Deterministic particle simulations of the Boltzmann transport equation of semiconductors
type: Item
instance of: scholarly article
title: Deterministic particle simulations of the Boltzmann transport equation of semiconductors
zbMATH Open document ID: 0662.65126
DOI: 10.1016/0021-9991(88)90053-8
author: B. Niclot
author: Pierre Degond
author: F. Poupaud
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: For the simulation of the Boltzmann transport equation of semi- conductors, the authors treat the collision integral in a deterministic way. The paper starts with a general presentation of the kinetic model of semiconductors. The collision operator is simplified by neglecting the Pauli factor. The method is restricted to the homogeneous field case. A brief outline of the numerical analysis of the method is given. This illustrates the numerical tests in the case of relaxation time models, which are expressed in terms of the Maxwell distribution for the lattice temperature. Polar optimal scattering, which describes the collisions between electrons and photons, and its simplified one-dimensional relaxation time model are investigated. The same analysis is performed for the intervalley scattering.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 82C70
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 4082929
zbMATH Keywords: Boltzmann transport equation
zbMATH Keywords: semi-conductors
zbMATH Keywords: collision integral
zbMATH Keywords: collision operator
zbMATH Keywords: relaxation time models
zbMATH Keywords: Maxwell distribution
zbMATH Keywords: lattice temperature
zbMATH Keywords: Polar optimal scattering
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90053-8
OpenAlex ID: W2009343957
cites work: A deterministic particle method for the linearized Boltzmann equation
cites work: Approximation of the transport equation by a weighted particle method
cites work: Q3994787
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description: scientific article; zbMATH DE number 4082929