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

doi:10.1016/j.exmath.2021.03.003

paper

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

arXiv:2003.07751 · doi:10.1016/j.exmath.2021.03.003

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.

arXiv comment14 pages