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Collision Integrals for Displaced Maxwellian Distribution
Author(s) -
Bløtekjær K.,
Lunde E. B.
Publication year - 1969
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19690350206
Subject(s) - scattering , momentum (technical analysis) , physics , kinetic energy , energy–momentum relation , coupling (piping) , collision , momentum transfer , electron , scattering rate , quantum electrodynamics , classical mechanics , quantum mechanics , materials science , finance , economics , computer security , computer science , metallurgy
The rate by which particles, momentum, and kinetic energy are transferred in collisions is considered for charge carriers with displaced Maxwellian velocity distributions. The collision integrals are expanded in power series of the average momentum and exact expressions are obtained for the general term of the series. The following scattering processes are considered: deformation potential and piezoelectric coupling to acoustical phonons, polar and nonpolar coupling to optical phonons, intervalley scattering, equivalent valley scattering, ionized impurity scattering, and electron‐hole scattering. Exact analytic summation of the series is possible for some processes. It is shown that, to second order in the average momentum, the loss of particles and energy (but not momentum) depends only on the average kinetic energy of the carriers, and not on how the energy is distributed among thermal and drift energy.