| Issue |
EPL
Volume 140, Number 4, November 2022
|
|
|---|---|---|
| Article Number | 40002 | |
| Number of page(s) | 6 | |
| Section | General physics | |
| DOI | https://doi.org/10.1209/0295-5075/aca17a | |
| Published online | 21 November 2022 | |
Nonlinear diffusion of fermions and bosons
Institute for Theoretical Physics, Heidelberg University - Philosophenweg 16, Heidelberg, 69120, Germany
(a) E-mail: wolschin@uni-hd.de (corresponding author)
Received: 30 August 2022
Accepted: 9 November 2022
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.
© 2022 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.