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29 March 2024
 
  » arxiv » cond-mat/9407113

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Temperature relaxation and the Kapitza boundary resistance paradox
Alec Maassen van den Brink ; H. Dekker ;
Date 28 Jul 1994
Subject cond-mat
AbstractThe calculation of the Kapitza boundary resistance between dissimilar harmonic solids has since long (Little [Can. J. Phys. 37, 334 (1959)]) 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. For a one-dimensional model we thus derive an exact, paradox-free formula for the boundary resistance. The analogy to ballistic electron transport is explained.
Source arXiv, cond-mat/9407113
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