Geodesic
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 
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/
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     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},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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