Thermal Green's functions of the fluctuation electromagnetic field of a~cylinder and~a cylindrical layer embedded in an infinite medium
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 388-394
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The exact thermal Green's functions for the long-wavelength fluctuation electromagnetic field are found for a cylinder of radius $R_1$ with permittivity $\varepsilon_1$ surrounded by a layer of radius $R_2$ with permittivity $\varepsilon_2$ embedded in an infinite medium with permittivity $\varepsilon_3$. It is shown how these Green's functions can be used to find various thermodynamic characteristics of such a system. As examples, the chemical potential of a cylindrical film and the pressure produced by it and also the change in the density of a liquid near a cylindrical interface are considered. In the general case, the obtained expressions can be used for computer calculations. In important limiting cases, simple analytic dependences are obtained.
@article{TMF_1979_41_3_a8,
author = {A. M. Korotkikh and V. M. Nabutovskii},
title = {Thermal {Green's} functions of the fluctuation electromagnetic field of a~cylinder and~a cylindrical layer embedded in an infinite medium},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {388--394},
publisher = {mathdoc},
volume = {41},
number = {3},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a8/}
}
TY - JOUR AU - A. M. Korotkikh AU - V. M. Nabutovskii TI - Thermal Green's functions of the fluctuation electromagnetic field of a~cylinder and~a cylindrical layer embedded in an infinite medium JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1979 SP - 388 EP - 394 VL - 41 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a8/ LA - ru ID - TMF_1979_41_3_a8 ER -
%0 Journal Article %A A. M. Korotkikh %A V. M. Nabutovskii %T Thermal Green's functions of the fluctuation electromagnetic field of a~cylinder and~a cylindrical layer embedded in an infinite medium %J Teoretičeskaâ i matematičeskaâ fizika %D 1979 %P 388-394 %V 41 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a8/ %G ru %F TMF_1979_41_3_a8
A. M. Korotkikh; V. M. Nabutovskii. Thermal Green's functions of the fluctuation electromagnetic field of a~cylinder and~a cylindrical layer embedded in an infinite medium. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 388-394. http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a8/