Born-Infeld electrostatics in the complex plane
High Energy Physics - Theory
2011-04-06 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1007.2651,
title = {Born-Infeld electrostatics in the complex plane},
author = {Rafael Ferraro},
journal= {arXiv preprint arXiv:1007.2651},
year = {2011}
}
Comments
15 pages, 4 figures