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Solution of the Boltzmann Equation Without the Relaxation Time Approximation

Published

Author(s)

David R. Penn, Mark D. Stiles

Abstract

A method is presented for solving the spatially varying Boltzmann equation without the relaxation time approximation. The solution is compared with that obtained using the relaxation time approximation for free electron solids in the presence of boundaries. For the cases studied, most of the differences can be minimized by using the transport relaxation time. For non-free electron materials it is expected that the differences will be more complex.
Citation
Physical Review B (Condensed Matter and Materials Physics)
Volume
59
Issue
20

Keywords

approximation, Boltzmann equation, electrical conductivity, giant magnetoresistance, impurity scattering, relaxation time, transport

Citation

Penn, D. and Stiles, M. (1999), Solution of the Boltzmann Equation Without the Relaxation Time Approximation, Physical Review B (Condensed Matter and Materials Physics) (Accessed February 25, 2024)
Created May 15, 1999, Updated June 2, 2021