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 coefficients.
Equilibration in fermionic systems
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abstract
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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Equilibrium state of a Fermi system in the diffusion approximation of kinetic theory
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 coefficients.