Nonequilibrium microcanonical and canonical ensembles and their equivalence

Physical Review Letters

Volumn 111, Issue 12, 2013, Pages

  Chetrite, Raphaël ^a   Touchette, Hugo ^b,c  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

^b NATIONAL INSTITUTE FOR THEORETICAL PHYSICS NITHEP   (South Africa)

^c STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

CANONICAL ENSEMBLE; EQUILIBRIUM SYSTEMS; LARGE DEVIATION PROPERTY; NON-EQUILIBRIUM DIFFUSION; NONEQUILIBRIUM SYSTEM; PHYSICAL PROCESS; STATISTICAL PROPERTIES; TRANSITION RATES;

ATOMIC PHYSICS; PHYSICS;

MARKOV PROCESSES;

EID: 84884668275     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.120601     Document Type: Article

References (40)

1. F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw-Hill, New York, 1965).
2. R. M. L. Evans, Phys. Rev. Lett. 92, 150601 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.150601
3. R. M. L. Evans, J. Phys. A 38, 293 (2005). JPHAC5 0305-4470 10.1088/0305-4470/38/2/001 (Pubitemid 40101660)
4. R. M. L. Evans, Contemp. Phys. 51, 413 (2010). CTPHAF 0010-7514 10.1080/00107514.2010.496228
5. M. Merolle, J. P. Garrahan, and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 102, 10837 (2005). PNASA6 0027-8424 10.1073/pnas.0504820102 (Pubitemid 41105953)
6. L. O. Hedges, R. L. Jack, J. P. Garrahan, and D. Chandler, Science 323, 1309 (2009). SCIEAS 0036-8075 10.1126/science.1166665
7. D. Chandler and J. P. Garrahan, Ann. Rev. Chem. Phys. 61, 191 (2010). 10.1146/annurev.physchem.040808.090405
8. J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, Phys. Rev. Lett. 98, 195702 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.195702 (Pubitemid 47139480)
9. J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, J. Phys. A 42, 075007 (2009). JPAMB5 1751-8113 10.1088/1751-8113/42/7/075007
10. R. L. Jack and J. P. Garrahan, Phys. Rev. E 81, 011111 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.81.011111
11. T. Speck and J. P. Garrahan, Eur. Phys. J. B 79, 1 (2011). EPJBFY 1434-6028 10.1140/epjb/e2010-10800-x
12. C. Ates, B. Olmos, J. P. Garrahan, and I. Lesanovsky, Phys. Rev. A 85, 043620 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.043620
13. J. P. Garrahan, A. D. Armour, and I. Lesanovsky, Phys. Rev. E 84, 021115 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.021115
14. S. Genway, J. P. Garrahan, I. Lesanovsky, and A. D. Armour, Phys. Rev. E 85, 051122 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.051122
15. J. M. Hickey, S. Genway, I. Lesanovsky, and J. P. Garrahan, Phys. Rev. A 86, 063824 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.86.063824
16. R. L. Jack and P. Sollich, Prog. Theor. Phys. Suppl. 184, 304 (2010). PTPSEP 0375-9687 10.1143/PTPS.184.304
17. H. Touchette, Europhys. Lett. 96, 50010 (2011). EULEEJ 0295-5075 10.1209/0295-5075/96/50010
18. H. Touchette, Phys. Rep. 478, 1 (2009). PRPLCM 0370-1573 10.1016/j.physrep.2009.05.002
19. A. Baule and R. M. L. Evans, Phys. Rev. Lett. 101, 240601 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.240601
20. A. Baule and R. M. L. Evans, J. Stat. Mech. JSMTC6 1742-5468 (2010) P03030. 10.1088/1742-5468/2010/03/P03030
21. A. Simha, R. M. L. Evans, and A. Baule, Phys. Rev. E 77, 031117 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.77.031117 (Pubitemid 351431334)
22. U. Seifert, Rep. Prog. Phys. 75, 126001 (2012). RPPHAG 0034-4885 10.1088/0034-4885/75/12/126001
23. B. Derrida, J. Stat. Mech. JSMTC6 1742-5468 (2007) P07023. 10.1088/1742-5468/2007/07/P07023
24. H. J. C. Berendsen, J. P. M. Postma, W. F. van Gunsteren, A. DiNola, and J. R. Haak, J. Chem. Phys. 81, 3684 (1984). JCPSA6 0021-9606 10.1063/1.448118
25. V. Popkov, G. M. Schütz, and D. Simon, J. Stat. Mech. JSMTC6 1742-5468 (2010) P10007. 10.1088/1742-5468/2010/10/P10007
26. V. Popkov and G. Schütz, J. Stat. Phys. 142, 627 (2011). JSTPBS 0022-4715 10.1007/s10955-011-0137-7
27. V. Belitsky and G. Schütz, J. Stat. Phys. 152, 93 (2013). JSTPBS 0022-4715 10.1007/s10955-013-0758-0
28. V. Lecomte, C. Appert-Rolland, and F. van Wijland, Phys. Rev. Lett. 95, 010601 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.010601 (Pubitemid 41506420)
29. V. Lecomte, C. Appert-Rolland, and F. van Wijland, J. Stat. Phys. 127, 51 (2007). JSTPBS 0022-4715 10.1007/s10955-006-9254-0
30. D. W. Stroock and S. R. S. Varadhan, Multidimensional Diffusion Processes (Springer, New York, 1979).
31. K. Sekimoto, Lect. Notes Phys. 799, 1 (2010). LNPHA4 0075-8450 10.1007/978-3-642-05411-2
32. R. Chetrite and H. Touchette (to be published).
33. J. L. Doob, Classical Potential Theory and Its Probabilistic Counterpart (Springer, New York, 1984).
34. K. L. Chung and J. B. Walsh, Markov Processes, Brownian Motion, and Time Symmetry (Springer, Berlin, 2005), 2nd ed.
35. R. Chetrite and S. Gupta, J. Stat. Phys. 143, 543 (2011). JSTPBS 0022-4715 10.1007/s10955-011-0184-0
36. H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications (Springer, Berlin, 1996), 3rd ed.
37. V. Blickle, T. Speck, C. Lutz, U. Seifert, and C. Bechinger, Phys. Rev. Lett. 98, 210601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.210601 (Pubitemid 47139638)
38. J. R. Gomez-Solano, A. Petrosyan, S. Ciliberto, R. Chetrite, and K. Gawedzki, Phys. Rev. Lett. 103, 040601 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.040601
39. T. Nemoto and S.-I. Sasa, Phys. Rev. E 83, 030105 (2011); PLEEE8 1539-3755 10.1103/PhysRevE.83.030105
40. T. Nemoto S.-I. Sasa Phys. Rev. E 84, 061113 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.061113