Statistics – Computation
Scientific paper
Sep 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...332..619r&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 332, Sept. 15, 1988, p. 619-636. Research supported by the Robert A. Welch
Statistics
Computation
12
Computational Astrophysics, Computerized Simulation, Gravitation Theory, Gravitational Effects, Dynamical Systems, Periodic Variations, Virial Theorem
Scientific paper
This article concerns the evolution of a self-gravitating, dynamical system in one dimension. It studies the dependence of the relaxation time T on the system population, N. In a previous article the authors investigated the surprising conjecture that T < N (in suitable units) for systems initialized "near" equilibrium. Here the authors consider the dependence of relaxation on a single parameter, the virial ratio for a class (counterstreamed) of initial configurations in μ(x, v) space. Using a technique (dynamic ensemble averaging) new to this problem they find that relaxation to equilibrium does not occur for T < N; for these special states the systems are probably entering a long-lived "quasi-equilibrium" macro-state that mimics thermalization but which, in fact, is not microscopically relaxed.
Miller Bruce N.
Reidl Charles J. Jr.
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