Self-Similar Approach to Violent Relaxation

Details Self-Similar Approach to Violent Relaxation Self-Similar Approach to Violent Relaxation

1996-12-02

arxiv.org/abs/astro-ph/9612023v1

Astronomy and Astrophysics

Astrophysics

5 pages, 2 postscript figures in compressed format, submitted to Physical Review Letters

Scientific paper

We consider the evolution of an initially cold, spherically symmetric system of self-gravitating particles. At early times the system undergoes self-similar collapse of the type described by Fillmore & Goldreich and Bertschinger. This stage of phase mixing soon gives way to a period of violent relaxation driven by an instability in the similarity solution. The onset of violent relaxation is illustrated by numerical simulations and supported by non-linear analysis of the ``scaled'' collisionless Boltzmann and Poisson equations.

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