Theory of heat conductivity of thin dielectric specimens
R. N. GurzhiPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR and A. M. Gor'kii Khar'kov State UniversityV. I. II’evskiĭPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR and A. M. Gor'kii Khar'kov State UniversityА. О. МаксимовPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR and A. M. Gor'kii Khar'kov State University
ABI
Abstract
An expression is obtained for the coefficient of heat conductivity of a thin dielectric plate at low temperatures, taking into account wave diffraction by a rough surface. Specific cases due to different relationships between the characteristic dimensions of the roughness, the temperature wavelength, the phonon mean free path relative to bulk collisions, and the specimen thickness are examined. The equations obtained differ substantially from those already known which are based on introducing a coefficient of diffuseness.
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