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Stochastization in gravitating systems
Author(s) -
Ovod D.V.,
Ossipkov L.P.
Publication year - 2013
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.201311925
Subject(s) - physics , distribution (mathematics) , rotation (mathematics) , mathematical physics , statistical physics , classical mechanics , geometry , mathematical analysis , mathematics
We discuss the effective stochastization time τ e for gravitating systems in terms of the Krylov and GurzadyanSavvidi paradigm. The truncated Holtsmark distribution for a random force proposed by Rastorguev and Sementsov implies τ e /τ c α N 0.20 , where τ c is the crossing time. We find in the case of the Petrovskaya distribution for a random force τ e /τ c α N k , where k = 0.27–0.31, depending on the oblateness and rotation of the system, and τ e /τ c α N 1/3 /(ln N) 1/2 when N » 1. The latter result agrees with those of Genkin (1969) and Gurzadyan & Kocharyan (2009) (k = 1/3). (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)