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arXiv · 2211.05498

Nonlinear diffusion of fermions and bosons

Georg Wolschin
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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.

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Georg Wolschin. 2022-11-10. Nonlinear diffusion of fermions and bosons. https://doi.org/10.1209/0295-5075%2Faca17a

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