Imperial College London
Alternate

ProfessorPierreDegond

Faculty of Natural Sciences, Department of Mathematics

Visiting Professor
 
 
 
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Contact

 

p.degond Website

 
 
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Location

 

Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Caceres:2003:10.1051/m2an:2003011,
author = {Caceres, MJ and Carrillo, JA and Degond, P},
doi = {10.1051/m2an:2003011},
journal = {ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE},
pages = {(1161--1176)--(1161--1176)},
title = {The Child-Langmuir limit for semiconductors: A numerical validation},
url = {http://dx.doi.org/10.1051/m2an:2003011},
volume = {36},
year = {2003}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The Boltzmann Poisson system modeling the electron flow in semiconductors is used to discuss the validity of the Child-Langmuir asymptotics. The scattering kernel is approximated by a simple relaxation time operator. The Child-Langmuir limit gives an approximation of the current-voltage characteristic curves by means of a scaling procedure in which the ballistic velocity is much larger that the thermal one. We discuss the validity of the Child-Langmuir regime by performing detailed numerical comparisons between the simulation of the Boltzmann Poisson system and the Child-Langmuir equations in test problems.
AU  - Caceres,MJ
AU  - Carrillo,JA
AU  - Degond,P
DO  - 10.1051/m2an:2003011
EP  - 1176
PY  - 2003///
SN  - 0764-583X
SP  - 1161
TI  - The Child-Langmuir limit for semiconductors: A numerical validation
T2  - ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
UR  - http://dx.doi.org/10.1051/m2an:2003011
VL  - 36
ER  -
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