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arXiv math/05111032005-11-04math.NAcs.NA

Vlasov-Poisson初边值问题的球谐展开

Spherical Harmonics Expansion of the Vlasov-Poisson initial bounary value problem

Christian Dogbe

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AI总结：

本文推导并分析了耦合能量的球谐展开（SHE）型方程组，证明了在长时间和大距离尺度上的扩散行为，并确定了扩散张量。

摘要：

我们推导并分析了耦合能量的‘SHE’（球谐展开）型方程组。我们还证明了在长时间和大距离尺度上出现扩散行为，并确定了扩散张量。该分析基于半导体中电子输运的动力学方程。

英文摘要：

We derive and analyze the ‘SHE' (Spherical Harmonics Expansion) type system of equations coupled in energy. We also show that diffusive behavior occurs on long time and distance scales and we determine the diffusion tensor. The analysis is based on the governing kinetic equations arising in electron transport in semiconductors<br> ----- Nous déduisons et analysons le modèle Spherical Harmonics Expansion (SHE) genéralisant le modele de Dérive Diffusion (DD) en ce qu'il décrit le comportement d'un nuage de particules en fonction du temps, de la position et d'une variable d''energie (alors que les modèles du type DD ne prennent pas en compte l''energie des particules. Nous prouvons galement que le comportement diffusif se produit sur de longues échelles de temps et de distance et nous déterminons le tenseur de diffusion. L'analyse est basée sur les équations cinétiques intervenant dans le transport d'électron en semi-conducteurs.

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