Collective relaxation of stellar systems revisited
V.G. Gurzadyan, A.A. Kocharyan
TL;DR
This paper investigates chaos and collective relaxation in stellar systems using dynamical systems theory and stochastic differential equations, confirming exponential instability and estimating relaxation timescales.
Contribution
It revisits the collective relaxation process in stellar systems with a new approach, confirming known exponential instability and providing an estimate for relaxation times.
Findings
Confirmed exponential instability in spherical N-body systems
Estimated the characteristic timescale of chaos and relaxation
Validated the collective relaxation time using the Maupertuis principle
Abstract
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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