Boltzmann Collision Kernels and Velocity Saturation in Semiconductors

Details Boltzmann Collision Kernels and Velocity Saturation in Semiconductors Boltzmann Collision Kernels and Velocity Saturation in Semiconductors

1997-02-06

arxiv.org/abs/cond-mat/9702062v1

Physics

Condensed Matter

12 pages in LaTex, no figure, submitted to Physica A

Scientific paper

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.

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