Exact zero-point interaction energy between cylinders

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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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Autores principales: Mazzitelli, F.D., Dalvit, D.A.R., Lombardo, F.C.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2006
Materias:
Conductive materials
Geometry
Casimir interaction energy
Eccentric cylinders
Logarithmic decay
Mode summation
Cylinders (containers)
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_13672630_v8_n_p_Mazzitelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_13672630_v8_n_p_Mazzitelli
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spelling paperaa:paper_13672630_v8_n_p_Mazzitelli2023-06-12T16:49:58Z Exact zero-point interaction energy between cylinders New J. Phys. 2006;8 Mazzitelli, F.D. Dalvit, D.A.R. Lombardo, F.C. 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 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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)
language Inglés
orig_language_str_mv eng
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, F.D.
Dalvit, D.A.R.
Lombardo, F.C.
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.
format Artículo
Artículo
publishedVersion
author Mazzitelli, F.D.
Dalvit, D.A.R.
Lombardo, F.C.
author_facet Mazzitelli, F.D.
Dalvit, D.A.R.
Lombardo, F.C.
author_sort Mazzitelli, F.D.
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 http://hdl.handle.net/20.500.12110/paper_13672630_v8_n_p_Mazzitelli
work_keys_str_mv AT mazzitellifd exactzeropointinteractionenergybetweencylinders
AT dalvitdar exactzeropointinteractionenergybetweencylinders
AT lombardofc exactzeropointinteractionenergybetweencylinders
_version_ 1769810295590486016

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