Gravitational instability of isothermal and polytropic spheres

Astronomy and Astrophysics

Volumn 401, Issue 1, 2003, Pages 15-42

  Chavanis, P H ^a  

^a CNRS   (France)

Author keywords

Gravitation; Hydrodynamics; Instabilities; Stellar dynamics

Indexed keywords

GRAPHIC METHODS; GRAVITATION; HYDRODYNAMICS; INTEGRATION;

STELLAR DYNAMICS;

ASTRONOMY;

EID: 0037382152     PISSN: 00046361     EISSN: None     Source Type: Journal    
DOI: 10.1051/0004-6361:20021779     Document Type: Article

References (62)

1. Antonov, V. A. 1962, Vest. Leningr. Gos. Univ., 7, 135
2. Aronson, E. B., & Hansen, C. J. 1972, ApJ, 177, 145
3. Bettwieser, E., & Sugimoto, D. 1984, MNRAS, 208, 493
4. Bilic, N., & Viollier, R. D. 1997, Phys. Lett. B, 408, 75
5. Binney, J., & Tremaine, S. 1987, Galactic Dynamics (Princeton Ser. in Astrophysics)
6. Bonnor, W. B. 1956, MNRAS, 116, 351
7. Chandrasekhar, S. 1942, An introduction to the theory of stellar Structure (Dover)
8. Chavanis, P. H. 1998, MNRAS, 300, 981
9. Chavanis, P. H. 2002a, A&A, 381, 340
10. Chavanis, P. H. 2002b, A&A, 386, 732
11. Chavanis, P. H. 2002c, PRE, 65, 056123
12. Chavanis, P. H. 2002d, A&A, 381, 709
13. Chavanis, P. H. 2002e, Statistical mechanics of two-dimensional vortices and stellar systems, in Dynamics and thermodynamics of systems with long range interactions, ed. T. Dauxois, S. Ruffo, E. Arimondo, & M. Wilkens, Lecture Notes in Physics, vol. 602 (Springer) [cond-mat/0212223]
14. Chavanis, P. H. 2002f, Statistical mechanics of violent relaxation in stellar systems, in Proc. of the Conf. on Multiscale Problems in Science and Technology (Springer) [astro-ph/0212205]
15. Chavanis, P. H. 2002g, The self-gravitating Fermi gas, in Proceedings of the Fourth International Heidelberg Conference on Dark Matter in Astro and Particle Physics, ed. Klapdor-Kleingrothaus (New-York: Springer) [astro-ph/0205426]
16. Chavanis, P. H. 2002h. PRE, submitted [cond-mat/0209096]
17. Chavanis, P. H., & Ispolatov, I. 2002, PRE, 66, 036109
18. Chavanis, P. H., & Sommeria, J. 1998, MNRAS, 296, 569
19. Chavanis, P. H., Sommeria, J., & Robert, R. 1996, ApJ, 471, 385
20. Chavanis, P. H., Rosier, C., & Sire, C. 2002, PRE, 66, 036105
21. Cohn, H. 1980, ApJ, 242, 765
22. de Vega, H. J., Sanchez, N., & Combes, F. 1998, ApJ, 500, 8
23. de Vega, H. J., & Sanchez, N. 2002, Nucl. Phys. B, 625, 409
24. Doremus, J. P., Feix, M. R., & Baumann, G. 1971, Phys. Rev. Lett., 26, 725
25. Ebert, R. 1955, Z. Astrophys., 37, 217
26. Eddington, A. S. 1926 The internal constitution of stars (Cambridge University Press)
27. Hawking, S. W. 1974, Nature, 248, 30
28. Hénon, M. 1961, Ann. Astrophys., 24, 369
29. Hertel, P., & Thirring, W. 1971, in Quanten und Felder, ed. H. P. Dürr (Vieweg, Braunschweig)
30. Hjorth, J., & Madsen, J. 1993, MNRAS, 265, 237
31. Horwitz, G., & Katz, J. 1978, ApJ, 222, 941
32. Inagaki, S., & Lynden-Bell, D. 1983, MNRAS, 205, 913
33. Ipser, J. R. 1974, ApJ, 193, 463
34. Ipser, J. R., & Horwitz, G. 1979, ApJ, 232, 863
35. Jaffe, W. 1987, in Structure and dynamics of elliptical galaxies, Proc. IAU Symp, 127, ed. T. de Zeeuw (Reidel, Dordrecht)
36. Kandrup, H. E. 1981, ApJ, 244, 316
37. Katz, J. 1978, MNRAS, 183, 765
38. Katz, J. 1980, MNRAS, 190, 497
39. Katz, J., & Okamoto, I. 2000, MNRAS, 371, 163
40. Kiessling, M. 1989, J. Stat. Mech., 55, 203
41. Lecar, M., & Katz, J. 1981, ApJ, 243, 983
42. Lee, E. P. 1968, ApJ, 151, 687
43. Lynden-Bell, D. 1967, MNRAS, 136, 101
44. Lynden-Bell, D., & Eggleton, P. P. 1980, MNRAS, 191, 483
45. Lynden-Bell, D., & Sanitt, N. 1969, MNRAS, 143, 167
46. Lynden-Bell, D., & Wood, R. 1968, MNRAS, 138, 495
47. McCrea, W. H. 1957, MNRAS, 117, 562
48. Michel, J., & Robert, R. 1994, Commun. Math. Phys., 159, 195
49. Ogorodnikov, K. F. 1965, Dynamics of stellar systems (Pergamon)
50. Padmanabhan, T. 1989, ApJS, 71, 651
51. Padmanabhan, T. 1990, Phys. Rep., 188, 285
52. Padmanabhan, T. 1991, MNRAS, 253, 445
53. Penston, M. V. 1969, MNRAS, 144, 425
54. Plastino, A., & Plastino, A. R. 1997, Phys. Lett. A, 226, 257
55. Plummer, H. C. 1911, MNRAS, 71, 460
56. Sire, C., & Chavanis, P. H. 2002, PRE, 66, 046133
57. Taruya, A., & Sakagami, M. 2002a, Physica A, 307, 185
58. Taruya, A., & Sakagami, M. 2002b, Physica A, submitted [cond-mat/0204315]
59. Terletsky, Y. P. 1952, Zh. Eksper. Teor. Fiz., 22, 506
60. Tremaine, S., Hénon, M., & Lynden-Bell, D. 1986, MNRAS, 227, 543
61. Tsallis, C. 1988, J. Stat. Phys., 52, 479
62. Yabushita, S. 1968, MNRAS, 140, 109