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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

Bibliographic databases:

Received: 25.08.1978

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
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\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}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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