2D Born-Infeld electrostatic fields
arXiv:hep-th/0309185 · doi:10.1016/j.physleta.2004.03.039
Abstract
The electrostatic configurations of the Born-Infeld field in the 2-dimensional Euclidean plane are obtained by means of a non-analytical complex mapping which captures the structure of equipotential and field lines. The electrostatic field reaches the Born-Infeld limit value when the field lines become tangent to an epicycloid around the origin. The total energy by unit of length remains finite.
4 pages, 2 figures
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