Chavanis, P. H. - In: The European Physical Journal B - Condensed Matter and … 57 (2007) 4, pp. 391-409
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<Subscript>c</Subscript> at which...</subscript>