CORRELATION FUNCTION CALCULATION OF THE LATTICE THERMAL CONDUCTIVITY BY CLASSICAL LIOUVILLE METHODS,

Abstract

The methods of Pregogine and his collaborators utilizing the classical Liouville operator are used to evaluate the correlation function expression for the lattice thermal conductivity. It is shown in the weak-coupling limit that the time dependent thermal flux appearing in the correlation function obeys the same master equation as the density function. By means of this master equation it is shown for cubic anharmonic scattering that the correlation function expression and the usual Boltzmann transport equation calculation of the thermal conductivity in the classical limit give the same results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 18, 1963
Accession Number
AD0426394

Entities

People

  • B. Leaf
  • W. C. Schieve

Organizations

  • Naval Radiological Defense Laboratory

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Conductivity
  • Couplings
  • Equations
  • Mathematics
  • Physical Properties
  • Scattering
  • Thermal Conductivity
  • Transport Properties
  • Transport Ships

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Thermal Physics or Thermal Science.