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Equilibration in fermionic systems

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arxiv 1806.04044 v2 pith:TBDJDLC4 submitted 2018-06-11 cond-mat.stat-mech hep-ph

Equilibration in fermionic systems

classification cond-mat.stat-mech hep-ph
keywords systemsenergiesequationfermionicsolutionsabundantanalyticalantiparticle
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Equilibrium state of a Fermi system in the diffusion approximation of kinetic theory

    nucl-th 2026-06 unverdicted novelty 4.0

    Transforms diffusion equation in kinetic theory for Fermi systems to energy space under constant single-particle level density, showing temperature equivalence and modification of distribution from energy-dependent co...