Finite bath fluctuation theorem

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

Volumn 80, Issue 3, 2009, Pages

  Campisi, Michele ^a   Talkner, Peter ^a   Hänggi, Peter ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE BATH; FLUCTUATION THEOREMS; HARD DISKS; LIMITING CASE; RECTANGULAR BOX; REFLECTING WALLS;

CALORIMETRY; HARD DISK STORAGE;

SPECIFIC HEAT;

EID: 70349902085     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.031145     Document Type: Article

References (34)

1. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. Lett. 71, 2401 (1993). 10.1103/PhysRevLett.71.2401
2. G. Gallavotti and E. G. D. Cohen, Phys. Rev. Lett. 74, 2694 (1995). 10.1103/PhysRevLett.74.2694
3. C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997). 10.1103/PhysRevLett.78. 2690
4. C. Jarzynski, C. R. Phys. 8, 495 (2007). 10.1016/j.crhy.2007.04.010
5. G. E. Crooks, Phys. Rev. E 60, 2721 (1999). 10.1103/PhysRevE.60.2721
6. P. Talkner and P. Hänggi, J. Phys. A: Math. Theor. 40, F569 (2007). 10.1088/1751-8113/40/26/F08
7. P. Talkner, E. Lutz, and P. Hänggi, Phys. Rev. E 75, 050102 (R) (2007). 10.1103/PhysRevE.75.050102
8. M. Campisi, P. Talkner, and P. Hänggi, Phys. Rev. Lett. 102, 210401 (2009). 10.1103/PhysRevLett.102.210401
9. C. Maes, in Poincaré Séminaire 2003, edited by, J. Balibard, B. Duplantier, and, V. Rivasseau, (Birkhauser, Basel, 2004), p. 145.
10. U. M. B. Marconi, A. Puglisi, L. Rondoni, and A. Vulpiani, Phys. Rep. 461, 111 (2008). 10.1016/j.physrep.2008.02.002
11. C. Jarzynski, Eur. Phys. J. B 64, 331 (2008). 10.1140/epjb/e2008-00254-2
12. B. Cleuren, C. Van den Broeck, and R. Kawai, Phys. Rev. Lett. 96, 050601 (2006). 10.1103/PhysRevLett.96.050601
13. P. Talkner, P. Hänggi, and M. Morillo, Phys. Rev. E 77, 051131 (2008). 10.1103/PhysRevE.77.051131
14. C. J. Thompson, Classical Equilibrium Statical Mechanics (Oxford University Press, Oxford, 1988).
15. H. B. Prosper, Am. J. Phys. 61, 54 (1993). 10.1119/1.17410
16. A. I. Khinchin, Mathematical Foundations of Statistical Mechanics (Dover, New York, 1949).
17. Sometimes this pdf is expressed in the system energy space, E, rather than in its phase space z. For example in Ref., the energy pdf of the system is given as: P (E) =const (Etot -E) 3n/2-1 E3m/2-1. The term E3m/2-1 comes from the system's density of states, where the system is assumed to be itself an ideal gas of m particles. Eq. 2 is more general in that the system is not assumed to be ideal.
18. In this work we adopt the convention of measuring temperature in units of energy. Thus kB, the Boltzmann constant is equal to 1 and the specific heat is dimensionless.
19. M. P. Almeida, Physica A 300, 424 (2001). 10.1016/S0378-4371(01)00353-3
20. M. Campisi, Phys. Lett. A 366, 335 (2007). 10.1016/j.physleta.2007.01.082
21. This freedom is known as duality and also occurs for other types of statistical ensembles (e.g., the Gaussian ensemble).
22. M. Campisi, Physica A 385, 501 (2007). 10.1016/j.physa.2007.07.004
23. G. Gallavotti, Statistical Mechanics. A Short Treatise (Springer Verlag, Berlin, 1995).
24. M. Campisi and G. B. Bagci, Phys. Lett. A 362, 11 (2007). 10.1016/j.physleta.2006.09.081
25. In taking the canonical limit we use the T parameterization.
26. A. B. Adib, J. Stat. Phys. 117, 581 (2004). 10.1007/s10955-004-3454-2
27. M. Campisi, Phys. Rev. E 78, 012102 (2008). 10.1103/PhysRevE.78.012102
28. M. Campisi, Phys. Rev. E 78, 051123 (2008). 10.1103/PhysRevE.78.051123
29. M. Campisi, Stud. Hist. Philos. Mod. Phys. 39, 181 (2008). 10.1016/j.shpsb.2007.09.002
30. A. E. Allahverdyan and T. M. Nieuwenhuizen, Phys. Rev. E 71, 046107 (2005). 10.1103/PhysRevE.71.046107
31. C. Jarzynski, Phys. Rev. Lett. 74, 2937 (1995). 10.1103/PhysRevLett.74. 2937
32. K. Huang, Statistical Mechanics (John Wiley & Sons, Singapore, 1963).
33. S. Hilbert and J. Dunkel, Phys. Rev. E 74, 011120 (2006). 10.1103/PhysRevE.74.011120
34. J. Dunkel and S. Hilbert, Physica A 370, 390 (2006). 10.1016/j.physa. 2006.05.018