A Comparison Between Bulk Solutions to the Boltzmann Equation and the Spherical Harmonic Model for Silicon Devices

  • A. Majorana
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)


Two models describing charge transport in semiconductors are considered. The first is the Boltzmann transport equation for an electron gas. The other is derived from the previous. It consists of a set of equations, which are equivalent to those obtained from the Boltzmann equation by using the spherical-harmonics expansion of the distribution function. Time-depending solutions of the both models are numerically found and compared.


Boltzmann Equation High Electric Field Boltzmann Transport Equation Silicon Device Kane Model 
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© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • A. Majorana
    • 1
  1. 1.Dipartimento di Matematica e InformaticaUniversity of CataniaItaly

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