Boltzmann collision kernels and velocity saturation in semiconductors

Christoph Dalitz

Physica A: Statistical Mechanics and its Applications, 1997, vol. 246, issue 1, 187-198

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.

Keywords: Boltzmann equation; Velocity saturation (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:246:y:1997:i:1:p:187-198

DOI: 10.1016/S0378-4371(97)00334-8

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