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Escape from a Crisis in Fokker-Planck Models

Published online by Cambridge University Press:  12 April 2016

Simon F. Portegies Zwart
Affiliation:
Department of Earth Sciences and Astronomy, College of Arts and Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan
Koji Takahashi
Affiliation:
Department of Earth Sciences and Astronomy, College of Arts and Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan

Abstract

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Recent N-body simulations have shown that there is a serious discrepancy between the results of N-body simulations and the results of Fokker-Planck simulations for the evolution of globular and rich open clusters under the influence of the galactic tidal field. In some cases, the lifetime obtained from Fokker-Planck calculations is more than an order of magnitude smaller than those from N-body simulations. In this paper we show that the principal cause for this discrepancy is an oversimplified treatment of the tidal field used in previous Fokker-Planck simulations. We performed new Fokker-Planck calculations using a more appropriate implementation for the boundary condition of the tidal field. The implementation is only possible with anisotropic Fokker-Planck models, while all previous Fokker-Planck calculations rely on the assumption of isotropy. Our new Fokker-Planck results agree well with N-body results. Comparison of the two types of simulations gives a better understanding of the evolution of such clusters.

Type
Stellar Systems
Copyright
Copyright © Kluwer 1999

References

Aarseth, S.J., Heggie, D.C.: 1998, MNRAS, 297, 794 CrossRefGoogle Scholar
Aarseth, S.J., Henon, M., Wielen, R.: 1974, A&A, 37, 183 Google Scholar
Chernoff, D., Weinberg, M.: 1990, ApJ, 351, 121 Google Scholar
Cohn, H.: 1979,ApJ, 234, 1036 Google Scholar
Fukushige, T., Heggie, D.C.: 1995, MNRAS, 276, 206 Google Scholar
Giersz, M., Heggie, D.C.: 1994a, MNRAS, 268, 257 Google Scholar
Giersz, M., Heggie, D.C.: 1994b, MNRAS, 270, 29 Google Scholar
Giersz, M., Spurzem, R.: 1994, MNRAS, 269, 241 CrossRefGoogle Scholar
Heggie, D.C., Ramamani, :, 1995,.MNRAS, 272, 317 Google Scholar
Heggie, D.C., Giersz, M., Spurzem, R.: Takahashi, K.: 1998, To appear in Highlights of Astronomy Vol. 11, ed. Johannes, Andersen, in press (astro-ph/9711191)Google Scholar
Hut, P.: 1994, IAU 165, in Compact stars in binaries, eds. Paradijs, J. van, den Heuvel, E.P.J. van and Kuulkers, E., Kluwer, p. 377 Google Scholar
Hut, P., Makino, J. McMillan, S.: 1995, ApJ, 443, 93 Google Scholar
Lee, H.M., Ostriker, J.P.: 1987, ApJ, 322, 123 Google Scholar
Makino, J., Aarseth, S.J.: 1992, PASJ, 44, 141 Google Scholar
Makino, J., Taiji, M., Ebisuzaki, T., Sugimoto, D.: 1997, ApJ, 480, 432 Google Scholar
Portegies Zwart, S.F., Verbunt, F.: 1996, A&A, 309, 179 Google Scholar
Portegies Zwart, S.F., Yungelson, L.: 1998, A&A, 332, 173 Google Scholar
Portegies Zwart, S.F., Tout, Ch., Lee, H.M.: 1998a, To appear in Highlights of Astronomy Vol. 11, ed. Johannes, Andersen, in press (astro-ph/9710209)Google Scholar
Portegies Zwart, S.F., Hut, P., Makino, J. and McMillan, S.L.W.: 1998b, A&A, 337, 363 Google Scholar
Spurzem, R., Takahashi, K.: 1995, MNRAS, 272, 772 Google Scholar
Takahashi, K.: 1995, PASJ, 47, 561 Google Scholar
Takahashi, K.: 1997, PASJ, 49, 547 Google Scholar
Takahashi, K., Lee, H.M.,Inagaki, S.: 1997, MNRAS, 292, 331 Google Scholar
Vesperini, E., Heggie, D.C.: 1997, MNRAS, 289, 898 CrossRefGoogle Scholar