On the range of validity of the fluctuation theorem for stochastic Markovian dynamics

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2008, Issue 5, 2008, Pages

  Rakos A ^a,b   Harris, R J ^c,d  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^c SAARLAND UNIVERSITY   (Germany)

^d QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Current fluctuations; Large deviations in non equilibrium systems; Nonequilibrium fluctuations in small systems; Zero range processes

Indexed keywords

EID: 44949257118     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/05/P05005     Document Type: Article

References (47)

1. Evans D J and Searles D J 2002 The fluctuation theorem Adv. Phys. 51 1529
2. Ritort F 2003 Work fluctuations, transient violations of the second law and free-energy recovery methods: perspectives in theory and experiments Sém. Poincaré 2 195
3. Kurchan J 2007 Non-equilibrium work relations J. Stat. Mech. P07005
4. Harris R J and Schütz G M 2007 Fluctuation theorems for stochastic dynamics J. Stat. Mech. P07020
5. Evans D J, Cohen E G D and Morriss G P 1993 Probability of second law violations in shearing steady states Phys. Rev. Lett. 71 2401
6. Gallavotti G and Cohen E G D 1995 Dynamical ensembles in nonequilibrium statistical mechanics Phys. Rev. Lett. 74 2694
7. Gallavotti G and Cohen E G D 1995 Dynamical ensembles in stationary states J. Stat. Phys. 80 931
8. Kurchan J 1998 Fluctuation theorem for stochastic dynamics J. Phys. A: Math. Gen. 31 3719
9. Lebowitz J L and Spohn H 1999 A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamic J. Stat. Phys. 95 333
10. Kurchan J 2007 Gallavotti-Cohen theorem, chaotic hypothesis and the zero-noise limit J. Stat. Phys. 128 1307
11. Narayan O and Dhar A 2004 Reexamination of experimental tests of the fluctuation theorem J. Phys. A: Math. Gen. 37 63
12. Zamponi F 2007 Is it possible to experimentally verify the fluctuation relation? A review of theoretical motivations and numerical evidence J. Stat. Mech. P02008
13. Schuler S, Speck T, Tietz C, Wrachtrup J and Seifert U 2005 Experimental test of the fluctuation theorem for a driven two-level system with time-dependent rates Phys. Rev. Lett. 94 180602
14. Tietz C, Schuler S, Speck T, Seifert U and Wrachtrup J 2006 Measurement of stochastic entropy production Phys. Rev. Lett. 97 050602
15. van Zon R and Cohen E G D 2003 Extension of the fluctuation theorem Phys. Rev. Lett. 91 110601
16. Garnier N and Ciliberto S 2005 Nonequilibrium fluctuations in a resistor Phys. Rev. E 71 060101(R)
17. Dolowschiák M and Kovács Z 2005 Fluctuation formula in the Nosé-Hoover thermostated Lorentz gas Phys. Rev. E 71 025202(R)
18. Bonetto F, Gallavotti G, Giuliani A and Zamponi F 2006 Chaotic hypothesis, fluctuation theorem and singularities J. Stat. Phys. 123 39
19. Harris R J, Rákos A and Schütz G M 2006 Breakdown of Gallavotti-Cohen symmetry for stochastic dynamics Europhys. Lett. 75 227
20. Puglisi A, Rondoni L and Vulpiani A 2006 Relevance of initial and final conditions for the fluctuation relation in Markov processes J. Stat. Mech. P08010
21. Visco P 2006 Work fluctuations for a Brownian particle between two thermostats J. Stat. Mech. P06006
22. van Zon R and Cohen E G D 2004 Extended heat-fluctuation theorems for a system with deterministic and stochastic forces Phys. Rev. E 69 056121
23. Farago J 2002 Injected power fluctuations in Langevin equation J. Stat. Phys. 107 781
24. Baiesi M, Jacobs T, Maes C and Skantzos N S 2006 Fluctuation symmetries for work and heat Phys. Rev. E 69 021111
25. Giardiná C, Kurchan J and Peliti L 2006 Direct evaluation of large-deviation functions Phys. Rev. Lett. 96 120603
26. Taniguchi T and Cohen E G D 2007 Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems J. Stat. Phys. 126 1
27. Schütz G M 2001 Exactly solvable models for many-body systems far from equilibrium Phase Transitions and Critical Phenomena vol 19 ed C Domb and J Lebowitz (London: Academic)
28. Evans D J and Searles D J 1994 Equilibrium microstates which generate second law violating steady states Phys. Rev. E 50 1645
29. Searles D J and Evans D J 1999 Fluctuation theorem for stochastic systems Phys. Rev. E 60 159
30. Spitzer F 1970 Interaction of Markov processes Adv. Math. 5 246
31. Evans M R and Hanney T 2005 Nonequilibrium statistical mechanics of the zero-range process and related models J. Phys. A: Math. Gen. 38 R195
32. Evans M R 2000 Phase transitions in one-dimensional nonequilibrium systems Braz. J. Phys. 30 42
33. Jeon I, March P and Pittel B 2000 Size of the largest cluster under zero-range invariant measures Ann. Probab. 28 1162
34. Shim G M, Park B Y, Noh J D and Lee H 2004 Analytic study of the three-urn model for separation of sand Phys. Rev. E 70 031305
35. Levine E, Mukamel D and Schütz G M 2005 Zero-range process with open boundaries J. Stat. Phys. 120 759
36. Harris R J, Rákos A and Schütz G M 2005 Current fluctuations in the zero-range process with open boundaries J. Stat. Mech. P08003
37. Bodineau T and Derrida B 2004 Current fluctuations in non-equilibrium diffusive systems: an additivity principle Phys. Rev. Lett. 92 180601
38. van Wijland F and Rácz Z 2005 Large deviations in weakly interacting boundary driven lattice gases J. Stat. Phys. 118 27
39. Juhász R, Santen L and Iglói F 2005 Partially asymmetric zero-range process with quenched disorder Phys. Rev. E 72 046129
40. Dembo A and Zeitouni O 1998 Large Deviation Techniques and Applications (Berlin: Springer)
41. Oono Y 1989 Large deviation and statistical physics Prog. Theor. Phys. 99 165
42. Touchette H 2008 The large deviation approach to statistical mechanics Preprint 0804.0327
43. Lecomte V, Appert-Rolland C and van Wijland F 2007 Thermodynamic formalism for systems with Markov dynamics J. Stat. Phys. 127 51
44. Lecomte V and Tailleur J 2007 A numerical approach to large deviations in continuous time J. Stat. Mech. P03004
45. Pulkkinen O 2007 Boundary driven zero-range processes in random media J. Stat. Phys. 128 1289
46. Derrida B, Douçot B and Roche P-E 2004 Current fluctuations in the one-dimensional symmetric exclusion process with open boundaries J. Stat. Phys. 115 717
47. Touchette H and Cohen E G D 2007 Fluctuation relation for a Lévy particle Phys. Rev. E 76 020101(R)