Summary
A model for the calculation of the thermal conductivity of finite dielectric samples is given. Explicit calculations have been made for two different geometries in the two limiting cases where the phonophonon mean free path is much longer and much shorter respectively than the characteristic dimensions of the sample.
Riassunto
Si fornisce un modello per calcolare la conduttività termica dei campioni dielettrici finiti. Si eseguono calcoli espliciti per due differenti geometrie nei due casi limite dove il cammino libero medio fonone-fonone è rispettivamente molto più lungo e molto più corto delle dimensioni caratteristiche del campione.
Реэюме
Предлагается модель для вычисления термопроводимости конечных дизлектрических обраэцов. Проведены точные вычисления для двух раэличных геометрий, в двух предельных случаях, когда средняя фонон-фононная свободная длина, соответственно, много больще и много меньще, чем характеристические раэмеры обраэца.
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References
R. G. Chambers:Proc. Phys. Soc. A65, 458 (1952).
R. W. Whitworth:Proc. Roy. Soc., A246, 390 (1958).
R. A. Guyer andJ. A. Krumhansl:Phys. Rev.,148, 778 (1966).
J. A. Sussmann andA. Thellung:Proc. Phys. Soc.,81, 1122 (1963).
R. N. Gurzhi:Sov. Phys. JETP,19, 490 (1964).
T. A. Karchava andD. G. Sanikidze:Sov. Phys. JETP,23, 1118 (1966).
R. G. Chambers:Proc. Roy. Soc., A202, 378 (1950).
J. Callaway:Phys. Rev.,113, 1046 (1959).
E. Jahnke andF. Emde:Tables of Functions with Formulae and Curves, 4th Edition (New York, 1964), p. 54.
H. B. G. Casimir:Physica,5, 495 (1938).
L. P. Mezhov-Deglin:Sov. Phys. JETP,22, 47 (1966).
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Alascio, B., Nazareno, H. & Carabelli, G. Effect of normal processes on the thermal conductivity of finite insulating samples. Nuovo Cimento B (1965-1970) 55, 362–370 (1968). https://doi.org/10.1007/BF02711648
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DOI: https://doi.org/10.1007/BF02711648