Mean field theory of spherical gravitating systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 4 B, 2000, Pages 5783-5792

  Klinko, Peter J ^a   Miller, Bruce N ^a  

^a TEXAS CHRISTIAN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; EQUATIONS OF MOTION; FREE ENERGY; GRAVITATIONAL EFFECTS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PHASE TRANSITIONS; PROBABILITY DENSITY FUNCTION;

MEAN FIELD THEORY;

ASTROPHYSICS;

EID: 0034293925     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.5783     Document Type: Article

References (24)

1. D. C. Heggie and G. Meylan, Astron. Astrophys. Rev. 8, 1 (1997).
2. J. Binney and S. Tremaine, Galactic Dynamics (Princeton University Press, Princeton, NJ, 1987).
3. V. A. Antonov, Vestn. Leningr. Gos. Univ. 7, 135 (1962).
4. D. Lynden-Bell and R. Wood, Mon. Not. R. Astron. Soc. 138, 495 (1968).
5. J. Katz and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 184, 709 (1978).
6. J. Katz, Mon. Not. R. Astron. Soc. 183, 765 (1978).
7. J. Katz, Mon. Not. R. Astron. Soc. 189, 817 (1979).
8. T. Padmanabhan, Astrophys. J., Suppl. Ser. 71, 651 (1989).
9. T. Padmanabhan, Phys. Rep. 188, 285 (1990).
10. F. Bavaud, Rev. Mod. Phys. 63, 129 (1991).
11. M. K.-H. Kiessling, J. Stat. Phys. 55, 203 (1989).
12. P. Hertel and W. Thirring, Ann. Phys. (N.Y.) 63, 520 (1971).
13. D. Lynden-Bell and R. M. Lynden-Bell, Mon. Not. R. Astron. Soc. 181, 405 (1977).
14. M. K.-H. Kiessling, B. Stahl, and K. Schindler, Planet. Space Sci. 43, 271 (1995).
15. B. N. Miller and P. Youngkins, Phys. Rev. Lett. 81, 4794 (1998).
16. A. S. Eddington, Mon. Not. R. Astron. Soc. 75, 366 (1915).
17. J. E. Gunn and R. F. Griffin, Astron. J. 84, 752 (1979).
18. M. Henon, Mem. Soc. R. Sci. Liege (V) 15, 305 (1967).
19. L. R. Yangurazova and G. S. Bisnovatyi-Kogan, Astrophys. Space Sci. 100, 319 (1984).
20. B. N. Miller and P. Youngkins, Phys. Rev. E 56, R4963 (1997).
21. S. Chandrasekhar, An Introduction to the Theory of Stellar Structure (Dover, New York, 1939).
22. W. H. Press, S. A. Teukolsky, B. P. Flannery, and W. T. Wetterling, Numerical Recipes in C (Cambridge University Press, Cambridge, 1988).
23. I. Prokhorenkov (private communication).
24. A. A. El-Zant, Phys. Rev. E 58, 4152 (1998).