Virial theorem for rotating self-gravitating Brownian particles and two-dimensional point vortices

Details Virial theorem for rotating self-gravitating Brownian particles and two-dimensional point vortices Virial theorem for rotating self-gravitating Brownian particles and two-dimensional point vortices

2009-02-02

arxiv.org/abs/0902.0287v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We derive the proper form of Virial theorem for a system of rotating self-gravitating Brownian particles. We show that, in the two-dimensional case, it takes a very simple form that can be used to obtain general results about the dynamics of the system without being required to solve the Smoluchowski-Poisson system explicitly. We also develop the analogy between self-gravitating systems and two-dimensional point vortices and derive a Virial-like relation for the vortex system.

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