Numerical evaluation of the Casimir interaction between cylinders

We numerically evaluate the Casimir interaction energy for configurations involving two perfectly conducting eccentric cylinders and a cylinder in front of a plane. We consider in detail several special cases. For quasiconcentric cylinders, we analyze the convergence of a perturbative evaluation bas...

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Autores principales: Lombardo, Fernando César, Mazzitelli, Francisco Diego, Villar, Paula Inés
Publicado: 2008
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n8_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_15507998_v78_n8_p_Lombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15507998_v78_n8_p_Lombardo
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spelling paper:paper_15507998_v78_n8_p_Lombardo2023-06-08T16:22:06Z Numerical evaluation of the Casimir interaction between cylinders Lombardo, Fernando César Mazzitelli, Francisco Diego Villar, Paula Inés We numerically evaluate the Casimir interaction energy for configurations involving two perfectly conducting eccentric cylinders and a cylinder in front of a plane. We consider in detail several special cases. For quasiconcentric cylinders, we analyze the convergence of a perturbative evaluation based on sparse matrices. For concentric cylinders, we obtain analytically the corrections to the proximity force approximation up to second order, and we present an improved numerical procedure to evaluate the interaction energy at very small distances. Finally, we consider the configuration of a cylinder in front of a plane. We first show numerically that, in the appropriate limit, the Casimir energy for this configuration can be obtained from that of two eccentric cylinders. Then we compute the interaction energy at small distances, and compare the numerical results with the analytic predictions for the first order corrections to the proximity force approximation. © 2008 The 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. Fil:Villar, P.I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n8_p_Lombardo http://hdl.handle.net/20.500.12110/paper_15507998_v78_n8_p_Lombardo
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 numerically evaluate the Casimir interaction energy for configurations involving two perfectly conducting eccentric cylinders and a cylinder in front of a plane. We consider in detail several special cases. For quasiconcentric cylinders, we analyze the convergence of a perturbative evaluation based on sparse matrices. For concentric cylinders, we obtain analytically the corrections to the proximity force approximation up to second order, and we present an improved numerical procedure to evaluate the interaction energy at very small distances. Finally, we consider the configuration of a cylinder in front of a plane. We first show numerically that, in the appropriate limit, the Casimir energy for this configuration can be obtained from that of two eccentric cylinders. Then we compute the interaction energy at small distances, and compare the numerical results with the analytic predictions for the first order corrections to the proximity force approximation. © 2008 The American Physical Society.
author Lombardo, Fernando César
Mazzitelli, Francisco Diego
Villar, Paula Inés
spellingShingle Lombardo, Fernando César
Mazzitelli, Francisco Diego
Villar, Paula Inés
Numerical evaluation of the Casimir interaction between cylinders
author_facet Lombardo, Fernando César
Mazzitelli, Francisco Diego
Villar, Paula Inés
author_sort Lombardo, Fernando César
title Numerical evaluation of the Casimir interaction between cylinders
title_short Numerical evaluation of the Casimir interaction between cylinders
title_full Numerical evaluation of the Casimir interaction between cylinders
title_fullStr Numerical evaluation of the Casimir interaction between cylinders
title_full_unstemmed Numerical evaluation of the Casimir interaction between cylinders
title_sort numerical evaluation of the casimir interaction between cylinders
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n8_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_15507998_v78_n8_p_Lombardo
work_keys_str_mv AT lombardofernandocesar numericalevaluationofthecasimirinteractionbetweencylinders
AT mazzitellifranciscodiego numericalevaluationofthecasimirinteractionbetweencylinders
AT villarpaulaines numericalevaluationofthecasimirinteractionbetweencylinders
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