Fluctuation relation for a Lévy particle

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

Volumn 76, Issue 2, 2007, Pages

  Touchette, H ^a   Cohen, E G D ^b  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b ROCKEFELLER UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DRAG; PROBABILITY DENSITY FUNCTION; THEOREM PROVING;

RANDOM FORCING;

HIGH ENERGY PHYSICS;

EID: 34547881060     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.020101     Document Type: Article

References (33)

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. D. J. Evans and D. J. Searles, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.1645 50, 1645 (1994);
3. D. J. Searles and D. J. Evans, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1287424 113, 3503 (2000).
4. G. Gallavotti and E. G. D. Cohen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2694 74, 2694 (1995).
5. R. van Zon and E. G. D. Cohen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.046102 67, 046102 (2003).
6. G. Gallavotti and E. G. D. Cohen, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02179860 80, 931 (1995);
7. G. Gentile, Forum Math. ZZZZZZ 0933-7741 10, 89 (1998);
8. C. Maes and E. Verbitskiy, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-003-0959-5 233, 137 (2003);
9. A. Giuliani, F. Zamponi, and G. Gallavotti, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-005-3021-5 119, 909 (2005).
10. J. Kurchan, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/16/003 31, 3719 (1998);
11. J. L. Lebowitz and H. Spohn, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004589714161 95, 333 (1999);
12. C. Maes, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004541830999 95, 367 (1999).
13. R. van Zon and E. G. D. Cohen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.110601 91, 110601 (2003);
14. R. van Zon and E. G. D. Cohen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.056121 69, 056121 (2004).
15. J. Farago, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014538214117 107, 781 (2002);
16. L. Rey-Bellet and L. E. Thomas, Ann. Inst. Henri Poincare 3, 483 (2002);
17. F. Bonetto, G. Gallavotti, A. Giuliani, and F. Zamponi, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9047-5 123, 39 (2006);
18. R. J. Harris, A. Rákos, and G. M. Schütz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10102-1 75, 227 (2006);
19. A. Puglisi, L. Rondoni, and A. Vulpiani, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006), P08010;
20. P. Visco, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006), P06006.
21. B. J. West and V. Seshadri, Physica A PHYADX 0378-4371 10.1016/0378-4371(82)90015-2 113, 203 (1982).
22. V. V. Uchaikin and V. M. Zolotarev, Chance and Stability: Stable Distributions and their Applications (VSP, Utrecht, 1999).
23. M. O. Cáceres and A. A. Budini, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/24/009 30, 8427 (1997);
24. M. O. Cáceres, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/ 33/301 32, 6009 (1999).
25. R. S. Ellis, Entropy, Large Deviations, and Statistical Mechanics (Springer, New York, 1985).
26. H. Touchette and E. G. D. Cohen (unpublished).
27. A. Buguin, F. Brochard, and P.-G. de Gennes, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2006-00013-8 19, 31 (2006).
28. P.-G. de Gennes, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-005-4650- 4 119, 953 (2005).
29. S. Aumaître, S. Fauve, S. McNamara, and P. Poggi, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170321 19, 449 (2001);
30. P. Visco, A. Puglisi, A. Barrat, E. Trizac, and F. van Wijland, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10213-1 72, 55 (2005);
31. A. Puglisi, P. Visco, A. Barrat, E. Trizac, and F. van Wijland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.110202 95, 110202 (2005);
32. P. Visco, A. Puglisi, A. Barrat, E. Trizac, and F. van Wijland, J. Stat. Phys. JSTPBS 0022-4715 125, 533 (2006).
33. F. Bonetto, G. Gallavotti, A. Giuliani, and F. Zamponi, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006), P05009.