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: JOUR
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 todo:paper_13672630_v8_n_p_Mazzitelli
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spelling todo:paper_13672630_v8_n_p_Mazzitelli2023-10-03T16:11:32Z Exact zero-point interaction energy between cylinders 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. JOUR 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)
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 JOUR
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
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_ 1807323664138371072

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