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Hydrodynamic Models with Quantum Corrections

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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 Fermi-Dirac statistics are included.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università della Calabria, and INFN-Gruppo c. Cosenza, via P. Bucci cubo 30B, 87036, Rende, Italy

    Giuseppe Alì

  2. Institut de Physique et Chimie des Matériaux de Strasbourg, 23, rue du Loess, 67034, Strasbourg, France

    Omar Morandi

Authors
  1. Giuseppe Alì
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  2. Omar Morandi
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Correspondence to Giuseppe Alì.

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Alì, G., Morandi, O. Hydrodynamic Models with Quantum Corrections. Acta Appl Math 132, 3–14 (2014). https://doi.org/10.1007/s10440-014-9887-y

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  • DOI: https://doi.org/10.1007/s10440-014-9887-y

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