A proof of Clausius' theorem for time reversible deterministic microscopic dynamics

Journal of Chemical Physics

Volumn 134, Issue 20, 2011, Pages

  Evans, Denis J ^a   Williams, Stephen R ^a   Searles, Debra J ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b GRIFFITH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONSISTENCY CONDITIONS; CROOKS FLUCTUATION THEOREM; ERGODICS; MICROSCOPIC DYNAMICS; TIME REVERSIBLE;

THERMODYNAMICS;

THEOREM PROVING;

EID: 79958092562     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3592531     Document Type: Article

References (16)

1. S. R. Williams, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 100, 250601 (2008). 10.1103/PhysRevLett.100.250601
2. G. E. Crooks, J. Stat. Phys. 90, 1481 (1998); 10.1023/A:1023208217925
3. G. E. Crooks, Phys. Rev. E 60, 2721 (1999). 10.1103/PhysRevE.60.2721
4. G. P. Morriss and L. Rondoni, Phys. Rev. E 59, R5 (1999). 10.1103/PhysRevE.59.R5
5. J. C. Reid, E. M. Sevick, and D. J. Evans, Europhys. Lett. 72, 726 (2005). 10.1209/epl/i2005-10300-3 (Pubitemid 41757768)
6. D. J. Evans, D. J. Searles, and S. R. Williams, A Simple Mathematical Proof of Boltzmanns Equal a priori Probability Hypothesis., in Diffusion Fundamentals III, edited by, C. Chmelik, N. Kanellopoulos, J. Karger, and, D. Theodorou, (Leipziger Universitatsverlag, Leipzig, 2009), p. 367-374;
7. D. J. Evans, D. J. Searles, and S. R. Williams, J. Stat. Mech.: Theory Exp. 2009, P07029 (2009). 10.1088/1742-5468/2009/07/P07029
8. D. J. Evans and D. J. Searles, Adv. Phys. 51, 1529 (2002). 10.1080/00018730210155133 (Pubitemid 35458027)
9. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, 1987), p. 137.
10. See, for example, p. 332 of C. Jarzynski, Annu. Rev. Condens. Matter Phys. 2, 329 (2011). 10.1146/annurev-conmatphys-062910-140506
11. M. Planck, Treatise on Thermodynamics, 3rd Ed., translated from the 7th German Edition (Dover, New York, 1945), p. 99.
12. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic, London, 1990), pp. 251 and 252.
13. P. Ehrenfest and T. Ehrenfest, The Conceptual Foundations of the Statistical Approach in Mechanics, translated by M. Kac and G. E. Uhlenbeck (Dover, New York, 1990)
14. P. Ehrenfest and T. Ehrenfest, Begriffliche Grundlagen der Statistischen Auffassung in der Mechanik., in The Encyklopadie der Mathematischen Wissenschaften (B. G. Teubner, Leipzig, 1912), vol. IV:2:II, No. 6.
15. D. J. Evans, D. J. Searles, and S. R. Williams, J. Chem. Phys. 128, 014504 (2008); 10.1063/1.2812241
16. (Erratum) D. J. Evans, D. J. Searles, and S. R. Williams, J. Chem. Phys. 128, 249901 (2008). 10.1063/1.2943320