Statistical mechanics and computer simulation of systems with attractive positive power-law potentials

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

Volumn 57, Issue 3, 1998, Pages 2763-2775

  Milanovic L ^a   Posch, H A ^a   Thirring, W ^b  

^a INSTITUT FÜR EXPERIMENTALPHYSIK   (Austria)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000698022     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.2763     Document Type: Article

References (37)

1. W. Braun and K. Hepp, Commun. Math. Phys. 56, 101 (1977).CMPHAY
2. J.H. Oort, Bull. Astron. Inst. Netherlands 6, 289 (1932).BAINAO
3. G. L. Camm, Mon. Not. R. Astron. Soc. 110, 305 (1950).MNRAA4
4. O. C. Eldrige and M. Feix, Phys. Fluids 6, 398 (1963).PFLDAS
5. M. Luwel and G. Severne, Astron. Astrophys. 152, 305 (1985).AAEJAF
6. G. Severne and M. Luwel, Astrophys. Space Sci. 122, 299 (1986).APSSBE
7. C. J. Reidl, Jr. and B. N. Miller, Phys. Rev. E 48, 4250 (1993).PLEEE8
8. K. R. Yawn, B. N. Miller, and W. Maier, Phys. Rev. E 52, 3390 (1995).PLEEE8
9. K. R. Yawn and B. N. Miller, Phys. Rev. E 56, 2429 (1997).PLEEE8
10. F. Hohl and D. T. Broaddus, Phys. Lett. 25A, 713 (1967).PYLAAG
11. F. Hohl and M. R. Feix, Astrophys. J. 167, 1166 (1967).ASJOAB
12. H. L. Wright, B. N. Miller, and W. E. Stein, Astrophys. Space Sci. 84, 421 (1982).APSSBE
13. H. L. Wright and B. N. Miller, Phys. Rev. A 29, 1411 (1984).PLRAAN
14. C. J. Reidl, Jr. and B. N. Miller, Phys. Rev. A 46, 837 (1992).PLRAAN
15. T. Tsuchiya, T. Konishi, and N. Gouda, Phys. Rev. E 50, 2607 (1994).PLEEE8
16. T. Tsuchiya, N. Gouda, and T. Konishi, Phys. Rev. E 53, 2210 (1996).PLEEE8
17. K. R. Yawn and B. N. Miller, Phys. Rev. Lett. 79, 3561 (1997).PRLTAO
18. Ch. Dellago and H. A. Posch, Phys. Rev. E 55, R9 (1997).PLEEE8
19. N. S. Krylov, in Works on the Foundation of Statistical Mechanics, edited by A. S. Wightman and P. W. Anderson (Princeton University Press, Princeton, 1979); Ya. G. Sinai. p. 239.
20. Ja. B. Pesin, Sov. Math, Dokl. 17, 196 (1976).
21. G. Benettin, C. Froeschle, and J. P. Scheidecker, Phys. Rev. A 19, 2454 (1979).PLRAAN
22. G. B. Rybicki, Astrophys. Space Sci. 14, 56 (1971).APSSBE
23. M. Hénon, Astron. Astrophys. 114, 211 (1983).AAEJAF
24. P. Debye and E. Hückel, Phys. Z. 24, 185 (1923).PHZTAO
25. R. Balescu, Statistical Mechanics of Charged Particles (Interscience Publishers, London, 1963).
26. J. Binney and S. Tremaine, Galactic Dynamics (Princeton University Press, Princeton, 1987).
27. H. A. Posch, H. Narnhofer, and W. Thirring, Phys. Rev. A 42, 1880 (1990).PLRAAN
28. G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Meccanica 15, 9 (1980).MECCB9
29. I. Shimada and T. Nagashima, Prog. Theor. Phys. 61, 1605 (1979).PTPKAV
30. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physica D 16, 285 (1985).PDNPDT
31. Lj. Milanović, H. A. Posch, and W. Thirring (unpublished).
32. V. I. Oseledec, Trans. Moscow Math. Soc. 19, 197 (1968).
33. K. H. Prendergast, Astron. J. 59, 260 (1954).ANJOAA
34. M. Luwel, G. Severne, and P. J. Rousseeuw, Astrophys. Space Sci. 100, 261 (1984).APSSBE
35. C. J. Reidl, Jr. and B. N. Miller, Astrophys. J. 332, 619 (1988).ASJOAB
36. C. W. Gear, Numerical Initial Value Problems in Ordinary Differential Equations (Prentice-Hall, Englewood Cliffs, 1971).
37. Y. G. Sinai, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 1137 (1996). IJBEE4