Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-03-28
Physics
Condensed Matter
Statistical Mechanics
26 pages, LaTex, 9 figures (postscript) included in the text
Scientific paper
A set of equations is derived from the Boltzmann kinetic equation describing charge transport in semiconductors. The unknowns of these equations depend on the space-time coordinates and the electron energy. The non-parabolic and parabolic band approximation are treated in detail. In these cases, the set of equations is equivalent to those obtained in the spherical-harmonics expansion. Stationary and homogeneous solutions are explicitly treated. In order to solve numerically the equations, a cut in the energy range is introduced. The modified model maintains the physical characteristics of the original equations. The solution of an asymptotic equation is found and compared to the numerical solutions.
Liotta S. F.
Majorana Armando
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