Nonlinear diffusion of fermions and bosons

• Verfasst von: Wolschin, Georg [VerfasserIn]
• Titel: Nonlinear diffusion of fermions and bosons
• Verf.angabe: Georg Wolschin
• E-Jahr: 2022
• Jahr: 21 November 2022
• Umfang: 7 S.
• Fussnoten: Gesehen am 12.01.2023
• Titel Quelle: Enthalten in: epl
• Ort Quelle: Les Ulis : EDP Sciences, 1986
• Jahr Quelle: 2022
• Band/Heft Quelle: 140(2022), 4, Artikel-ID 40002, Seite 1-7
• ISSN Quelle: 1286-4854
• DOI: doi:10.1209/0295-5075/aca17a
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1830905244

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.