Quantum High-Field Corrections to a Drift-Collision Balance Model of Semiconductor Transport
Autor: | Chiara Manzini, G. Borgioli, Giovanni Frosali |
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Rok vydání: | 2008 |
Předmět: |
Physics
Advection Applied Mathematics Quantum dynamics General Physics and Astronomy Transportation Statistical and Nonlinear Physics Electron Nonlinear Sciences::Cellular Automata and Lattice Gases Physics::Fluid Dynamics Moment (mathematics) Quantum electrodynamics Master equation Method of quantum characteristics Quantum dissipation Quantum Mathematical Physics |
Zdroj: | Transport Theory and Statistical Physics. 37:381-411 |
ISSN: | 1532-2424 0041-1450 |
DOI: | 10.1080/00411450802526293 |
Popis: | We derive a fluid-dynamical model describing electron transport in quantum, high-field regime. In the high-field regime, quantum advection and collisions are comparable and dominant. In this article, high-field regime is modeled starting from Wigner-BGK (Bhatnager-Gross-Krook) equation scaled with an asymptotic parameter ϵ. By applying Chapman-Enskog procedure and then moment methods, we obtain a system of equations with unknown electron position density, fluid velocity, and energy density. Diffusive and quantum terms appear as first-order corrections in ϵ. |
Databáze: | OpenAIRE |
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