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arXiv · 2506.10375

Asymptotic potential of a rose-shaped disk

Alina E. Sagaydak·Zurab K. Silagadze
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Abstract

Based on extensive numerical evidence, a recent paper (Sheng Chen et al., Eur. J. Phys. {\bf 45} (2024), 045703) suggested that the potential of a uniformly charged rose-shaped disk in the plane of the disk has a simple asymptotic form. We present an analytical proof of this interesting conjecture.

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Alina E. Sagaydak, Zurab K. Silagadze. 2025-06-12. Asymptotic potential of a rose-shaped disk. https://doi.org/10.1016/j.elstat.2025.104099

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