On the Child-Langmuir Law for Semiconductors

  • N. Ben Abdallah
  • P. Degond
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 59)


The design of many high technology components in solid-state electronics, in vacuum diode technology or in high power hyperfrequency amplification requires an accurate description of charged-particle transport. Among all the possible models, the Vlasov or the Boltzmann equations, coupled with the Poisson or Maxwell equations for the fields, provide the most accurate description of the physics of charged — particle transport. The numerical simulation of these models is an important tool for the designers.


Boltzmann Equation Collision Operator Doping Density Singular Perturbation Problem Secondary Characteristic 
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Copyright information

© Springer-Verlag New York, Inc. 1994

Authors and Affiliations

  • N. Ben Abdallah
    • 1
  • P. Degond
    • 1
  1. 1.Centre de Mathematique et Leurs ApplicationsENS-CachanCachan CedexFrance

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