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Volume 12, Issue 2
1 February 1993
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering Cover Image for Volume 12, Issue 2
Review Article| February 01 1993

CHARACTERISTICS METHOD FOR SOLVING THE SPATIALLY INHOMOGENEOUS BOLTZMANN EQUATION Available to Purchase

B.J. GEURTS
B.J. GEURTS
Department of Applied Mathematics, University of Twente, PO Box 217, 7S00‐AE Enschede, The Netherlands
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Author & Article Information
Publisher: Emerald Publishing
Online ISSN: 2054-5606
Print ISSN: 0332-1649
© MCB UP Limited
1993
COMPEL (1993) 12 (2): 125–141.
https://doi.org/10.1108/eb010118

A new algorithm for the inhomogeneous Boltzmann equation in one spatial and velocity dimension, based on the method of characteristics, is presented. Using the analytic solution to the Boltzmann equation along its characteristics, the solution to the classical transport problem in semiconducting structures within the relaxation time approximation for the collision integral is obtained iteratively. An n+nn+‐diode is studied numerically and the effects of ballastic electrons on low‐order moments are investigated.

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© MCB UP Limited
1993
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