Published February 7, 2024
| Version 1.2.3
Software
Open
Python code for the animation of a magnetic catastrophe machine, V1.2.3
Description
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
Notes
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
Files
Readme_for_dipole_hexagon_1_2_3.pdf
Files
(36.3 MB)
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md5:061712ea9403a129a3a313a211ace0a4
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Additional details
Related works
- Is cited by
- arXiv:2203.13670v2 (arXiv)
- Presentation: 10.5281/zenodo.7767346 (DOI)
- Is supplement to
- 10.5281/zenodo.6484442 (DOI)
Dates
- Created
-
2024-02-07
References
- A. D. Smith, P. T. Haugen, B. F. Edwards, Hysteretic transition between states of a filled hexagonal magnetic dipole cluster, Journal of Magnetism and Magnetic Materials 549 (2022) 168991.
- T. Friedrich, I. Rehberg, R. Richter, Comment on "self-assembly of magnetic balls: From chains to tubes", Phys. Rev. E 91 (2015) 057201
- Simeon Völkel, Stefan Hartung, Ingo Rehberg, Comment on "Hysteretic transition between states of a filled hexagonal magnetic dipole cluster", arXiv:2203.13670
- Simeon Völkel, Stefan Hartung, Ingo Rehberg, Comment on "Hysteretic transition between states of a filled hexagonal magnetic dipole cluster", Journal of Magnetism and Magnetic Materials, Volume 559, 2022, 169520, ISSN 0304-8853, https://doi.org/10.1016/j.jmmm.2022.169520. (https://www.sciencedirect.com/science/article/pii/S0304885322004437)