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Title: Kapitza resistance between liquid and solid helium

Thesis/Dissertation ·
OSTI ID:7025515

The results of a study of the Kapitza resistance (R/sub K/ between liquid and solid helium-4 are presented. In the first chapter the recent proposal by Andreev and Parshin that, because of quantum delocalization of surface defects, the boundary between liquid and solid helium-4 would be in a special state is discussed. This state may be regarded as a quantum analog of an atomically rough interface. This particular interface is able to impede the passage of phonons because it can melt or freeze without dissipation as a response to an external non-equilibrium situation, i.e., pressure waves (phonons). In the second chapter two calculations of R/sub K/ are presented. One of them, the Acoustic-Mismatch calculation, is based on a model of the interface where no melting or freezing can occur. In this model the interface behaves as classical (non-rough). The usual T/sup -3/ temperature dependence is obtained. The other calculation is based on the model of the rough interface of Andreev and Parshin. R/sub K/ has a T/sup -5/ temperature dependence at low temperatures. At high temperatures (T > 0.5K) the two theories give approximately the same result for R/sub K/. In the third and fourth chapter experimental results for the phonon transmission coefficient across the interface are presented. These measurements are consistent with the rough interface theory of the Kapitza resistance.

Research Organization:
Brown Univ., Providence, RI (USA)
OSTI ID:
7025515
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English