Accession Number : AD0749300

Title :   Electrical Conductivity in Disordered Systems,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE CENTER FOR MATERIALS SCIENCE AND ENGINEERING

Personal Author(s) : Adler,David ; Flora,Laurence P. ; Senturia,Stephen D.

Report Date : 1972

Pagination or Media Count : 13

Abstract : Results are presented from two- and three-dimensional analog simulations, together with digital solutions, of the bulk conductivity of a heterogeneous lattice as a function of the fraction of conducting nodes, p. The conductivity in three dimensions is proportional to (P- P sub C) squared over the entire range P sub C <or=P <or=1, where P sub C is the percolation threshold. With this result, it is shown that the temperature dependence of electrical conductivity of a disordered system is very similar to the T to the minus 1/4th power behavior observed over limited temperature ranges, and often ascribed to phonon-assisted hopping. (Author)

Descriptors :   (*SEMICONDUCTORS, BAND THEORY OF SOLIDS), (*ELECTRICAL CONDUCTIVITY, SIMULATION), CARBON RESISTORS, MATHEMATICAL ANALYSIS

Subject Categories : Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE