Equilibration in fermionic systems
The time evolution of a finite fermion system towards local statistical equilibrium is investigated using analytical solutions of a nonlinear partial differential equation that had been derived earlier from the Boltzmann collision term. The solutions of this fermionic diffusion equation are rederive...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2019
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| In: |
Annals of physics
Year: 2018, Volume: 400, Pages: 21-36 |
| DOI: | 10.1016/j.aop.2018.11.001 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.aop.2018.11.001 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0003491618302860 
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| Author Notes: | T. Bartsch, G. Wolschin |
| Summary: | The time evolution of a finite fermion system towards local statistical equilibrium is investigated using analytical solutions of a nonlinear partial differential equation that had been derived earlier from the Boltzmann collision term. The solutions of this fermionic diffusion equation are rederived in closed form, evaluated exactly for simplified initial conditions, and applied to hadron systems at low energies in the MeV-range, as well as to quark systems at relativistic energies in the TeV-range where antiparticle production is abundant. Conservation laws for particle number including created antiparticles, and for the energy are discussed. |
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| Item Description: | Available online 8 November 2018 Gesehen am 05.02.2019 |
| Physical Description: | Online Resource |
| DOI: | 10.1016/j.aop.2018.11.001 |