Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions

Details Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions

2006-12-05

arxiv.org/abs/cond-mat/0612124v2

Eur. Phys. J. B 57, 391 (2007)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1140/epjb/e2007-00187-2

We derive the exact expression of the diffusion coefficient of a self-gravitating Brownian gas in two dimensions. Our formula generalizes the usual Einstein relation for a free Brownian motion to the context of two-dimensional gravity. We show the existence of a critical temperature T_{c} at which the diffusion coefficient vanishes. For T

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