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 TMF, 1979, Volume 41, Number 3, Pages 388–394 (Mi tmf3073)

Thermal Green's functions of the fluctuation electromagnetic field of a cylinder and a cylindrical layer embedded in an infinite medium

A. M. Korotkikh, V. M. Nabutovskii

Abstract: 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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English version:
Theoretical and Mathematical Physics, 1979, 41:3, 1093–1097

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Citation: 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”, TMF, 41:3 (1979), 388–394; Theoret. and Math. Phys., 41:3 (1979), 1093–1097

Citation in format AMSBIB
\Bibitem{KorNab79} \by A.~M.~Korotkikh, V.~M.~Nabutovskii \paper Thermal Green's functions of the fluctuation electromagnetic field of a~cylinder and~a cylindrical layer embedded in an infinite medium \jour TMF \yr 1979 \vol 41 \issue 3 \pages 388--394 \mathnet{http://mi.mathnet.ru/tmf3073} \transl \jour Theoret. and Math. Phys. \yr 1979 \vol 41 \issue 3 \pages 1093--1097 \crossref{https://doi.org/10.1007/BF01019380} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JV61100009}