Extended forms of the second law for general time-dependent stochastic processes

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

Volumn 80, Issue 2, 2009, Pages

  Ge, Hao ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL THERMODYNAMICS; ENGINEERING DEVICES; EQUATION MODELS; EXTENDED FORM; FINAL STATE; LANGEVIN DYNAMICS; NATURAL PROCESS; NON-EQUILIBRIUM STATIONARY STATE; PHYSICAL SYSTEMS; SECOND LAW; SECOND LAW OF THERMODYNAMICS; STATIONARITY; STOCHASTIC PROCESS; THERMODYNAMIC PROCESS; TIME-DEPENDENT;

RANDOM PROCESSES; STOCHASTIC MODELS;

THERMODYNAMICS;

EID: 70349479764     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.021137     Document Type: Article

References (48)

1. H. Haken, Synergetics: An introduction: Nonequilibrium Phase Transitions and Self-organization in Physics, Chemistry, and Biology (Springer-Verlag, Berlin, New York, 1977).
2. H. Haken, Advanced Synergetics: Instability Hierarchies of Self-organizing Systems and Devices (Springer-Verlag, Berlin, New York, 1983).
3. P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley-Interscience, London, 1971).
4. G. Nicolis and I. Prigogine, Self-organization in Nonequilibrium Systems: From Dissipative Structures to Order Through Fluctuations (Wiley, New York, 1977).
5. Y. Oono and M. Paniconi, Prog. Theor. Phys. 130, 29 (1998). 10.1143/PTPS.130.29
6. H. Qian, J. Phys.: Condens. Matter 17, S3783 (2005). 10.1088/0953-8984/ 17/47/010
7. H. Qian and D. A. Beard, Biophys. Chem. 114, 213 (2005). 10.1016/j.bpc.2004.12.001
8. L. Onsager and S. Machlup, Phys. Rev. 91, 1505 (1953). 10.1103/PhysRev.91.1505
9. S. Machlup and L. Onsarger, Phys. Rev. 91, 1512 (1953). 10.1103/PhysRev.91.1512
10. T. L. Hill, J. Theor. Biol. 10, 442 (1966). 10.1016/0022-5193(66)90137-8
11. T. L. Hill, Free Energy Transduction in Biology (Academic Press, New York, 1977).
12. T. L. Hill, Free Energy Transduction and Biochemical Cycle Kinetics (Springer-Verlag, New York, 1989).
13. T. Hill and Y. Chen, Proc. Natl. Acad. Sci. U.S.A. 72, 1291 (1975). 10.1073/pnas.72.4.1291
14. J. Schnakenberg, Rev. Mod. Phys. 48, 571 (1976). 10.1103/RevModPhys.48. 571
15. D. Q. Jiang, M. Qian, and M. P. Qian, Lect. Notes Math. 1833, 1 (2004).
16. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. Lett. 71, 2401 (1993). 10.1103/PhysRevLett.71.2401
17. H. Ge and D. Q. Jiang, J. Phys. A 40, F713 (2007). 10.1088/1751-8113/40/ 30/F04
18. J. Kurchan, J. Phys. A 31, 3719 (1998). 10.1088/0305-4470/31/16/003
19. J. L. Lebowitz and H. Spohn, J. Stat. Phys. 95, 333 (1999). 10.1023/A:1004589714161
20. C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997). 10.1103/PhysRevLett.78. 2690
21. C. Jarzynski, Phys. Rev. E 56, 5018 (1997). 10.1103/PhysRevE.56.5018
22. C. Jarzynski, J. Stat. Phys. 96, 415 (1999). 10.1023/A:1004541004050
23. T. Hatano and S. Sasa, Phys. Rev. Lett. 86, 3463 (2001). 10.1103/PhysRevLett.86.3463
24. C. P. Fall, E. S. Marland, J. M. Wagner, and J. J. Tyson, Computational Cell Biology (Springer-Verlag, New York, 2002).
25. A. B. Kolomeisky and M. E. Fisher, Annu. Rev. Phys. Chem. 58, 675 (2007). 10.1146/annurev.physchem.58.032806.104532
26. H. Ge, D. Q. Jiang, and M. Qian, J. Appl. Probab. 43, 1028 (2006). 10.1239/jap/1165505205
27. D. A. McQuarrie, J. Appl. Probab. 4, 413 (1967). 10.2307/3212214
28. H. Qian and E. L. Elson, Biophys. Chem. 101-102, 565 (2002). 10.1016/S0301-4622(02)00145-X
29. H. Qian, J. Chem. Phys. 110, 15063 (2006).
30. T. Speck and U. Seifert, J. Phys. A 38, L581 (2005). 10.1088/0305-4470/ 38/34/L03
31. C. J. Adkins, Equilibrium Thermodynamics, 3rd ed. (Cambridge University Press, Cambridge, England, 1983).
32. J. Ross, Thermodynamics and Fluctuations Far from Equilibrium (Springer-Verlag, Berlin, Heidelberg, 2008).
33. H. Qian, Phys. Rev. E 63, 042103 (2001). 10.1103/PhysRevE.63.042103
34. U. Seifert, Phys. Rev. Lett. 95, 040602 (2005). 10.1103/PhysRevLett.95. 040602
35. C. Jarzynskia, Eur. Phys. J. B 64, 331 (2008). 10.1140/epjb/e2008-00254-2
36. D. N. Zubarev, Nonequilibrium Statistical Thermodynamics (Consultants Bureau, New York, 1974).
37. H. Ge and D. Q. Jiang, J. Stat. Phys. 131, 675 (2008). 10.1007/s10955-008-9520-4
38. H. Ge and M. Qian, J. Math. Phys. 48, 053302 (2007). 10.1063/1.2722561
39. G. E. Crooks, J. Stat. Phys. 90, 1481 (1998). 10.1023/A:1023208217925
40. G. E. Crooks, Phys. Rev. E 60, 2721 (1999). 10.1103/PhysRevE.60.2721
41. G. E. Crooks, Phys. Rev. E 61, 2361 (2000). 10.1103/PhysRevE.61.2361
42. E. G. D. Cohen and D. Mauzerall, J. Stat. Mech. Theor. Exp. (2004) P07006. 10.1088/1742-5468/2004/07/P07006
43. G. Lebon, D. Jou, and J. Casas-Vázquez, Understanding Non-equilibrium thermodynamics (Springer-Verlag, Berlin, Heidelberg, 2008).
44. S. R. de Groot and P. Mazur, Non-equilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
45. J. Schnakenberg, Thermodynamic Network Analysis of Biological Systems (Springer-Verlag, Berlin, Heidelberg, 1977).
46. C. Y. Mou, J. L. Luo, and G. Nicolis, J. Chem. Phys. 84, 7011 (1986). 10.1063/1.450623
47. T. Schmiedl and U. Seifert, J. Chem. Phys. 126, 044101 (2007). 10.1063/1.2428297
48. U. Seifert, Eur. Phys. J. B 64, 423 (2008). 10.1140/epjb/e2008-00001-9