Two- and four-point Kapitza resistance between harmonic solids

Alec Maassen van den Brink and H. Dekker

Physica A: Statistical Mechanics and its Applications, 1996, vol. 226, issue 1, 64-116

Abstract: The calculation of the Kapitza boundary resistance between dissimilar harmonic solids has since long (Little [Can. J. Phys. 37 (1959) 334]) 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. We thus derive an exact, paradox-free formula for the boundary resistance. We compare the definition of local temperatures in terms of “nonequilibrium” energy densities with the (phase-sensitive) measurement of such a temperature by attaching a probe to the system, and find considerable agreement between the two. The analogy to ballistic electron transport is explained.

Keywords: Kapitza resistance; Heat transport; Temperature measurement (search for similar items in EconPapers)
Date: 1996
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437195003940
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:226:y:1996:i:1:p:64-116

DOI: 10.1016/0378-4371(95)00394-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().