Ergodic properties and equilibrium of one-dimensional self-gravitating systems

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

Volumn 56, Issue 3, 1997, Pages 2429-2436

  Yawn, Kenneth R ^a   Miller, Bruce N ^a  

^a TEXAS CHRISTIAN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001126964     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.2429     Document Type: Article

References (30)

1. J H. Oort, Bull. Astron. Inst. Netherlands6, 289 (1932).BAINAO
2. G. Camm, Mon. Not. R. Astron. Soc.110, 305 (1950).MNRAA4
3. L. Cohen and M. Lecar, Bull. Astron.3, 213 (1968).BUSTAS
4. S. Cuperman, A. Hartman, and M. Lecar, Astrophys. Space Sci.13, 397 (1971).APSSBE
5. F. Hohl, Ph.D. thesis, College of William and Mary, 1967 (unpublished).
6. M. Luwel, G. Severne, and J. Rousseeuw, Astrophys. Space Sci.100, 261 (1984).APSSBE
7. H L. Wright, B N. Miller, and W E. Stein, Astrophys. Space Sci.84, 421 (1982).APSSBE
8. C. J. Reidl, Jr. and B N. Miller, Astrophys. J.318, 248 (1987).ASJOAB
9. C. J. Reidl, Jr. and B N. Miller, Astrophys. J.332, 616 (1988).ASJOAB
10. C. J. Reidl, Jr. and B N. Miller, Astrophys. J.348, 203 (1990).ASJOAB
11. C. J. Reidl, Jr. and B N. Miller, Astrophys. J.371, 260 (1991).ASJOAB
12. C. J. Reidl, Jr. and B N. Miller, Phys. Rev. A46, 837 (1992).PLRAAN
13. C. J. Reidl, Jr. and B N. Miller, Phys. Rev. E48, 4250 (1994).PLEEE8
14. G. Rybicki, Astrophys. Space Sci.14, 56 (1971).APSSBE
15. T. Tsuchiya, T. Konishi, and N. Gouda, Phys. Rev. E50, 2607 (1994).PLEEE8
16. T. Tsuchiya, T. Konishi, and N. Gouda, Phys. Rev. E53, 2210 (1996).PLEEE8
17. B N. Miller, J. Stat. Phys.61, 291 (1991).JSTPBS
18. K R. Yawn, B N. Miller, and W. Maier, Phys. Rev. E52, 3390 (1995).PLEEE8
19. B N. Miller, Phys. Rev. E53, R4279 (1996).PLEEE8
20. V I. Arnold and A. Avez, Ergodic Problems of Classical Mechanics (Benjamin, New York, 1968).
21. H. Goldstein, Classical Mechanics (Addison-Wesley, Publishing Reading, MA, 1950).
22. M R. Feix and L. Blanchet (private communication).
23. These simulations were conducted by Trushar Sarang as a Westinghouse research project. The figures are used with his permission.
24. P. Levy, Memoir. Sci. Math. Fasc. (Gauthier-Villas, Paris, 1954), p. 126.
25. E. Fermi, J R. Pasta, and S. Ulam, Collected Works of Enrico Fermi (University of Chicago Press, Chicago, 1965), Vol. 2, p. 978.
26. M. Luwel and G. Severn, Astron. Astrophys.152, 305 (1985).AAEJAF
27. G. Benettin, C. Froeschle, and J P. Scheidecker, Phys. Rev. A19, 2454 (1979).PLRAAN
28. C. J. Reidl, Jr. and B N. Miller, Phys. Rev. E51, 884 (1995).PLEEE8
29. H. Wright and B N. Miller, Phys. Rev. A29, 1411 (1984).PLRAAN
30. Lj. Milanović and H. A. Posch (unpublished).