Numerical approximation of a quantum drift-diffusion model

DOI10.1016/j.crma.2004.07.022zbMath1058.65089OpenAlexW2056593987MaRDI QIDQ704272

Florian Méhats, Samy Gallego

Publication date: 13 January 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.07.022

zbMATH Keywords

finite difference methodnumerical examplescharge conservationconvex minimization problemquantum drift-diffusion modeldissipation of an entropypositivity of the density

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40)

Related Items

On quantum extensions to classical spherical harmonics expansion/Fokker-Planck models, An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes, Hybrid coupling of a one-dimensional energy-transport Schrödinger system, Derivation of isothermal quantum fluid equations with Fermi-Dirac and Bose-Einstein statistics, Quantum energy-transport and drift-diffusion models, Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals

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