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Simulating magnetic monopole-defect dynamics

2020/11/30 by Gannon E. Lenhart, Andrew B. Royston, Keaton E. Wright
Physics and Astronomy · #Coordinate system #Dynamics (music) #Energy density #Magnetic field #Magnetic monopole #Magnetic properties of thin films #Moduli #Moduli space #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.1007/jhep04(2021)286

published as JHEP 04 (2021) 286 · 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

openalex created_date 2020/12/07 · openalex publication_date 2021/04/01 · arxiv created 2021/05/17 · arxiv updated 2021/05/19 · openalex updated_date 2026/08/05

Abstract

A bstract 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.

Citations