Dynamics and thermodynamics of a simple model similar to self-gravitating systems: The HMF model

European Physical Journal B

Volumn 46, Issue 1, 2005, Pages 61-99

  Chavanis, P H ^a   Vatteville, J ^a   Bouchet, F ^b  

^a Lab de Physique Théorique   (France)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; COMPUTER SIMULATION; GRAVITATION; HAMILTONIANS; PHASE TRANSITIONS; REAL TIME SYSTEMS; SOFTWARE PROTOTYPING; STATISTICAL METHODS;

CLASSICAL STATISTICAL MECHANICS; COSINE BINARY POTENTIAL; NONLINEAR DYNAMICS AND NONLINEAR DYNAMICAL SYSTEMS; PLASMA PHYSICS;

THERMODYNAMICS;

EID: 23844475129     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2005-00234-0     Document Type: Article

References (66)

1. Dynamics and thermodynamics of systems with long range interactions, Lecture Notes in Physics, edited by T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens (Springer, 2002)
2. T. Padmanabhan, Phys. Rep. 188, 285 (1990)
3. P.H. Chavanis, Statistical mechanics of two-dimensional vortices and stellar systems, in: Dynamics and thermodynamics of systems with long range interactions, edited by T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens, Lecture Notes in Physics (Springer, 2002); e-print: cond-mat/0212223
4. V.A. Antonov, Vest. Leningr. Cos. Univ. 7, 135 (1962)
5. D. Lynden-Bell, Runaway Centers, in: Extrait du Bulletin Astronomique, Série 3, Tome III, Fascicule 2 (Editions du CNRS, 1968)
6. T. Konishi, K. Kaneko, J. Phys. A 25, 6283 (1992)
7. S. Inagaki, T. Konishi, Publ. Astron. Soc. Jpn 45, 733 (1993)
8. S. Inagaki, Prog. Theor. Phys. 90, 557 (1993)
9. S. Inagaki, Prog. Theor. Phys. 96, 1307 (1996)
10. C. Pichon, Ph.D. thesis, Cambridge (1994)
11. D. Lynden-Bell, MNRAS 136, 101 (1967)
12. M. Antoni, S. Ruffo, Phys. Rev. E 52, 2361 (1995)
13. T. Dauxois, V. Latora, A. Rapisarda, S. Ruffo, A. Torcini, The Hamiltonian Mean Field Model: from Dynamics to Statistical Mechanics and back, in: Dynamics and thermodynamics of systems with long range interactions, edited by T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens, Lecture Notes in Physics (Springer, 2002) cond-mat/0208466
14. S. Tremaine, M. Hénon, D. Lynden-Bell, MNRAS 227, 543 (1986)
15. J. Binney, S. Tremaine, Galactic Dynamics (Princeton Series in Astrophysics, 1987)
16. Y.Y. Yamaguchi, J. Barré, F. Bouchet, T. Dauxois, S. Ruffo, Physica A 337, 36 (2004)
17. P.H. Chavanis, 2004, cond-mat/0409641
18. P.H. Chavanis, A&A 432, 117 (2005)
19. P.H. Chavanis, A&A 401, 15 (2003)
20. P.H. Chavanis, A&A 381, 340 (2002)
21. P.H. Chavanis, Phys. Rev. E 65, 056123 (2002)
22. J. Katz, MNRAS 183, 765 (1978)
23. J. Katz, MNRAS 190, 497 (1980)
24. J. Katz, Found. Phys. 33, 223 (2003)
25. S. Chandrasekhar, J. von Neumann, ApJ 95, 489 (1942)
26. P.H. Chavanis, C. Sire, Phys. Rev. E 62, 490 (2000)
27. D.D. Holm, J.E. Marsden, T. Ratiu, A. Weinstein, Phys. Rep. 123, 1 (1985)
28. P.H. Chavanis, C. Sire, 2004, cond-mat/0409569
29. M. Vergassola, B. Dubrulle, U. Frisch, A. Noullez, A&A 289, 325 (1994)
30. J. Barré, F. Bouchet, T. Dauxois, S. Ruffo, Eur. Phys. J. B 29, 577 (2002)
31. P.H. Chavanis, Phys. Rev. E 68, 036108 (2003)
32. F. Bouchet, J. Barré, J. Stat. Phys. 118, 1073 (2005)
33. R. Ellis, K. Haven, B. Turkington, Nonlinearity 15, 239 (2002)
34. M.Y. Choi, J. Choi, Phys. Rev. Lett. 91, 124101 (2003)
35. S. Ichimaru, Basic Principles of Plasma Physics, edited by W.A. Benjamin (Inc. Reading, Mass., 1973)
36. C. Tsallis, J. Stat. Phys. 52, 479 (1988)
37. H. Brands, P.H. Chavanis, J. Sommeria and R. Pasmanter, Phys. Fluids 11, 3465 (1999)
38. P.H. Chavanis, 2004, cond-mat/0409511
39. P.H. Chavanis, J. Sommeria, R. Robert, ApJ 471, 385 (1996)
40. P.H. Chavanis, MNRAS 300, 981 (1998)
41. P.H. Chavanis, C. Sire, Phys. Rev. E 69, 016116 (2004)
42. P.H. Chavanis, Banach Center Publ. 66, 79 (2004)
43. S. Chandrasekhar, An Introduction to the Theory of Stellar Structure (Dover, New York, 1939)
44. H. Kandrup, ApJ 244, 316 (1981)
45. P.H. Chavanis, Phys. Rev. E 64, 026309 (2001)
46. P.H. Chavanis, unpublished notes (2003)
47. D. Dubin, T.M. O'Neil, Phys. Rev. Lett. 60, 1286 (1988)
48. D. Dubin, Phys. Plasmas 10, 1338 (2003)
49. H. Kandrup, Astr. Space. Sci. 97, 435 (1983)
50. P.H. Chavanis, Physica A 332, 89 (2004)
51. H. Risken, The Fokker-Planck equation (Springer, 1989)
52. F. Bouchet, Phys. Rev. E 70, 036113 (2004)
53. F. Bouchet, T. Dauxois 2004, cond-mat/0407703
54. S. Chandrasekhar, ApJ 99, 47 (1944)
55. Y.Y. Yamaguchi, Phys. Rev. E 68, 066210 (2003)
56. A. Pluchino, V. Latora, A. Rapisarda, Phys. Rev. E 69, 056113 (2004)
57. P.H. Chavanis, G. Rosier, C. Sire, Phys. Rev. E 66, 036105 (2002)
58. P.H. Chavanis, M. Ribot, C. Rosier, C. Sire, Banach Center Publ. 66, 103 (2004)
59. P.H. Chavanis, P. Laurençot, M. Lemou, Physica A 341, 145 (2004)
60. B.M. Boghosian, Phys. Rev. E 53, 4754 (1996)
61. V. Latora, A. Rapisarda, G. Tsallis, Physica A 305, 129 (2002)
62. A. Taruya, M. Sakagami, Physica A 322, 285 (2003)
63. G.L. Camm, MNRAS 110, 305 (1950)
64. M. Hénon, Astrophys. Space Sci. 14, 751 (1971)
65. D. Lynden-Bell, R.M. Lynden-Bell, MNRAS 181, 405 (1977)
66. J. Katz, I. Okamoto, MNRAS 317, 163 (2000)