ABSTRACT. 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 epsilon. 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 epsilon. Keywords: Quantum hydrodynamic models, Wigner transport equation, Chapman-Enskog expansion, High-field asymptotics.
Quantum high-field corrections to a drift-collision balance model of semiconductor transport / G. BORGIOLI; G. FROSALI; C. MANZINI. - In: TRANSPORT THEORY AND STATISTICAL PHYSICS. - ISSN 0041-1450. - STAMPA. - 37(5):(2008), pp. 381-411. [10.1080/00411450802526293]
Quantum high-field corrections to a drift-collision balance model of semiconductor transport
BORGIOLI, GIOVANNI;FROSALI, GIOVANNI;MANZINI, CHIARA
2008
Abstract
ABSTRACT. 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 epsilon. 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 epsilon. Keywords: Quantum hydrodynamic models, Wigner transport equation, Chapman-Enskog expansion, High-field asymptotics.File | Dimensione | Formato | |
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