Asymptotic potential of a rose-shaped disk

2025/06/12 by Sagaydak, Alina E., Silagadze, Zurab K.
#Classical Physics (physics.class-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2506.10375

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.

Citations

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