Electrostatic potential of a homogeneously charged square and cube in two and three dimensions

1995/08/11 by Hummer, Gerhard · 2 citations
#Chemical Physics (physics.chem-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.chem-ph/9508002

Abstract

A closed form of the electrostatic potential of a homogeneously charged cube is derived by integration. The exact result is compared with multipole expansions for the exterior and interior of the cube. The electrostatic potential of a homogeneously charged square in two-dimensional electrostatics is also determined.

Cited by

• The Madelung Problem of Finite Crystals
• Electrostatic computations for statistical mechanics and random matrix applications

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