Dynamical fluctuations for semi-Markov processes

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 36, 2009, Pages

  Maes, Christian ^a   Netočný, Karel ^b   Wynants, Bram ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b INSTITUTE OF PHYSICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449602567     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/36/365002     Document Type: Article

References (33)

1. Andrieux D and Gaspard P 2008 The fluctuation theorem for currents in semi-Markov processes J. Stat. Mech. P11007
2. Baiesi M, Maes C and Neton K 2009 Computation of current cumulants for small nonequilibrium systems J. Stat. Phys. 135 7-75
3. Bergmann P G and Lebowitz J L 1955 New approach to nonequilibrium processes Phys. Rev. 99 578-87
4. Lebowitz J L and Bergmann P G 1957 Irreversible Gibbsian ensembles Ann. Phys. 1 1
5. Lebowitz J L 1959 Stationary nonequilibrium Gibbsian ensembles Phys. Rev. 114 1192-202
6. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2002 Macroscopic fluctuation theory for stationary non-equilibrium states J. Stat. Phys. 107 635-75
7. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2006 Large deviation approach to non equilibrium processes in stochastic lattice gases Bull. Braz. Math. Soc. (N. S.) 37 611-43
8. Bianco S, Grigolini P and Paradisi P 2005 Fluorescence intermittency in blinking quantum dots: renewal or slow modulation J. Chem. Phys. 123 174704
9. Bodineau T and Derrida B 2007 Cumulants and large deviations of the current through non-equilibrium steady states C. R. Phys. 8 540-55
10. Chari M K 1994 On reversible semi-Markov processes Oper. Res. Lett. 15 157-61
11. Derrida B 2007 Non-equilibrium steady states: fluctuations and large deviations of the density and of the current J. Stat. Mech. P07023
12. Derrida B 2005 Fluctuations and large deviations in non-equilibrium systems Proc Conf. on Statphys 22 (Bangalore, July 2004) Pramana-J. Phys. 64 695-707
13. Dembo A and Zeitouni O 1993 Large Deviation Techniques and Applications (Boston, MA: Jones and Barlett Publishers)
14. Donsker M D and Varadhan S R 1975 Asymptotic evaluation of certain Markov process expectations for large time, I Commun. Pure Appl. Math. 28 1-47
15. Ellis R S 1985 Entropy, Large Deviations, and Statistical Mechanics (New York: Springer)
16. Esposito M and Lindenberg K 2008 Continuous time random walk for open systems: fluctuation theorems and counting statistics Phys. Rev. E 77 051119
17. Kubo R, Matsuo K and Kitahara K 1973 Fluctuation and relaxation of macrovariables J. Stat. Phys. 9 51-95
18. Kolomeisky A B and Fisher M E 2000 Extended kinetic models with waiting-time distributions: exact results J. Chem. Phys. 113 10867
19. Kurzynski M and Chelminiak P 2003 Mean first-passage time in the stochastic theory of biochemical processes. Application to actomyosin molecular motors J. Stat. Phys. 110 137-81
20. Lanford O E III 1973 Entropy and equilibrium states in classical statistical mechanics Statistical Mechanics and Mathematical Problems (Batelle Seattle Rencontres 1971) (Lecture Notes in Physics vol 20) (Berlin: Springer) pp 1-113
21. Maes C and Neton K 2008 The canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states Europhys. Lett. 82 30003
22. Maes C and Neton K 2003 Time-reversal and entropy J. Stat. Phys. 110 269-310
23. Maes C and Neton K 2007 Static and dynamical nonequilibrium fluctuations C. R. Phys. 8 591-7
24. Maes C, Neton K and Wynants B 2008 On and beyond entropy production: the case of Markov jump processes Markov Proc. Rel. Fields 14 445-64
25. Maes C, Neton K and Wynants B 2008 Steady state statistics of driven diffusions Physica A 387 2675-89
26. Martin-Löf A 1979 Statistical Mechanics and the Foundations of Thermodynamics (Lecture Notes in Physics vol 101) (Berlin: Springer)
27. Montroll E W and Weiss G H 1965 J. Math. Phys. 6 167
28. Montroll E W and Shlesinger M F 1984 Studies in Statistical Mechanics vol l. XI ed J L Lebowitz and E W Montroll (Amsterdam: North-Holland) pp 5-121
29. Mott N F and Davis E A 1979 Electronic Processes in Non-Crystalline Solids 2nd edn (Oxford: Clarendon)
30. Onsager L and Machlup S 1953 Fluctuations and irreversible processes Phys. Rev. 91 1505
31. Qian H and Wang H 2006 Continuous time random walks in closed and open single-molecule systems with microscopic reversibility Europhys. Lett. 76 15-21
32. Varadhan S R S 2003 Large deviations and entropy Entropy ed A Greven, G Keller and G Warnecke (Princeton, NJ: Princeton University Press)
33. Wang H and Qian H 2007 On detailed balance and reversibility of semi-Markov processes and single-molecule enzyme kinetics J. Math. Phys. 48 013303