Equilibration in fermionic systems

• Verfasst von: Bartsch, Thomas [VerfasserIn]
• Verfasst von: Wolschin, Georg [VerfasserIn]
• Titel: Equilibration in fermionic systems
• Verf.angabe: T. Bartsch, G. Wolschin
• Jahr: 2019
• Jahr des Originals: 2018
• Umfang: 16 S.
• Fussnoten: Available online 8 November 2018 ; Gesehen am 05.02.2019
• Titel Quelle: Enthalten in: Annals of physics
• Ort Quelle: Amsterdam [u.a.] : Elsevier, 1957
• Jahr Quelle: 2019
• Band/Heft Quelle: 400(2019), Seite 21-36
• DOI: doi:10.1016/j.aop.2018.11.001
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Nonlinear diffusion
• Sach-SW: Fermionic systems
• Sach-SW: Nonequilibrium-statistical models
• Sach-SW: Quantum statistical mechanics
• K10plus-PPN: 1586375415

Abstract

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.