Semiclassical Vlasov and fluid models for an electron gas with spin effects
arXiv:1405.1184 · doi:10.1140/epjd/e2014-50205-5
Abstract
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.
arXiv commentTo appear in the European Physical Journal D, Topical Issue "Theory and Applications of the Vlasov Equation"
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- Short-scale quantum kinetic theory including spin-orbit interactions
- Ultrafast spin current generation in ferromagnetic thin films