Temperature relaxation and the Kapitza boundary resistance paradox
Condensed Matter
2007-05-23 v1
Abstract
The 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.
Keywords
Cite
@article{arxiv.cond-mat/9407113,
title = {Temperature relaxation and the Kapitza boundary resistance paradox},
author = {Alec Maassen van den Brink and H. Dekker},
journal= {arXiv preprint arXiv:cond-mat/9407113},
year = {2007}
}
Comments
10 p., REVTeX 3.0 with LaTeX 2.09, ITFA-94-24