THEORY OF TRANSPORT COEFFICIENTS. I. GENERAL THEORY AND ELECTRICAL CONDUCTIVITY OF ELECTRON-PHONON SYSTEM

Abstract

A general method is presented for the calculation of static transport coefficients based on Kubo's formulas. Techniques of perturbation expansion, diagram representation, and linked-cluster expansion are used. As an example, the electrical conductivity of an electron-phonon system is calculated with the natural introduction of irreversibility, following the ideas of Van Hove, (Physica 21:517, 1955; 23:441, 1957), PrigogineAND HIS COLLABORATORS (Non-equilibrium Statistical Mechanics, Interscience, New York, 1961; and Physica 22:621, 1956; 25:281, 1959; 25:302, 1959; 26:145, 1960). Under certain conditions the present method is shown to be equivalent to the conventional method by means of the Boltzmann equation. These conditions are examined and the improvement of the appnoximation is discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1960
Accession Number
AD0254598

Entities

People

  • R. Abe
  • S. Fujita

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Coefficients
  • Conductivity
  • Electrical Conductivity
  • Electrons
  • Equations
  • Mathematics
  • Mechanics
  • New York
  • Perturbations
  • Statistical Mechanics
  • Transport Ships

Readers

  • Calculus or Mathematical Analysis
  • Thin Film Deposition Science.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene