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The effective stochastization time in stellar systems

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Abstract

Stochastization in stellar systems is analyzed in the framework of the paradigm of Krylov and Gurzadyan-Savvidi. The use of a Holtsmark distribution for the random forces with a Rastorguev-Sementsov cutoff confirms that τ e /τ c ∝ N 1/5, where τ c is the crossing time, τ e is the effective stochastization time, and N is the number of stars. More oblate systems evolve more rapidly, and rotation slows stochastization. The need for a cutoff does not arise if a Petrovskaya distribution is adopted for the random forces (although applying a cutoff does not change the results). In this case, τ e /τ c varies with N approximately as N 0.3. It is found theoretically that τ e /τ c ∝ N 1/3/(lnN)1/2 for large N. Thus, the evolutionary scale found is close to that proposed earlier by Genkin.

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  1. St. Petersburg State University, St. Petersburg, Russia

    D. V. Ovod & L. P. Ossipkov

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  2. L. P. Ossipkov
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Original Russian Text © D.V. Ovod, L.P. Ossipkov, 2014, published in Astronomicheskii Zhurnal, 2014, Vol. 91, No. 10, pp. 846–856.

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Ovod, D.V., Ossipkov, L.P. The effective stochastization time in stellar systems. Astron. Rep. 58, 746–755 (2014). https://doi.org/10.1134/S1063772914100102

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