Equilibrium Distribution of Heavy Quarks in Fokker-Planck Dynamics

1999/07/07 by D. Brian Walton, Johann Rafelski · 14 citations
Mathematics · Physics and Astronomy · #High-Energy Particle Collisions Research #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy #hep-ph

paper · pdf · doi:10.1103/physrevlett.84.31

published as Phys.Rev.Lett. 84 (2000) 31-34 · 4 pages including 2 figures

arxiv created 1999/07/07 · openalex publication_date 2000/01/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
• Stochastic Processes in Physics and Chemistry

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