Bifurcation and fission in the liquid drop model: a phase-field approach
arXiv:2302.14449 · doi:10.1063/5.0148456
Abstract
The liquid drop model, originally used to model atomic nuclei, describes the competition between surface tension and Coulomb force. To help understand how a ball loses stability and becomes prone to fission, we calculate the minimum energy path of the fission process, and study the bifurcation branch conjectured by Bohr and Wheeler. We then present the two-dimensional analogue for comparison. Our study is conducted with the help of numerical simulations via a phase-field approach.
61 pages; 53 figures; minor revisions made; several references added