%0 Journal Article
%T Semiclassical Vlasov and fluid models for an electron gas with spin effects
%A Jerome Hurst
%A Omar Morandi
%A Giovanni Manfredi
%A Paul-Antoine Hervieux
%J Physics
%D 2014
%I arXiv
%R 10.1140/epjd/e2014-50205-5
%X We derive a four-component Vlasov equation for a system composed of spin-1/2 fermions (typically electrons). The orbital part of the motion is classical, whereas the spin degrees of freedom are treated in a completely quantum-mechanical way. The corresponding hydrodynamic equations are derived by taking velocity moments of the phase-space distribution function. This hydrodynamic model is closed using a maximum entropy principle in the case of three or four constraints on the fluid moments, both for Maxwell-Boltzmann and Fermi-Dirac statistics.
%U http://arxiv.org/abs/1405.1184v1