Casimir free energy at high temperatures: Grounded versus isolated conductors

We evaluate the difference between the Casimir free energies corresponding to either grounded or isolated perfect conductors, at high temperatures. We show that a general and simple expression for that difference can be given, in terms of the electrostatic capacitance matrix for the system of conduc...

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Detalles Bibliográficos
Autores principales: Lombardo, Fernando César, Mazzitelli, Francisco Diego
Publicado: 2016
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n12_p_Fosco
http://hdl.handle.net/20.500.12110/paper_24700010_v93_n12_p_Fosco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_24700010_v93_n12_p_Fosco2023-06-08T16:36:20Z Casimir free energy at high temperatures: Grounded versus isolated conductors Lombardo, Fernando César Mazzitelli, Francisco Diego We evaluate the difference between the Casimir free energies corresponding to either grounded or isolated perfect conductors, at high temperatures. We show that a general and simple expression for that difference can be given, in terms of the electrostatic capacitance matrix for the system of conductors. For the case of close conductors, we provide approximate expressions for that difference, by evaluating the capacitance matrix using the proximity force approximation. Since the high-temperature limit for the Casimir free energy for a medium described by a frequency-dependent conductivity diverging at zero frequency coincides with that of an isolated conductor, our results may shed light on the corrections to the Casimir force in the presence of real materials. © 2016 American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n12_p_Fosco http://hdl.handle.net/20.500.12110/paper_24700010_v93_n12_p_Fosco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We evaluate the difference between the Casimir free energies corresponding to either grounded or isolated perfect conductors, at high temperatures. We show that a general and simple expression for that difference can be given, in terms of the electrostatic capacitance matrix for the system of conductors. For the case of close conductors, we provide approximate expressions for that difference, by evaluating the capacitance matrix using the proximity force approximation. Since the high-temperature limit for the Casimir free energy for a medium described by a frequency-dependent conductivity diverging at zero frequency coincides with that of an isolated conductor, our results may shed light on the corrections to the Casimir force in the presence of real materials. © 2016 American Physical Society.
author Lombardo, Fernando César
Mazzitelli, Francisco Diego
spellingShingle Lombardo, Fernando César
Mazzitelli, Francisco Diego
Casimir free energy at high temperatures: Grounded versus isolated conductors
author_facet Lombardo, Fernando César
Mazzitelli, Francisco Diego
author_sort Lombardo, Fernando César
title Casimir free energy at high temperatures: Grounded versus isolated conductors
title_short Casimir free energy at high temperatures: Grounded versus isolated conductors
title_full Casimir free energy at high temperatures: Grounded versus isolated conductors
title_fullStr Casimir free energy at high temperatures: Grounded versus isolated conductors
title_full_unstemmed Casimir free energy at high temperatures: Grounded versus isolated conductors
title_sort casimir free energy at high temperatures: grounded versus isolated conductors
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n12_p_Fosco
http://hdl.handle.net/20.500.12110/paper_24700010_v93_n12_p_Fosco
work_keys_str_mv AT lombardofernandocesar casimirfreeenergyathightemperaturesgroundedversusisolatedconductors
AT mazzitellifranciscodiego casimirfreeenergyathightemperaturesgroundedversusisolatedconductors
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