Erratum ibid. 11, 109802 (2009)].
59. B. Küng et al., Phys. Rev. X2, 011001 (2012).