Electrons in Random Media,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1971
- Accession Number
- AD0723597
Entities
People
- O. C. Meirelles
- W. J. Byatt
Organizations
- University of New Mexico