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Spherical harmonics expansion of the Vlasov‐Poisson initial boundary value problem
Author(s) -
Dogbe C.
Publication year - 2006
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410244
Subject(s) - solid harmonics , spin weighted spherical harmonics , spherical harmonics , harmonics , boundary value problem , vector spherical harmonics , zonal spherical harmonics , physics , poisson's equation , mathematical analysis , kinetic energy , diffusion , tensor (intrinsic definition) , classical mechanics , vlasov equation , electron , mathematics , quantum mechanics , geometry , voltage
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.