Details

Autor(en) / Beteiligte

• Jüngel, Ansgar

Titel

Diffusive Higher-Order Moment Equations

Ist Teil von

• Transport Equations for Semiconductors, p.1-24

Ort / Verlag

Berlin, Heidelberg: Springer Berlin Heidelberg

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The drift-diffusion and energy-transport equations of Chaps. 5 and 6 are derived from the Boltzmann equation by considering the moments\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ n = \int_B F\frac{\mathrm{d} k}{4\pi^3}, \quad ne = \int_B F E(k)\frac{\mathrm{d}k}{4\pi^3},$\end{document}where F is the distribution function. We have already indicated in Sect. 2.4 that this strategy can be generalized. In this chapter, we detail the derivation of a hierarchy of diffusive moment models.