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Dynamical Transport Theories versus Semi‐Classical Solutions of the Boltzmann Kinetic Equation
Author(s) -
Farvacque J.L.
Publication year - 1994
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.2221810119
Subject(s) - boltzmann equation , kinetic theory , relaxation (psychology) , statistical physics , limit (mathematics) , boltzmann constant , coherence (philosophical gambling strategy) , physics , scattering , field (mathematics) , kinetic energy , classical mechanics , quantum mechanics , mathematics , mathematical analysis , theoretical physics , psychology , social psychology , pure mathematics
In 1989, a dynamical transport theory was proposed. This theory is based on the use of the dielectric properties of materials. However, mistakes are made in the derivation, making this method far from being able to include as a coherent limit the classical solution of the relaxation time approximation of the Boltzmann kinetic equation. A corrected version of this theory is presented. Potentialities of this theory versus the classical relaxation time approach are pointed out (screening effects, local field effects, carrier‐carrier scattering, galvanomagnetic effects of second order, etc.). Finally, the coherence between our method and the relaxation time solution is shown as soon as classical approximations are used.