Fluctuation theorem for entropy production during effusion of a relativistic ideal gas

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

Volumn 77, Issue 2, 2008, Pages

  Cleuren, B ^a   Willaert, K ^a   Engel, A ^b   Van Den Broeck, C ^a  

^a HASSELT UNIVERSITY   (Belgium)

^b UNIVERSITY OF OLDENBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; PARTICLES (PARTICULATE MATTER); PROBABILITY DISTRIBUTIONS;

FLUCTUATION THEOREM; IDEAL GAS;

THEOREM PROVING;

EID: 40549129699     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.022103     Document Type: Article

References (26)

1. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.2401 71, 2401 (1993);
2. G. Gallavotti and E. G. D. Cohen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2694 74, 2694 (1995);
3. G. Gallavotti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 4334 77, 4334 (1996);
4. Work, Dissipation, and Fluctuations in Nonequilibrium Systems, edited by, B. Derrida, P. Gaspard, and, C. Van den Broeck, Vol. 8 of C. R. Physique (Académie des Sciences, Paris, 2007).
5. D. J. Evans and D. J. Searles, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.1645 50, 1645 (1994);
6. M. Dolowschiák and Z. Kovács, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.025202 71, 025202 (R) (2005);
7. T. Gilbert, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.035102 73, 035102 (R) (2006).
8. J. Kurchan, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/16/003 31, 3719 (1998);
9. J. L. Lebowitz and H. Spohn, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004589714161 95, 333 (1999);
10. D. Andrieux and P. Gaspard, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1782391 121, 6167 (2004);
11. D. Andrieux and P. Gaspard, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006), P01011;
12. C. Maes, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004541830999 95, 367 (1999).
13. B. Cleuren, C. Van den Broeck, and R. Kawai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.050601 96, 050601 (2006).
14. C. Jarzynski, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1018670721277 98, 77 (2000).
15. M. Esposito and S. Mukamel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.046129 73, 046129 (2006);
16. M. Esposito, U. Harbola, and S. Mukamel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.155316 75, 155316 (2007);
17. U. Harbola, M. Esposito, and S. Mukamel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.085408 76, 085408 (2007).
18. A. Fingerle, C. R. Phys. CRPOBN 1631-0705 8, 696 (2007).
19. B. Cleuren, C. Van den Broeck, and R. Kawai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.021117 74, 021117 (2006).
20. K. Wood, C. Van den Broeck, R. Kawai, and K. Lindenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.061116 75, 061116 (2007).
21. B. Cleuren and C. Van den Broeck, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/79/30001 79, 30001 (2007).
22. For simplicity we assume that the containers are stationary. The issue of gases in relative motion at relativistic speeds, can be analyzed along the lines of Ref..
23. D. Cubero, J. Casado-Pascual, J. Dunkel, P. Talkner, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.170601 99, 170601 (2007).
24. C. Van den Broeck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 95.190602 95, 190602 (2005).
25. C. Van den Broeck, Adv. Chem. Phys. ADCPAA 0065-2385 135, 189 (2007).
26. H. E. Haber and H. A. Weldon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.46.1497 46, 1497 (1981).