THE RANDOM FIELD PROBLEM: PERTURBATIONS AT A LATTICE SITE DUE TO RANDOMLY DISTRIBUTED IMPURITIES.

Abstract

The problem of computing the field or other perturbation at a lattice site due to a random collection of impurity centers is considered. The Fourier transform of the field probability density is shown to be of the form exp(-n bar psi(t)), where n bar is the average concentration of impurities and psi(t) is an integral that is a function of the individual center-impurity interactions. The Fourier transform is used to calculate numerous quantities that are functions of the random field. Emphasis is placed on computing luminescent decay forms and the energy transfer probability from one center to surrounding acceptors, but the application of these calculations to the evaluation of other quantities (e.g., partition functions) is also considered. Graphs of some of the computed functions are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 17, 1969
Accession Number
AD0686467

Entities

People

  • Steven W. Duckett.

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Energy
  • Energy Transfer
  • Impurities
  • Integrals
  • Mathematics
  • Perturbations
  • Probability

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Statistical inference.