**Физика Низких Температур: ***Том ***29**, Выпуск **9-10** (Сентябрь 2003), c. 1007-1011
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### Heat transfer by low-frequency phonons and "diffusive" modes in cryocrystal solutions: the Kr–Xe system

**V.A. Konstantinov, E.S. Orel, and V.P. Revyakin**

B. Verkin Institute for Low Temperature Physics and Engineering of the Naional Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine

E-mail: konstantinov@ilt.kharkov.ua

**Аннотация**

The temperature and volume dependences of the thermal conductivity of the Kr_{1–x} Xe_{x} 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 w_{0} 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 / L ¶ ln *V*)_{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.

**PACS:**

66.70. -

63.20.Ls - Phonon interactions with other quasiparticles