Correlation Function Calculation of Thermal Conductivity

William C. Schieve and Robert L. Peterson
Phys. Rev. 126, 1458 – Published 15 May 1962
PDFExport Citation

Abstract

Recent theories of transport in fluids express the thermal conductivity in terms of correlation functions of the thermal flux. It is shown here that such an expression for the thermal conductivity reduces to that conventionally obtained by use of the Boltzmann transport equation for phonon scattering in crystals, if the rate of change of phonon occupation numbers due to scattering may be characterized by a relaxation time per mode of vibration. The elastic scattering of phonons by randomly arranged scatterers in anisotropic crystals is also discussed. We show that a new relaxation mechanism can, in certain cases, simply characterize the thermal conductivity.

  • Received 8 November 1961

DOI:https://doi.org/10.1103/PhysRev.126.1458

©1962 American Physical Society

Authors & Affiliations

William C. Schieve

  • U. S. Naval Radiological Defense Laboratory, San Francisco, California

Robert L. Peterson*

  • Case Institute of Technology, Cleveland, Ohio

  • *A portion of this work was done while the author was at the U. S. Naval Radiological Defense Laboratory during the summer of 1961.

References (Subscription Required)

Click to Expand
Issue

Vol. 126, Iss. 4 — May 1962

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Journals Archive

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×