Temperature relaxation at the Kapitza-boundary-resistance paradox
article
The calculation of the Kapitza boundary resistance between dissimilar harmonic solids has for a long time [W. A. Little, Can. J. Phys. 37, 334 (1959)] presented 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
TNO Identifier
94814
Source
Physical Review B, 51(24), pp. 17842-17847.
Pages
17842-17847
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