Equilibrium distribution of heavy quarks in fokker-planck dynamics
We obtain an explicit generalization, within Fokker-Planck dynamics, of Einstein's relation between drag, diffusion, and the equilibrium distribution for a spatially homogeneous system, considering both the transverse and longitudinal diffusion for dimension n>1. We provide a complete characterization of the equilibrium distribution in terms of the drag and diffusion transport coefficients. We apply this analysis to charm quark dynamics in a thermal quark-gluon plasma for the case of collisional equilibration.
Walton
DB
Program in Applied Mathematics, University of Arizona, Tucson, Arizona 85721, USA.
Rafelski
J