Accession Number : AD0621265

Title :   USE OF THE VARIATIONAL APPROACH TO DETERMINE BOUNDS FOR THE EFFECTIVE PERMITTIVITY IN RANDOM MEDIA,

Corporate Author : PENNSYLVANIA UNIV PHILADELPHIA TOWNE SCHOOL OF CIVIL AND MECHANICAL ENGINEERING

Personal Author(s) : Beran,M.

Report Date : 28 SEP 1964

Pagination or Media Count : 12

Abstract : Bounds are derived for the effective permittivity, e*, using two standard variational principles. The principles are expressed in terms of the electric field, E and the electric displacement, D, respectively. As trial functions perturbation expansions are used for E and D that have been modified by the inclusion of a set of multiplicative constants. The first-order perturbation effect is calculated explicitly and the bounds for e* are found in terms of expressions involving third-order correlation functions. In the limit of small perturbations the bounds coincide and yield the result obtained by previous investigators. (Author)

Descriptors :   (*DIELECTRIC PROPERTIES, CALCULUS OF VARIATIONS), ELECTRIC FIELDS, PERTURBATION THEORY, INTEGRALS, STATISTICAL FUNCTIONS, SERIES(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE