CORRELATION FUNCTION CALCULATION OF HIGHER ORDER CORRECTIONS TO THE LATTICE THERMAL CONDUCTIVITY,
Abstract
Making use of the correlation-function formula tion, the thermal conductivity is expressed in a power series in lambda. The Hamiltonian is H = Ho + lambda V', where Ho is the harmonic part. The lowest order contribution is proportional to 1/lambda squared; this has been previously shown to agree with results predicted by the Boltzmann-transport equation. Using the generalized master equations of van Hove and Janner to treat the time dependence, investigation is made of the contributions to the thermal conductivity of order 1/lambda. The contributions arise from: (a) the new nondiagonal elements in the lowest-order flux operator; (b) the effects of the perturbation on the flux operator; and (c) the highest-order terms in the perturbation treatment of the time dependence. It was found that these correlations may be calculated by means of Boltzmann-like equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 24, 1963
- Accession Number
- AD0423763
Entities
People
- R. J. Hardy
- W. C. Schieve
Organizations
- Naval Radiological Defense Laboratory