Equilibration in fermionic systems

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.

31 pages, 7 figures

References in corpus (3)

• Onset of hydrodynamics for a quark-gluon plasma from the evolution of moments of distribution functions
• Equilibration in finite Bose systems
• Beyond the thermal model in relativistic heavy-ion collisions

Cited by in corpus (7)

• Solving a nonlinear analytical model for bosonic equilibration
• Aspects of relativistic heavy-ion collisions
• Local equilibration of fermions and bosons
• Nonlinear diffusion of fermions and bosons
• Nonlinear diffusion of gluons
• Exact solution of the nonlinear boson diffusion equation for gluon scattering
• Properties of the diffusion and drift kinetic coefficients in momentum space for a cold Fermi system