Accession Number:

AD0423763

Title:

CORRELATION FUNCTION CALCULATION OF HIGHER ORDER CORRECTIONS TO THE LATTICE THERMAL CONDUCTIVITY,

Descriptive Note:

Corporate Author:

NAVAL RADIOLOGICAL DEFENSE LAB SAN FRANCISCO CALIF

Personal Author(s):

• Schieve,W. C.
• Hardy,R. J.

Report Date:

1963-09-24

Pagination or Media Count:

78.0

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 1lambda 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 1lambda. 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

Descriptors:

• *STATISTICAL FUNCTIONS
• THERMAL CONDUCTIVITY
• PERTURBATION THEORY
• PHONONS
• ELASTIC SCATTERING
• CRYSTAL LATTICES
• DIFFERENTIAL EQUATIONS
• INTEGRAL EQUATIONS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE