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Python code for the animation of a magnetic catastrophe machine, V1.2.3

Authors: Rehberg, Ingo;

Python code for the animation of a magnetic catastrophe machine, V1.2.3

Abstract

A Python GUI simulating orientational relaxation in dipole clusters. It illustrates the hysteretic transition between two stable states of a seven-dipole cluster described by: Andrew D.P. Smith, Peter T. Haugen, Boyd F. Edwards Hysteretic transition between states of a filled hexagonal magnetic dipole cluster,J. Magn. Magn. Mater. 549 (2022): 168991; and particularly by the comment: https://doi.org/10.48550/arXiv.2203.13670 As a bifurcation parameter, users can vary: the relative strength of the central dipole the height of the central dipole an external magnetic field Ideal for classroom use, the system showcases key features of nonlinear statics: spontaneous symmetry breaking bistability discontinuous transitions via: a subcritical pitchfork bifurcation a fold bifurcation

Version 1.2.3 uses basic routines from the more general cluster animation GUI (DOI 10.5281/zenodo.10084573). Two figures have been added to illustrate: the orientation of the dipoles the convergence speed of the code

Related Organizations
Keywords

dipole cluster, animation, Python, subcritical bifurcation, fold

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