Equilibration in fermionic systems

The time evolution of a finite fermion system towards 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 c...

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Bibliographic Details
Main Authors: Bartsch, Thomas (Author) , Wolschin, Georg (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 6 Dec 2018
In: Arxiv

Online Access:Verlag, Volltext: http://arxiv.org/abs/1806.04044
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Author Notes:T. Bartsch, G. Wolschin
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Summary:The time evolution of a finite fermion system towards 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.
Item Description:Gesehen am 22.01.2019
Physical Description:Online Resource