This article is cited in 2 papers

Study of the instabilities of collisionless systems on the basis of stochastic trajectories

V. A. Vshivkov^a, S. A. Nikitin^b, V. N. Snytnikov<sup>c

a</sup> Institute of Computing Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b G I. Budker Institute of Nuclear Physics, Siberian Branch of Russian Academy of Sciences, Novosibirsk
^c Novosibirsk State University

Abstract: We propose a practical method for distinguishing stochastic and regular subsystems in the entire set of particles for numerical modeling of the development of physical instabilities in collisionless systems with self-consistent fields. The method of subdividing the phase space into subsystems is based on the comparison of the results of two computational experiments with identical initial conditions but different realizations of rounding errors. An example of establishing the spatial and temporal domains of the development of collective instability and determining the instability increments is offered by a gravitating disk.

PACS: 01.30.Vv, 96.35.-j

Received: 28.05.2003
Revised: 11.08.2003

 English version: Journal of Experimental and Theoretical Physics Letters, 2003, 78:6, 358–362

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