Generalized molecular chaos hypothesis and the H theorem: Problem of constraints and amendment of nonextensive statistical mechanics

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

Volumn 79, Issue 4, 2009, Pages

  Abe, Sumiyoshi ^a,b,c  

^a MIE UNIVERSITY   (Japan)

^b Institut Superieur des Materiaux et Mecaniques Avances   (France)

^c Inspire Institute Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE VALUES; H THEOREMS; MOLECULAR CHAOS HYPOTHESIS; NON-EXTENSIVE STATISTICAL MECHANICS;

STATISTICAL MECHANICS;

EID: 65549146034     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.041116     Document Type: Article

References (28)

1. Nonextensive Statistical Mechanics and Its Applications, edited by, S. Abe, and, Y. Okamoto, (Springer-Verlag, Berlin, 2001).
2. C. Tsallis, Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World (Springer-Verlag, New York, 2009).
3. C. Tsallis, R. S. Mendes, and A. R. Plastino, Physica A 261, 534 (1998). 10.1016/S0378-4371(98)00437-3
4. E. T. Jaynes, Papers on Probability, Statistics and Statistical Physics, edited by, R. D. Rosenkrantz, (Kluwer, Dordrecht, 1989).
5. C. Tsallis, J. Stat. Phys. 52, 479 (1988). 10.1007/BF01016429
6. H. Hernández-Saldaña and A. Robledo, Physica A 370, 286 (2006). 10.1016/j.physa.2006.03.018
7. A. Robledo, Physica A 370, 449 (2006). 10.1016/j.physa.2006.06.003
8. A. Robledo and L. G. Moyano, Phys. Rev. E 77, 036213 (2008). 10.1103/PhysRevE.77.036213
9. S. Abe, Europhys. Lett. 84, 60006 (2008). 10.1209/0295-5075/84/60006
10. J. E. Shore and R. W. Johnson, IEEE Trans. Inf. Theory IT-26, 26 (1980) 10.1109/TIT.1980.1056144
11. J. E. Shore and R. W. Johnson, IEEE Trans. Inf. Theory IT-27, 472 (1981) 10.1109/TIT.1981.1056373
12. J. E. Shore and R. W. Johnson, IEEE Trans. Inf. Theory IT-29, 942 (1983).
13. S. Abe and G. B. Bagci, Phys. Rev. E 71, 016139 (2005). 10.1103/PhysRevE.71.016139
14. S. Abe, Astrophys. Space Sci. 305, 241 (2006). 10.1007/s10509-006-9198-5
15. J. A. S. Lima, R. Silva, and A. R. Plastino, Phys. Rev. Lett. 86, 2938 (2001). 10.1103/PhysRevLett.86.2938
16. I. V. Karlin, M. Grmela, and A. N. Gorban, Phys. Rev. E 65, 036128 (2002). 10.1103/PhysRevE.65.036128
17. A. Lavagno, Phys. Lett. A 301, 13 (2002). 10.1016/S0375-9601(02)00964-7
18. T. S. Biró and G. Purcsel, Phys. Rev. Lett. 95, 162302 (2005). 10.1103/PhysRevLett.95.162302
19. R. Silva and J. A. S. Lima, Phys. Rev. E 72, 057101 (2005). 10.1103/PhysRevE.72.057101
20. S. Abe, Math. Comput. Simul. 72, 72 (2006). 10.1016/j.matcom.2006.05.004
21. T. Osada and G. Wilk, Phys. Rev. C 77, 044903 (2008). 10.1103/PhysRevC.77.044903
22. L. Nivanen, A. Le Méhauté, and Q. A. Wang, Rep. Math. Phys. 52, 437 (2003). 10.1016/S0034-4877(03)80040-X
23. E. P. Borges, Physica A 340, 95 (2004). 10.1016/j.physa.2004.03.082
24. S. Abe, J. Phys. A 36, 8733 (2003). 10.1088/0305-4470/36/33/301
25. T. Morimoto, J. Phys. Soc. Jpn. 18, 328 (1963). 10.1143/JPSJ.18.328
26. P. Gorban, Physica A 328, 380 (2003). 10.1016/S0378-4371(03)00578-8
27. S. Abe, Conceptual difficulties with the q -averages in nonextensive statistical mechanics, to appear in Proceedings of Statistical Mechanics and Mathematics of Complex Systems.
28. F. Baldovin and A. Robledo, Phys. Rev. E 69, 045202 (R) (2004). 10.1103/PhysRevE.69.045202