Fluctuation relations for diffusion that is thermally driven by a nonstationary bath

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

Volumn 80, Issue 5, 2009, Pages

  Chetrite, Raphaël ^a,b  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL EVOLUTION; ENTROPY PRODUCTION; FLUCTUATION DISSIPATION THEOREM; FLUCTUATION RELATIONS; MARKOVIAN; NON-EQUILIBRIUM DIFFUSION; NONSTATIONARY; THERMAL BATH; THERMALLY DRIVEN;

EID: 71049132771     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.051107     Document Type: Article

References (59)

1. R. Kubo, Rep. Prog. Phys. 29, 255 (1966). 10.1088/0034-4885/29/1/306
2. U. Marini Bettolo Marconi, A. Puglisi, L. Rondoni, and A. Vulpiani, Phys. Rep. 461, 111 (2008). 10.1016/j.physrep.2008.02.002
3. D. J. Evans and D. J. Searles, Phys. Rev. E 50, 1645 (1994). 10.1103/PhysRevE.50.1645
4. C. Jarzynski, J. Stat. Phys. 98, 77 (2000). 10.1023/A:1018670721277
5. G. Gallavotti and E. G. D. Cohen, J. Stat. Phys. 80, 931 (1995). 10.1007/BF02179860
6. G. E. Crooks, Phys. Rev. E 61, 2361 (2000). 10.1103/PhysRevE.61.2361
7. U. Seifert, Eur. Phys. J. B 64, 423 (2008). 10.1140/epjb/e2008-00001-9
8. R. Chetrite and K. Gawedzki, Commun. Math. Phys. 282, 469 (2008). 10.1007/s00220-008-0502-9
9. J. Lebowitz and H. Spohn, J. Stat. Phys. 95, 333 (1999). 10.1023/A:1004589714161
10. M. Esposito, U. Harbola, and S. Mukamel, Phys. Rev. E 76, 031132 (2007). 10.1103/PhysRevE.76.031132 (Pubitemid 47507690)
11. F. Ritort, e-print arXiv:0705.0455, Adv. Chem. Phys. (to be published).
12. J. Blum, Phys. Rev. Lett. 85, 2426 (2000). 10.1103/PhysRevLett.85.2426
13. M. Ausloos and R. Lambiotte, Phys. Rev. E 73, 011105 (2006). 10.1103/PhysRevE.73.011105 (Pubitemid 43254303)
14. P. Grunberg, R. Schreiber, Y. Pang, M. B. Brodsky, and H. Sowers, Phys. Rev. Lett. 57, 2442 (1986). 10.1103/PhysRevLett.57.2442
15. P. Reimann, R. Bartussek, R. Haussler, and P. Hanggi, Phys. Lett. A 215, 26 (1996). 10.1016/0375-9601(96)00222-8
16. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer-Verlag, Berlin, 2004).
17. S. I. Denisov, A. N. Vitrenko, W. Horsthemke, and P. Hanggi, Phys. Rev. E 73, 036120 (2006). 10.1103/PhysRevE.73.036120
18. A. N. Vitrenko, Physica A 359, 65 (2006). 10.1016/j.physa.2005.04.036 (Pubitemid 41526239)
19. R. Hernandez and F. L. Somer, J. Phys. Chem. B 103, 1064 (1999). 10.1021/jp983625g
20. N. Pottier, Physica A 345, 472 (2005).
21. A. Popov and R. Hernadez, J. Chem. Phys. 126, 2445061 (2007).
22. I. Santamaria-Holek, A. Pérez-Madrid, and J. M. Rubi, J. Chem. Phys. 120, 2818 (2004). 10.1063/1.1640346
23. A. Pérez-Madrid, Phys. Rev. E 69, 062102 (2004). 10.1103/PhysRevE.69.062102
24. R. Chetrite and K. Gawedzki, J. Stat. Phys. 10.1007/s10955-009-9803-4 (2009).
25. H. Risken, The Fokker Planck Equation, 2nd ed. (Springer, Berlin, 1989).
26. Yu. K. Klimontovich, Physica A 163, 515 (1990). 10.1016/0378-4371(90) 90142-F
27. Yu. K. Klimontovich, Phys. Usp. 37, 737 (1994). 10.1070/ PU1994v037n08ABEH000038
28. W. Ebeling, J. Dunkel, U. Erdmann, and S. Trigger, J. Phys.: Conf. Ser. 11, 89 (2005). 10.1088/1742-6596/11/1/009 (Pubitemid 41016588)
29. J. L. Garcia-Palacios, Adv. Chem. Phys. 112, 1 (2000). 10.1002/9780470141717.ch1
30. J. W. Rayleigh, The Theory of Sound (Dover, New York, 1945).
31. D. Stroock and S. R. S. Varadhan, Multidimensional Diffusion Processes (Springer, Berlin, 1979).
32. R. Chetrite and G. Falkovich, J. Stat. Mech.: Theory Exp. 2008, P08005. 10.1088/1742-5468/2008/08/P08005
33. J. Kurchan, J. Phys. A 31, 3719 (1998). 10.1088/0305-4470/31/16/003 (Pubitemid 128059972)
34. T. Speck and U. Seifert, J. Phys. A 38, L581 (2005). 10.1088/0305-4470/ 38/34/L03 (Pubitemid 41168980)
35. V. Chernyak, M. Chertkov, and C. Jarzynski, J. Stat. Mech.: Theory Exp. 2006, P08001. 10.1088/1742-5468/2006/08/P08001
36. J. Azema, Ann. Sci. Ec. Normale Super. 6, 459 (1973).
37. A. Millet, D. Nualart, and M. Sanz, Ann. Probab. 17, 208 (1989). 10.1214/aop/1176991505
38. H. Follmer, Stochastic Differential Equation, Lecture Notes in Control and Information Science Vol. 69 (Springer, Berlin, 1985), pp. 156-163.
39. F. Petit, Stochastic Proc. Appl. 69, 25 (1997). 10.1016/S0304-4149(97) 00035-5
40. E. Nelson, Dynamical Theories of Brownian Motion, 2nd ed. (Princeton University Press, Princeton, NJ, 2001).
41. T. Hatano and S. I. Sasa, Phys. Rev. Lett. 86, 3463 (2001). 10.1103/PhysRevLett.86.3463 (Pubitemid 32416153)
42. H. Ge and D. Q. Jiang, J. Stat. Phys. 131, 675 (2008). 10.1007/s10955-008-9520-4
43. F. Liu and Z. Ou-Yang, e-print arXiv:0902.3330.
44. R. Van Zon, and E. G. D. Cohen, e-print arXiv:cond-mat/0210505.
45. O. Mazonka and C. Jarzynski, e-print arXiv:cond-mat/9912121.
46. M. Baiesi, C. Maes, and B. Wynants, Phys. Rev. Lett. 103, 010602 (2009). 10.1103/PhysRevLett.103.010602
47. G. Gallavotti, Phys. Rev. Lett. 77, 4334 (1996). 10.1103/PhysRevLett.77. 4334
48. J. R. Gomez-Solano, A. Petrosyan, S. Ciliberto, R. Chetrite, and K. Gawedzki, Phys. Rev. Lett. 103, 040601 (2009). 10.1103/PhysRevLett.103.040601
49. U. Seifert and T. Speck, e-print arXiv:0907.5478.
50. L. F. Cugliandolo, J. Kurchan, and G. Parisi, J. Phys. I 4, 1641 (1994). 10.1051/jp1:1994212
51. M. F. Zimmer, J. Stat. Phys. 73, 751 (1993). 10.1007/BF01054348
52. L. F. Cugliandolo, J. Kurchan, and L. Peliti, Phys. Rev. E 55, 3898 (1997). 10.1103/PhysRevE.55.3898
53. A. Crisanti and J. Ritort, J. Phys. A 36, R181 (2003). 10.1088/0305-4470/36/21/201
54. P. Mayer, S. Léonard, L. Berthier, J. P. Garrahan, and P. Sollich, Phys. Rev. Lett. 96, 030602 (2006). 10.1103/PhysRevLett.96.030602 (Pubitemid 43248086)
55. N. G. Van Kampen, IBM J. Res. Dev. 32, 107 (1988).
56. R. Landauer, Phys. Lett. 68A, 15 (1978). 10.1016/0375-9601(78)90742-9
57. R. Rozenfeld, J. Luczka, and P. Talkner, Phys. Lett. A 249, 409 (1998). 10.1016/S0375-9601(98)00823-8
58. J. Luczka, P. Talkner, and P. Hanggi, Physica A 278, 18 (2000). 10.1016/S0378-4371(99)00574-9 (Pubitemid 30581787)
59. P. Talkner and J. Luczka, Brownian Motion in a d -Dimensionnal Space with Fluctuating Friction, Lecture Notes in Physics Vol. 557 (Springer, Berlin, 2000), pp. 85-96.