Born-Infeld electrostatics in the complex plane

The complex method to obtain 2-dimensional Born-Infeld electrostatic solutions is presented in a renewed form. The solutions are generated by a holomorphic seed that makes contact with the Coulombian complex potential. The procedure is exemplified by solving the Born-Infeld multipolar configurations...

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Autor principal: Ferraro, R.
Formato: JOUR
Materias:
Integrable equations in physics
Integrable field theories
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n12_p_Ferraro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_11266708_v2010_n12_p_Ferraro2023-10-03T16:06:44Z Born-Infeld electrostatics in the complex plane Ferraro, R. Integrable equations in physics Integrable field theories The complex method to obtain 2-dimensional Born-Infeld electrostatic solutions is presented in a renewed form. The solutions are generated by a holomorphic seed that makes contact with the Coulombian complex potential. The procedure is exemplified by solving the Born-Infeld multipolar configurations. Besides, it is shown that the attractive force between two equal but opposite charges is lower than its Coulombian partner; it decreases up to vanish when the charges approach each other below a distance ruled by the Born-Infeld constant. © 2010 SISSA. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n12_p_Ferraro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Integrable equations in physics
Integrable field theories
spellingShingle Integrable equations in physics
Integrable field theories
Ferraro, R.
Born-Infeld electrostatics in the complex plane
topic_facet Integrable equations in physics
Integrable field theories
description The complex method to obtain 2-dimensional Born-Infeld electrostatic solutions is presented in a renewed form. The solutions are generated by a holomorphic seed that makes contact with the Coulombian complex potential. The procedure is exemplified by solving the Born-Infeld multipolar configurations. Besides, it is shown that the attractive force between two equal but opposite charges is lower than its Coulombian partner; it decreases up to vanish when the charges approach each other below a distance ruled by the Born-Infeld constant. © 2010 SISSA.
format JOUR
author Ferraro, R.
author_facet Ferraro, R.
author_sort Ferraro, R.
title Born-Infeld electrostatics in the complex plane
title_short Born-Infeld electrostatics in the complex plane
title_full Born-Infeld electrostatics in the complex plane
title_fullStr Born-Infeld electrostatics in the complex plane
title_full_unstemmed Born-Infeld electrostatics in the complex plane
title_sort born-infeld electrostatics in the complex plane
url http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n12_p_Ferraro
work_keys_str_mv AT ferraror borninfeldelectrostaticsinthecomplexplane
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