Virial theorem for rotating self-gravitating Brownian particles and two-dimensional point vortices
Statistical Mechanics
2015-05-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0902.0287,
title = {Virial theorem for rotating self-gravitating Brownian particles and two-dimensional point vortices},
author = {Pierre-Henri Chavanis},
journal= {arXiv preprint arXiv:0902.0287},
year = {2015}
}