Simulating Magnetic Monopole-Defect Dynamics
Abstract
We present simulations of one magnetic monopole interacting with multiple magnetic singularities. Three-dimensional plots of the energy density are constructed from explicit solutions to the Bogomolny equation obtained by Blair, Cherkis, and Durcan. Animations follow trajectories derived from collective coordinate mechanics on the multi-centered Taub--NUT monopole moduli space. We supplement our numerical results with a complete analytic treatment of the single-defect case.
Keywords
Cite
@article{arxiv.2011.10887,
title = {Simulating Magnetic Monopole-Defect Dynamics},
author = {Gannon E. Lenhart and Andrew B. Royston and Keaton E. Wright},
journal= {arXiv preprint arXiv:2011.10887},
year = {2021}
}
Comments
44 pages, 9 figures. One Mathematica notebook and four simulations included as ancillary files. Introduction written from an undergraduate perspective. v2: reference added and typos corrected. v3: discussion of energy loss due to radiation extended and improved; published version