Chavanis, Pierre-Henri - In: Physica A: Statistical Mechanics and its Applications 384 (2007) 2, pp. 392-412
We show that the critical mass Mc=8π of bacterial populations in two dimensions in the chemotactic problem is the counterpart of the critical temperature Tc=GMm/4kB of self-gravitating Brownian particles in two-dimensional gravity. We obtain these critical values by using the Virial theorem or...