Heat transfer by low-frequency phonons and "diffusive" modes in cryocrystal solutions: the Kr–Xe syste

• Published in: Физика низких температур
• Date: 2003
• Main Authors: Konstantinov, V.A., Orel, E.S., Revyakin, V.P.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2003
• Subjects: Low-Temperature Thermodynamics and Structure
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/128908
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Heat transfer by low-frequency phonons and "diffusive" modes in cryocrystal solutions: the Kr–Xe system / V.A. Konstantinov, E.S. Orel, V.P. Revyakin // Физика низких температур. — 2003. — Т. 29, № 9-10. — С. 1007-1011. — Бібліогр.: 14 назв. — англ.

The temperature and volume dependences of the thermal conductivity of the Kr₁–ξ Xeξ solid solution are analyzed in a model in which heat is transferred by low-frequency phonons; above the phonon mobility edge this is done by "diffusive" modes migrating randomly from site to site. The phonon mobility edge w₀ is determined from the condition that the phonon mean free path limited by umklapp processes and scattering on point defects cannot be smaller than one-half the phonon wavelength. The Bridgman coefficientg g = - (∂ln Λ/∂lnV)T is the weighted mean over these modes, whose volume dependences differ strongly. It is shown that the amount of heat transferred by the "diffusive" modes above 100 K is quite large even in pure Kr and it increases with rising temperature and impurity concentration.