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arXiv 0905.0517astro-ph.GA
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恒星系统的集体弛豫

Collective relaxation of stellar systems revisited

V. G. Gurzadyan, A. A. Kocharyan

摘要:

利用动力系统理论和Van Kampen随机微分方程方法研究了恒星系统中的混沌。证实了已知的球N体引力系统的指数不稳定性(混沌)。的特征时间尺度的不稳定性估计确认集体弛豫时间通过莫佩屠斯原理。

英文摘要:

The chaos in stellar systems is studied using the theory of dynamical systems and the Van Kampen stochastic differential equation approach. The exponential instability (chaos) of spherical N-body gravitating systems, already known previously, is confirmed. The characteristic timescale of that instability is estimated confirming the collective relaxation time obtained by means of the Maupertuis principle.

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