Accession Number : AD0723597

Title :   Electrons in Random Media,

Corporate Author : NEW MEXICO UNIV ALBUQUERQUE BUREAU OF ENGINEERING RESEARCH

Personal Author(s) : Meirelles,O. C. ; Byatt,W. J.

Report Date : APR 1971

Pagination or Media Count : 88

Abstract : The question of particle transport in solids is discussed, for which there are available both classical and quantum mechanical formulations. In the past, the classical formulation, especially among engineers, has led to a diffusion theory description of particles in solids. It is the contention of this work that such a description is valid only asymptotically and otherwise suffers from serious deficiencies which are discussed. Starting from the Boltzmann equation for the elastic scattering of electrons in solids, it is shown that when the scattering angles are discretized, the logical outcome is not the diffusion equation, but is, rather, a family of first order partial differential equations. This set of equations is then generalized in both one and two dimensions to include absorption and internal sources, and solutions are written down for a number of cases of some physical interest. (Author)

Descriptors :   (*SOLID STATE PHYSICS, DIFFUSION), ELECTRONS, ELASTIC SCATTERING, TRANSMISSION LINES, SEMICONDUCTORS, IMPURITIES, COMPUTER PROGRAMS, WAVE FUNCTIONS, PARTIAL DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, POTENTIAL THEORY

Subject Categories : Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE