# Two- and four-point Kapitza resistance between harmonic solids

Two- and four-point Kapitza resistance between harmonic solids

AuthorMaassen van den Brink, A.

Dekker, H.

TNO Fysisch en Elektronisch Laboratorium

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.

SubjectPhysics

Kapitza resistance

Heat transport

Temperature measurement

http://resolver.tudelft.nl/uuid:dd48a68a-4b89-4a89-b5e3-a7a951cc2525

TNO identifier94881

SourcePhysica A, 226, 64-116

Document typearticle

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