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arXiv · 1405.1184

Semiclassical Vlasov and fluid models for an electron gas with spin effects

Jerome Hurst·Omar Morandi·Giovanni Manfredi·Paul-Antoine Hervieux
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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.

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Jerome Hurst, Omar Morandi, Giovanni Manfredi, Paul-Antoine Hervieux. 2014-05-06. Semiclassical Vlasov and fluid models for an electron gas with spin effects. https://doi.org/10.1140/epjd%2Fe2014-50205-5

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