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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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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