Title
Two- and four-point Kapitza resistance between harmonic solids
Author
Maassen van den Brink, A.
Dekker, H.
TNO Fysisch en Elektronisch Laboratorium
Publication year
1996
Abstract
The calculation of the Kapitza boundary resistance between dissimilar harmonic solids has since long (Little [Can. J. Phys. 37 (1959) 334]) suffered from a paradox: this resistance erroneously tends to a finite value in the limit of identical solids. We resolve this paradox by calculating temperature differences in the final heat-transporting state, rather than with respect to the initial state of local equilibrium. We thus derive an exact, paradox-free formula for the boundary resistance. We compare the definition of local temperatures in terms of "nonequilibrium" energy densities with the (phase-sensitive) measurement of such a temperature by attaching a probe to the system, and find considerable agreement between the two. The analogy to ballistic electron transport is explained.
Subject
Physics
Kapitza resistance
Heat transport
Temperature measurement
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TNO identifier
94881
Source
Physica A, 226, 64-116
Document type
article