Nonlinear diffusion of fermions and bosons
High Energy Physics - Phenomenology
2022-11-28 v1 Atomic Physics
Abstract
A nonlinear diffusion equation is proposed to account for thermalization in fermionic and bosonic systems through analytical solutions. For constant transport coefficients, exact time-dependent solutions are derived through nonlinear transformations, and the corresponding local equilibration times are deduced. Fermi-Dirac and Bose-Einstein distributions emerge as stationary solutions of the nonlinear equation. As examples, local thermalization of quarks and gluons in relativistic heavy-ion collisions, and of ultracold atoms including time-dependent Bose-Einstein condensate formation are discussed.
Cite
@article{arxiv.2211.05498,
title = {Nonlinear diffusion of fermions and bosons},
author = {Georg Wolschin},
journal= {arXiv preprint arXiv:2211.05498},
year = {2022}
}
Comments
5 pages, 4 figures