Magnetic Reconnection in Magnetohydrodynamics
Pedro Caro, Gennaro Ciampa, Renato Luc\`a

TL;DR
This paper presents analytical examples of magnetic reconnection in magnetohydrodynamics, demonstrating topology changes in magnetic lines during evolution, which were previously only supported by numerical and experimental evidence.
Contribution
It provides the first known analytical solutions illustrating magnetic reconnection in 2D and 3D magnetohydrodynamics.
Findings
Analytical examples of magnetic reconnection are constructed.
Magnetic line topology changes are demonstrated during evolution.
Supports the physical relevance of magnetic reconnection phenomena.
Abstract
We provide examples of periodic solutions (in both 2 and 3 dimension) of the Magnetohydrodynamics equations such that the topology of the magnetic lines changes during the evolution. This phenomenon, known as magnetic reconnection, is relevant for physicists, in particular in the study of highly conducting plasmas. Although numerical and experimental evidences exist, analytical examples of magnetic reconnection were not known.
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Taxonomy
TopicsSolar and Space Plasma Dynamics · Ionosphere and magnetosphere dynamics · Magnetic confinement fusion research
