On the interpretations of Tsallis functional in connection with Vlasov-Poisson and related systems: Dynamics vs thermodynamics

Physica A: Statistical Mechanics and its Applications

Volumn 356, Issue 2-4, 2005, Pages 419-446

  Chavanis, P H ^a   Sire, C ^a  

^a UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

Barotropic stars; Generalized thermodynamics; Nonlinear dynamical stability; Stellar systems; Vlasov equation

Indexed keywords

ASTROPHYSICS; GALAXIES; HIGH ENERGY PHYSICS; STATISTICAL MECHANICS; THERMODYNAMIC PROPERTIES;

BAROTROPIC STARS; GENERALIZED THERMODYNAMICS; NONLINEAR DYNAMICAL STABILITY; STELLAR SYSTEMS; VLASOV EQUATION;

FUNCTION EVALUATION;

EID: 29144437420     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.03.046     Document Type: Article

References (59)

1. T. Padmanabhan Phys. Rep. 188 1990 285
2. P.H. Chavanis, in: T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens (Eds.), Dynamics and Thermodynamics of Systems with Long Range Interactions, Lecture Notes in Physics, Springer, Berlin, 2002 [cond-mat/0212223].
3. J. Binney, and S. Tremaine Galactic Dynamics 1987 Princeton Series in Astrophysics Princeton
4. V.A. Antonov Vest. Leningr. Gos. Univ. 7 1962 135
5. D. Lynden-Bell, and R. Wood Mon. Not. R. Astron. Soc. 138 1968 495
6. M. Hénon Ann. Astrophys. 5 1961 369
7. P.H. Chavanis Astron. Astrophys. 432 2005 117
8. P.H. Chavanis Astron. Astrophys. 401 2003 15
9. D. Lynden-Bell MNRAS 136 1967 101
10. P.H. Chavanis, [cond-mat/0409511].
11. C. Tsallis J. Stat. Phys. 52 1988 479
12. H.C. Plummer MNRAS 71 1911 460
13. A.S. Eddington MNRAS 76 1916 572
14. P.H. Chavanis Phys. Rev. E 68 2003 036108
15. P.H. Chavanis Physica A 332 2004 89
16. P.H. Chavanis Banach Center Publ. 66 2004 79
17. P.H. Chavanis Physica A 340 2004 57
18. S. Tremaine, M. Hénon, and D. Lynden-Bell Mon. Not. R. Astron. Soc. 219 1986 285
19. J.R. Ipser Astrophys. J. 193 1974 463
20. J.R. Ipser, and G. Horwitz Astrophys. J. 232 1979 863
21. G. Rein, astro-ph/0501541
22. Y. Guo, and G. Rein Commun. Math. Phys. 219 2001 607
23. Y. Yamaguchi, J. Barré, F. Bouchet, T. Dauxois, and S. Ruffo Physica A 337 2004 36
24. P.H. Chavanis, J. Vatteville, F. Bouchet, [cond-mat/0408117].
25. A.R. Plastino, and A. Plastino Phys. Lett. A 174 1993 384
26. B.M. Boghosian Phys. Rev. E 53 1996 4754
27. A. Taruya, and M. Sakagami Physica A 307 2002 185
28. A. Taruya, and M. Sakagami Physica A 318 2003 387
29. A. Taruya, and M. Sakagami Physica A 322 2003 285
30. J.A.S. Lima, R. Silva, and J. Santos Astron. Astrophys. 396 2002 309
31. R. Silva, and J.S. Alcaniz Phys. Lett. A 313 2003 393
32. Du Jiulin Phys. Lett. A 320 2004 347
33. Du Jiulin Physica A 335 2004 107
34. C. Tsallis Braz. J. Phys. 29 1999 1
35. C. Tsallis, D. Prato, and A.R. Plastino Astrophys. Space Sci. 290 2004 259
36. V. Latora, A. Rapisarda, and C. Tsallis Physica A 305 2002 129
37. P.H. Chavanis, [cond-mat/0409641]
38. A.R. Plastino, and A. Plastino Physica A 222 1995 347
39. J.A.S. Lima, R. Silva, and A. Plastino Phys. Rev. Lett. 86 2001 2938
40. P.H. Chavanis, and C. Sire Phys. Rev. E 69 2004 016116
41. A. Taruya, and M. Sakagami Phys. Rev. Lett. 90 2003 181101
42. S. Chandrasekhar An Introduction to the Theory of Stellar Structure 1942 Dover
43. D.D. Holm, J.E. Marsden, T. Ratiu, and A. Weinstein Phys. Rep. 123 1985 1
44. P.H. Chavanis Astron. Astrophys. 381 2002 340
45. P.H. Chavanis Astron. Astrophys. 386 2002 732
46. H. Kandrup Astrophys. J. 244 1981 316
47. P.H. Chavanis Phys. Rev. E 64 2001 026309
48. R. Ellis, K. Haven, and B. Turkington Nonlinearity 15 2002 239
49. J. Katz MNRAS 183 1978 765
50. P.H. Chavanis PRE 65 2002 056123
51. H. Touchette, R.S. Ellis, and B. Turkington Physica A 340 2004 138
52. F. Bouchet, and J. Barré J. Stat. Phys. 118 2005 1073
53. N.W. Evans, J. An, [astro-ph/0501091]
54. A. Ponno, preprint
55. M.P. Almeida Physica A 300 2001 424
56. Du Jiulin, [cond-mat/0404602]; [nlin/0404039].
57. P.H. Chavanis, J. Sommeria, and R. Robert Astrophys. J. 471 1997 385
58. P.H. Chavanis MNRAS 300 1998 981
59. J. Hjorth, and J. Madsen MNRAS 265 1993 237