Electrical Conductivity in Disordered Systems,

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0749300

Entities

People

  • David Adler
  • Laurence P. Flora
  • Stephen D. Senturia

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Conductivity
  • Electrical Conductivity
  • Percolation
  • Physical Properties
  • Simulations
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Materials Science and Engineering.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Thermal Physics or Thermal Science.