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Two- and four-point Kapitza resistance between harmonic solids

Author

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  • van den Brink, Alec Maassen
  • Dekker, H.

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.

Suggested Citation

  • van den Brink, Alec Maassen & Dekker, H., 1996. "Two- and four-point Kapitza resistance between harmonic solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 64-116.
    • Handle: RePEc:eee:phsmap:v:226:y:1996:i:1:p:64-116
    DOI: 10.1016/0378-4371(95)00394-0
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