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Local temperature measurement and Kapitza boundary resistance

โœ Scribed by Alec Maassen van den Brink; H. Dekker

Book ID
103941346
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
229 KB
Volume
219-220
Category
Article
ISSN
0921-4526

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โœฆ Synopsis

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 calculating temperature differences in the final heat-transporting state of the system, i.e., not in the initial state of local equilibrium. For a quantum mechanical model of an interface between harmonic solids with temperature probes attached, exact calculations relate the probe temperatures to non-equilibrium energy densities. The analogy with two-and four-terminal resistance measurements in ballistic electron transport is also discussed.

๐Ÿ“œ SIMILAR VOLUMES

Measurements of the kapitza boundary res
Measurements of the kapitza boundary resistance between copper and helium above the lambda transition
โœ Qiang Li; Talso C.P. Chui; John A. Lipa ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

Kapitza boundary resistance between copper and helium was measured above Th and found to be an order of magnitude smaller than the value previously proposed. Hence it is too small to explain the disagreement between thermal conductivity theory and some previous results.

Kapitza resistance between silver and 3H
Kapitza resistance between silver and 3He at millikelvin temperatures
โœ G.J. Stecher; Y. Hu; T.J. Gramila; R.C. Richardson ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

A glass capacitance thermometer was used to measure the Kapitza resistance Rk between a 0.5 pm silver film and liquid 3He at temperatures from 3 to 40 mK. Temperature dependence of Rk was observed in three regimes: roughly proportional to T-' below 15 mK, T-' from 15 to 26 mK, and Tm3 above 26 mK. R

Comparison of steady-state and second-so
Comparison of steady-state and second-sound measurements of the Kapitza resistance
โœ J. A. Katerberg; A. C. Anderson ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Springer US ๐ŸŒ English โš– 615 KB

The Kapitza thermal boundary resistance Rr has been measured using both the steady-state (dc) and the second-sound (ac) techniques on the same copper sample during the same low-temperature run. The two techniques give the same values for R~:; RK is therefore a constant for measuring [requencies rang