Anomalous diffusion and collapse of self-gravitating Langevin particles in D dimensions

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

Volumn 69, Issue 1 2, 2004, Pages 161161-1611629

  Chavanis, Pierre Henri ^a   Sire, Clément ^a  

^a Lab de Physique Théorique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BACTERIA; DYNAMICS; FREE ENERGY; GRAVITATION; LYAPUNOV METHODS; RANDOM PROCESSES;

LANGEVIN PARTICLES; TSALLIS FREE ENERGY;

THERMODYNAMICS;

EID: 3342973415     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (54)

1. P. H. Chavanis, J. Sommeria, and R. Robert, Astrophys. J. 471, 385 (1996).
2. P. H. Chavanis, C. Rosier, and C. Sire, Phys. Rev. E 66, 036105 (2002).
3. C. Sire and P. H. Chavanis, Phys. Rev. E 66, 046133 (2002).
4. C. Sire and P. H. Chavanis, preprint, cond-mat/0306406.
5. M. A. Herrero, E. Medina, and J. J. L. Velazquez, J. Comput. Appl. Math. 97, 99 (1998).
6. P. Biler, G. Karch, J. Dolbeault, and M. J. Esteban, Adv. Diff. Eqs. 6, 461 (2001).
7. C. Rosier, C. R. Acad. Sci., Ser. I: Math. 332, 903 (2001).
8. P. Biler and T. Nadzieja, Rep. Math. Phys. 52, 205 (2003).
9. I. A. Guerra, M. A. Peletier, and J. Williams (unpublished).
10. H. Risken, The Fokker-Planck Equation (Springer, New York, 1989).
11. J. D. Murray, Mathematical Biology (Springer, New York, 1991).
12. R. Robert and J. Sommeria, Phys. Rev. Lett. 69, 2776 (1992).
13. P. H. Chavanis, Phys. Rev. E 58, R1199 (1998).
14. P. H. Chavanis, Phys. Rev. Lett. 84, 5512 (2000).
15. P. H. Chavanis, Phys. Rev. E 64, 026309 (2001).
16. P. H. Chavanis, in Dynamics and Thermodynamics of Systems with Long Range Interactions, edited by T. Dauxois, S. Ruffo, E. Arimondo, and M. Wilkens, Lecture Notes in Physics Vol. 602 (Springer, New York, 2002), preprint, cond-mat/0212223.
17. P. H. Chavanis, preprint, cond-mat/0209098.
18. S. Chandrasekhar, An Introduction to the Theory of Stellar Structure (Dover, New York, 1939).
19. J. Binney and S. Tremaine, Galactic Dynamics, Princeton Series in Astrophysics (Princeton University Press, Princeton, NJ, 1987).
20. P. H. Chavanis, Phys. Rev. E 68, 036108 (2003).
21. L. Borland, Phys. Rev. E 57, 6634 (1998).
22. G. Kaniadakis, Physica A 296, 405 (2001).
23. P. H. Chavanis, Physica A (to be published), e-print cond-mat/0304073.
24. M. Shiino, Phys. Rev. E 67, 056118 (2003).
25. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
26. P. H. Chavanis, Astron. Astrophys. 401, 15 (2003).
27. D. Lynden-Bell, Mon. Not. R. Astron. Soc. 136, 101 (1967).
28. S. Tremaine, M. Hénon, and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 219, 285 (1986).
29. B. M. Boghosian, Phys. Rev. E 53, 4754 (1996).
30. A. Taruya and M. Sakagami, Physica A 307, 185 (2002).
31. A. Taruya and M. Sakagami, Physica A 318, 387 (2003).
32. A. Taruya and M. Sakagami, Physica A 322, 285 (2003).
33. P. H. Chavanis, Astron. Astrophys. 386, 732 (2002).
34. C. Sire and P. H. Chavanis (unpublished).
35. P. H. Chavanis, Ann. N.Y. Acad. Sci. 867, 120 (1998).
36. P. H. Chavanis, in Proceedings of the Conference on Multiscale Problems in Science and Technology, edited by N. Antonic, C. J. van Duijn, W. Jäger, and A. Mikelic (Springer, New York, 2002), e-print, astro-ph/0212205.
37. J. R. Ipser and G. Horwitz, Astrophys. J. 232, 863 (1979).
38. P. H. Chavanis and M. Rieutord, Astron. Astrophys. 412, 1 (2003).
39. G. Joyce and D. Montgomery, J. Plasma Phys. 10, 107 (1973).
40. R. Ellis, K. Haven, and B. Turkington, Nonlinearity 15, 239 (2002).
41. F. Bouchet, Ph.D. thesis, Université J. Fourier, 2001.
42. Y. Y. Yamaguchi, J. Barré, F. Bouchet, T. Dauxois, and S. Ruffo (unpublished).
43. H. C. Plummer, Mon. Not. R. Astron. Soc. 71, 460 (1911).
44. J. Katz, Mon. Not. R. Astron. Soc. 183, 765 (1978).
45. T. Padmanabhan, Phys. Rep. 188, 285 (1990).
46. P. H. Chavanis, M. Ribot, C. Rosier, and C. Sire (unpublished).
47. P. H. Chavanis, Astron. Astrophys. 356, 1089 (2000).
48. D. Lynden-Bell and R. Wood, Mon. Not. R. Astron. Soc. 138, 495 (1968).
49. R. B. Larson, Mon. Not. R. Astron. Soc. 147, 323 (1970).
50. H. Cohn, Astrophys. J. 242, 765 (1980).
51. D. Lynden-Bell and P. P. Eggleton, Mon. Not. R. Astron. Soc. 191, 483 (1980).
52. R. Emden, Gaskugeln (Teubner-Verlag, Leipzig, 1907).
53. P. H. Chavanis (unpublished).
54. D. E. McLaughlin and R. E. Pudritz, Astrophys. J. 476, 750 (1997).