We derive a quantum-corrected hydrodynamic and drift-diffusion model for the out-of-equilibrium particle dynamics in the presence of particle collisions, modeled by a BGK collision term. The quantum mechanical corrections are obtained within the Liouville formalism and are expressed by an effective nonlinear force. The Boltzmann and FermiDirac statistics are included.
Hydrodynamic Models with Quantum Corrections / Alì, Giuseppe; Morandi, Omar. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - STAMPA. - 132:(2014), pp. 3-14. [10.1007/s10440-014-9887-y]
Hydrodynamic Models with Quantum Corrections
MORANDI, OMAR
2014
Abstract
We derive a quantum-corrected hydrodynamic and drift-diffusion model for the out-of-equilibrium particle dynamics in the presence of particle collisions, modeled by a BGK collision term. The quantum mechanical corrections are obtained within the Liouville formalism and are expressed by an effective nonlinear force. The Boltzmann and FermiDirac statistics are included.
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