Nonlinear diffusion of fermions and bosons
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 a...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
21 November 2022
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| In: |
epl
Year: 2022, Volume: 140, Issue: 4, Pages: 1-7 |
| ISSN: | 1286-4854 |
| DOI: | 10.1209/0295-5075/aca17a |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1209/0295-5075/aca17a Verlag, lizenzpflichtig, Volltext: https://dx.doi.org/10.1209/0295-5075/aca17a 
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| Author Notes: | Georg Wolschin |
| Summary: | 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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| Item Description: | Gesehen am 12.01.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1286-4854 |
| DOI: | 10.1209/0295-5075/aca17a |