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Published July 4, 2024 | Version 2.0
Software Open

Does a Magnetic Soccer Ball Carry Toroidal Moment? – An App to Examine 551 Dipole Clusters

  • 1. ROR icon University of Bayreuth

Description

The dipole-dipole interaction is a substantial part of the force that holds matter together. Since the electric and magnetic dipole-dipole interactions are mathematically equivalent, this fundamental interaction can be experimentally examined with magnetic spheres. For a numerical investigation the software package “dipole_clusters.py” allows an interactive examination of the

  • dipole arrangement,
  • field,
  • binding energy,
  • mutual interaction

of more than 500 of such clusters.

The "soccer championship" version 2.0 

  • adds all Archimedean soids
  • provides a technically interesting Halbach modification as starting configuration
  • is – together with the complete Python script – also available as an exe-file.

Technical info (English)

The exe-file in "app_dipole_clusters_2_0.zip" is only available for windows. The program creating it is provided with the complete source code consisting of 7 Python scripts in "dipole-clusters_2_0.zip".

Files

Readme_dipole_clusters_2_0.pdf

Files (328.5 MB)

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Additional details

Dates

Updated
2024-07-05

Software

Programming language
Python

References

  • J. Schönke, T. M. Schneider, I. Rehberg, Infinite geometric frustration in a cubic dipole cluster, Physical Review B 91 (2015) 020410
  • S. Hartung, F. Sommer, S. Völkel, J. Schönke, I. Rehberg, Assembly of eight spherical magnets into a dotriacontapole configuration, Physical Review B 98 (2018) 214424
  • 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", 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)
  • Simeon Völkel, Stefan Hartung, Ingo Rehberg, Comment on "Hysteretic transition between states of a filled hexagonal magnetic dipole cluster", arXiv:2203.13670
  • Ingo Rehberg, Magnetic Tubes - Instability of a Drug Deliverer, DPG Frühjahrestagung, Berlin (2024)
  • Magnetic Tubes - Instability of a Drug Deliverer, (Slides with explanations). https://zenodo.org/doi/10.5281/zenodo.10792304