Diffusive semiconductor moment equations using Fermi-Dirac statistics

DOI10.1007/s00033-010-0106-zzbMath1276.82063OpenAlexW2157006389MaRDI QIDQ1938454

Stefan Krause, Paola Pietra, Ansgar Jüngel

Publication date: 4 February 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-010-0106-z

zbMATH Keywords

drift-diffusion equationsmoment methodentropy maximizationFermi-Dirac statisticssemiconductor Boltzmann equationenergy-transport equations

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Boltzmann equations (35Q20)

Related Items (5)

Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle ⋮ Energy transport in semiconductor devices ⋮ Energy-transport systems for optical lattices: Derivation, analysis, simulation ⋮ Derivation of isothermal quantum fluid equations with Fermi-Dirac and Bose-Einstein statistics ⋮ On a Nonlinear Parabolic Problem arising in the Quantum Diffusive Description of a Degenerate Fermion Gas

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