Title
Local temperature measurement and Kapitza boundary resistance
Author
Maassen van den Brink, A.
Dekker, H.
TNO Fysisch en Elektronisch Laboratorium
Publication year
1996
Abstract
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.
Subject
Physics
Acoustic wave transmission
Electron transport properties
Heat transfer
Interfaces (materials)
Solids
Temperature measurement
Ballistic electron transport
Harmonic solids
Kapitza boundary resistance
Phonons
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http://resolver.tudelft.nl/uuid:c2c9e9dc-331b-4893-94a8-3ee22ea46f7c
DOI
https://doi.org/10.1016/0921-4526(95)00843-8
TNO identifier
233275
ISSN
0921-4526
Source
Physica B : Condensed Matter, 219-220 (1-4), 656-659
Document type
article