Charge distribution in two-dimensional electrostatics

Details Charge distribution in two-dimensional electrostatics Charge distribution in two-dimensional electrostatics

2002-05-25

arxiv.org/abs/math-ph/0205038v1

Phys. Rev. B 45, 12084 - 12087 (1992)

Physics

Mathematical Physics

LaTeX

Scientific paper

10.1103/PhysRevB.45.12084

We examine the stability of ringlike configurations of N charges on a plane
interacting through the potential $V(z_1,...,z_N)=\sum_i |z_i|^2-\sum_{iln|z_i-z_j|^2$. We interpret the equilibrium distributions in terms of a shell
model and compare predictions of the model with the results of numerical
simulations for systems with up to 100 particles.

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