Path-integral analysis of fluctuation theorems for general Langevin processes

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 8, 2006, Pages

  Chernyak, Vladimir Y ^a   Chertkov, Michael ^b,c   Jarzynski, Christopher ^b  

^a WAYNE STATE UNIVERSITY   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c CENTER FOR NONLINEAR STUDIES   (United States)

Author keywords

Driven diffusive systems (theory); Exact results; Rigorous results in statistical mechanics

Indexed keywords

EID: 42749108175     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/08/P08001     Document Type: Article

References (62)

1. Evans D J, Cohen E G D and Morris G P 1993 Phys. Rev. Lett. 71 2401
2. Evans D and Searles D 1994 Phys. Rev. E 50 1645
3. Gallavotti G and Cohen E G D 1995 Phys. Rev. Lett. 74 2694
4. Kurchan J 1998 J. Phys. A: Math. Gen. 31 3719
5. Lebowitz JL and Spohn H 1999 J. Stat. Phys. 95 333
6. Bochkov G N and Kuzovlev Yu E 1977 Zh. Eksp. Teor. Fiz. 72 238
7. Bochkov G N and Kuzovlev Yu E 1977 Sov. Phys.-JETP 45 125 (translation)
8. Jarzynski C 1997 Phys. Rev. Lett. 78 2690
9. Jarzynski C 1997 Phys. Rev. E 56 5018
10. Crooks GE 1998 J. Stat. Phys. 90 1481
11. Crooks GE 1999 Phys. Rev. E 60 2721
12. Hatano T 1999 Phys. Rev. E 60 R5017
13. Crooks GE 2000 Phys. Rev. E 61 2361
14. Hummer G and Szabo A 2001 Proc. Nat. Acad. Sci. 98 3658
15. Hatano T and Sasa S 2001 Phys. Rev. Lett. 86 3463
16. Maes C 2003 Sém. Poincaré 2 29
17. Maes C and Netocny K 2003 J. Stat. Phys. 110 269
18. Chernyak V, Chertkov M and Jarzynski C 2005 Phys. Rev. E 71 025102(R)
19. Seifert U 2005 Phys. Rev. Lett. 95 040602
20. Kurchan J 2005 Preprint cond-mat/0511073
21. Reid JC, Sevick EM and Evans DJ 2005 Europhys. Lett. 72 726
22. Speck T and Seifert U 2005 J. Phys. A: Math. Gen. 38 L581
23. Imparato A and Peliti L 2006 Preprint cond-mat/0603506
24. Maes C and van Wieren M H 2006 Phys. Rev. Lett. 96 240601
25. Evans D J and Searles D 2002 Adv. Phys. 51 1529
26. Ritort F 2003 Sém. Poincaré 2 193
27. Park S and Schulten K 2004 J. Chem. Phys. 120 5946
28. Bustamante C, Liphardt J and Ritort F 2005 Phys. Today 58 43
29. Speck T and Seifert U 2006 Europhys. Lett. 74 391
30. Norris JR 1997 Markov Chains (Cambridge: Cambridge University Press)
31. Kemeny JG, Snell JL and Knapp AW 1976 Denumerable Markov Chains 2nd edn (New York: Springer)
32. Onsager L and Machlup S 1953 Phys. Rev. 91 1505
33. Onsager L and Machlup S 1953 Phys. Rev. 91 1512
34. Wiegel FW 1986 Introduction to Path-Integral Methods in Physics and Polymer Science (Philadelphia, PA: World Scientific)
35. Bier M, Derényi I, Kostur M and Astumian RD 1999 Phys. Rev. E 59 6422
36. Fingerle A unpublished work
37. Oono Y and Paniconi M 1998 Prog. Theor. Phys. Suppl. 130 29
38. van Zon R and Cohen E G D 2003 Phys. Rev. E 67 046102
39. van Zon R and Cohen E G D 2003 Phys. Rev. Lett. 91 110601
40. Reid JC, Carberry DM, Wang GM, Sevick EM, Evans DJ and Searles DJ 2004 Phys. Rev. E 70 016111
41. Kim KH and Qian H 2004 Phys. Rev. Lett. 93 120602
42. Adjanor G and Athènes M 2005 J. Chem. Phys. 123 234104
43. Astumian RD 2006 Am. J. Phys. 74 683
44. Kim KH and Qian H 2006 Preprint physics/0601085
45. Liphardt J, Dumont S, Smith SB, Tinoco I and Bustamante C 2002 Science 296 1832
46. Collin D, Ritort F, Jarzynski C, Smith SB, Tinoco I and Bustamante C 2005 Nature 437 231
47. Harris N C, Song Y and Kiang C-H Direct reconstruction of the free energy surface for mechanical unfolding of proteins submitted for publication
48. Wang GM, Sevick EM, Mittag E, Searles DJ and Evans DJ 2002 Phys. Rev. Lett. 89 050601
49. Carberry DM, Reid JC, Wang GM, Sevick EM, Searles DJ and Evans DJ 2004 Phys. Rev. Lett. 92 140601
50. Trepagnier EH, Jarzynski C, Ritort F, Crooks GE, Bustamante CJ and Liphardt J 2004 Proc. Nat. Acad. Sci. 101 15038
51. Wang GM, Reid JC, Carberry DM, Williams DR, Sevick EM, Searles DJ and Evans DJ 2005 Phys. Rev. E 71 046141
52. Blickle V, Speck T, Helden L, Seifert U and Bechinger C 2006 Phys. Rev. Lett. 96 070603
53. Douarche F, Ciliberto S, Petrosyan A and Rabbiosi I 2005 Europhys. Lett. 70 593
54. Douarche F, Ciliberto S and Petrosyan A 2005 J. Stat. Mech. P09011
55. Smith DE, Babcock HP and Chu S 1999 Science 283 1724
56. Hur JS, Shaqfeh E and Larson RG 2000 J. Rheol. 44 713
57. Groisman A and Steinberg V 2000 Nature 405 53
58. Groisman A and Steinberg V 2001 Phys. Rev. Lett. 86 934
59. Groisman A and Steinberg V 2004 New J. Phys. 6 29
60. Balkovsky E, Fouxon A and Lebedev V 2000 Phys. Rev. Lett. 84 4765
61. Balkovsky E, Fouxon A and Lebedev V 2001 Phys. Rev. E 64 056301
62. Chertkov M 2000 Phys. Rev. Lett. 84 4761