Solution of the Boltzmann Equation Without the Relaxation Time Approximation
David R. Penn, Mark D. Stiles
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.
Physical Review B (Condensed Matter and Materials Physics)
approximation, Boltzmann equation, electrical conductivity, giant magnetoresistance, impurity scattering, relaxation time, transport