Local temperature measurement and Kapitza boundary resistance

A calculation of the Kapitza boundary resistance between harmonic solids has been noted previously (Little, Can. J. Phys. 37 (1959) 334; Leung and Young, Phys. Rev. B 36 (1987) 4973) to lead to apparently paradoxical results in the limit of identical solids: instead of vanishing, the resistance tends to a finite limit. We resolve this paradox by...