Exact zero-point interaction energy between cylinders
We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numer...
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2006
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paper:paper_13672630_v8_n_p_Mazzitelli2023-06-08T16:12:10Z Exact zero-point interaction energy between cylinders Mazzitelli, Francisco Diego Dalvit, Diego Alejandro Roberto Lombardo, Fernando César Conductive materials Geometry Casimir interaction energy Eccentric cylinders Logarithmic decay Mode summation Cylinders (containers) We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numerically. These include concentric cylinders, cylinder-plane and eccentric cylinders, for small and large separations between the surfaces. For small separations we recover the proximity approximation, while for large separations we find a weak logarithmic decay of the Casimir interaction energy, typical of cylindrical geometries. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dalvit, D.A.R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v8_n_p_Mazzitelli http://hdl.handle.net/20.500.12110/paper_13672630_v8_n_p_Mazzitelli |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Conductive materials Geometry Casimir interaction energy Eccentric cylinders Logarithmic decay Mode summation Cylinders (containers) |
spellingShingle |
Conductive materials Geometry Casimir interaction energy Eccentric cylinders Logarithmic decay Mode summation Cylinders (containers) Mazzitelli, Francisco Diego Dalvit, Diego Alejandro Roberto Lombardo, Fernando César Exact zero-point interaction energy between cylinders |
topic_facet |
Conductive materials Geometry Casimir interaction energy Eccentric cylinders Logarithmic decay Mode summation Cylinders (containers) |
description |
We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numerically. These include concentric cylinders, cylinder-plane and eccentric cylinders, for small and large separations between the surfaces. For small separations we recover the proximity approximation, while for large separations we find a weak logarithmic decay of the Casimir interaction energy, typical of cylindrical geometries. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. |
author |
Mazzitelli, Francisco Diego Dalvit, Diego Alejandro Roberto Lombardo, Fernando César |
author_facet |
Mazzitelli, Francisco Diego Dalvit, Diego Alejandro Roberto Lombardo, Fernando César |
author_sort |
Mazzitelli, Francisco Diego |
title |
Exact zero-point interaction energy between cylinders |
title_short |
Exact zero-point interaction energy between cylinders |
title_full |
Exact zero-point interaction energy between cylinders |
title_fullStr |
Exact zero-point interaction energy between cylinders |
title_full_unstemmed |
Exact zero-point interaction energy between cylinders |
title_sort |
exact zero-point interaction energy between cylinders |
publishDate |
2006 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v8_n_p_Mazzitelli http://hdl.handle.net/20.500.12110/paper_13672630_v8_n_p_Mazzitelli |
work_keys_str_mv |
AT mazzitellifranciscodiego exactzeropointinteractionenergybetweencylinders AT dalvitdiegoalejandroroberto exactzeropointinteractionenergybetweencylinders AT lombardofernandocesar exactzeropointinteractionenergybetweencylinders |
_version_ |
1768545751791566848 |