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arXiv · 2003.07751

Around a theorem of F. Dyson and A. Lenard: Energy Equilibria for Point Charge Distributions in Classical Electrostatics

Artem Abanov·Nathan Hayford·Dmitry Khavinson·Razvan Teodorescu
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Abstract

We discuss several results in electrostatics: Onsager's inequality, an extension of Earnshaw's theorem, and a result stemming from the celebrated conjecture of Maxwell on the number of points of electrostatic equilibrium. Whenever possible, we try to provide a brief historical context and references.

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Artem Abanov, Nathan Hayford, Dmitry Khavinson, Razvan Teodorescu. 2020-03-17. Around a theorem of F. Dyson and A. Lenard: Energy Equilibria for Point Charge Distributions in Classical Electrostatics. https://doi.org/10.1016/j.exmath.2021.03.003

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