Coulomb explosion of uniformly charged spheroids

TL;DR

This paper introduces a semi-analytical model for Coulomb explosion of uniformly charged spheroids, enabling derivation of particle energy distributions and explosion characteristics, with results validated by simulations.

Contribution

The paper presents a new semi-analytical model for Coulomb explosion of spheroids, extending understanding beyond spherical cases and providing explicit formulas for different spheroid geometries.

Findings

Model accurately predicts particle energy distributions.

Analytical expressions for explosion time and maximum energies.

Good agreement between model and particle simulations.

Abstract

A simple, semi-analytical model is proposed for non-relativistic Coulomb explosion of a uniformly charged spheroid. This model allows us to derive the time-dependent particle energy distributions. Simple expressions are also given for the characteristic explosion time and maximum particle energies in the limits of extreme prolate and oblate spheroids as well as for the sphere. Results of particle simulations are found to be in remarkably good agreement with the model.