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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 | 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. | Source: | arXiv, cond-mat/9407113 | Services: | Forum | Review | PDF | Favorites |
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