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Boltzmann collision kernels and velocity saturation in semiconductors

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  • Dalitz, Christoph

Abstract

For different models of the electron-phonon interaction, the asymptotic behaviour of the moments of the stationary homogeneous solution of the linear Boltzmann equation is determined in the limit of a high external field. For Hilbert-Schmidt kernels of a finite rank, a result recently proven for kernels of rank one is found generally valid; as a consequence velocity saturation is excluded for these collision models. For a class of singular collision kernels in contrast, velocity saturation is generally obtained.

Suggested Citation

  • Dalitz, Christoph, 1997. "Boltzmann collision kernels and velocity saturation in semiconductors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 187-198.
    • Handle: RePEc:eee:phsmap:v:246:y:1997:i:1:p:187-198
    DOI: 10.1016/S0378-4371(97)00334-8
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    1. Susumu Watanabe, 1954. "Business Accounting and Tax Accounting," Kobe Economic & Business Review, Research Institute for Economics & Business Administration, Kobe University, vol. 2, pages 109-117.
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    Keywords

    Boltzmann equation; Velocity saturation;

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