Abstract
Long time behavior of one-dimensional self-gravitating system is numerically investigated. Itinerant behavior among quasiequilibria is discovered, and its origin is clarified. The macroscopic distributions of the quasiquilibria are different from the isothermal distribution, but the transient states, which appears between two successive quasiequilibria, resemble the isothermal distribution. Averaging over the is itinerancy gives approximately the thermal equilibrium.
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Benettin, G., Froeschlé, C. and Scheidecker, J.P.: 1979, Phys. Rev. A 19, 2454.
Camm, G.: 1950, Mon. Not. R. Astron. Soc. 110, 305.
Chandrasekhar, S.: 1942, Principles of Stellar Dynamics, University of Chicago Press, Chicago.
de Zeeuw, T. and Franx, M.: 1991, Annu. Rev. Astron. Astrophys. 29, 239.
Fermi, E., Pasta, J.R. and Ulam, S.: 1965, In: Collected Works of Enrico Fermi, Volume 2, page 978. University of Chicago Press, Chicago.
Fridman, A.M. and Polyachenko, V.: 1984, Physics of Gravitating Systems, Springer-Verlag, New York.
Froeschlé, C. and Scheidecker, J.-P.: 1975, Phys. Rev. A 12, 2137.
Funato, Y., Makino, J. and Ebisuzaki, T.: 1992, Publ. Astron. Soc. Jpn. 44, 291.
Hirooka, H. and Saito, N.: 1969, J. Phys. Soc. Jpn. 26, 624.
Ikeda, K., Matsumoto, K. and Ohtsuka, K.: 1989, Prog. Theor. Phys. Suppl. 99, 295.
Kandrup, H.E., Mahon, M.E. and Haywood Smith, J.: 1994, Astrophys. J. 458, 458.
Konishi, T. and Kaneko, K.: 1992, J. Phys. A: Math. Gen. 25, 6283.
Lichtenberg, A.J. and Lieberman, M.A.: 1992, Regular and Chaotic Dynamics, Springer-Verlag, New York.
Lynden-Bell, D.: 1967, Mon. Not. R. Astron. Soc., 136, 101.
Milanović, Lj., Posch, H.A. and Thirring, W.: 1998, Phys. Rev. E 57, 2763.
Miller, B.N. and Reidl Jr., C.J.: 1990, Astrophys. J. 348, 203.
Miller, B.N.: 1996, Phys. Rev. E 53, R4279.
Ohmine, I. and Sasai, M.: 1991, Prog. Theor. Phys. Suppl. 103, 61.
Oort, J.H.: 1932, Bull. Astr. Inst. Netherlands 6, 289.
Reidl Jr., C.J. and Miller, B.N.: 1992, Phys. Rev. A 46, 837.
Reidl Jr., C.J. and Miller, B.N.: 1993, Phys. Rev. E 48, 4250.
Reidl Jr., C.J. and Miller, B.N.: 1995, Phys. Rev. E 51, 884.
Rouet, J.-L. and Feix, M.R.: 1998, The Acte of a Colloquium, in press.
Rybicki, G.B.: 1971, Astrophys. Space Sci. 14, 56.
Saito, N., Ooyama, N., Aizawa, Y. and Hirooka, H.: 1970, Prog. Theor. Suppl. 45, 209.
Severne, G. and Luwel, M.: 1986, Astrophys. Space Sci. 122, 299.
Tsuchiya, T., Gouda, N. and Konishi, T.: 1996, Phys. Rev. E 53, 2210.
Tsuchiya, T., Konishi, T. and Gouda, N.: 1994, Phys. Rev. E 50, 2607.
Tsuda, I.: 1990, Neurocomputers and attention, eds. A.V. Holden and V.I. Kryukov, Manchester Univ. Press.
Yamashiro, T., Gouda, N. and Sakagami, M.: 1992, Prog. Theor. Phys. 88, 269.
Yawn, K.R. and Miller, B.N.: 1997a, Phys. Rev. E 56, 2429.
Yawn, K.R. and Miller, B.N.: 1997b, Phys. Rev. Lett. 79, 3561.
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Tsuchiya, T., Gouda, N. & Konishi, T. Chaotic Itinerancy and Thermalization in a One-Dimensional Self-Gravitating System. Astrophysics and Space Science 257, 319–341 (1997). https://doi.org/10.1023/A:1001563025692
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DOI: https://doi.org/10.1023/A:1001563025692