Bifurcation and fission in the liquid drop model: a phase-field approach
Classical Physics
2023-07-27 v2 Mathematical Physics
math.MP
Computational Physics
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.
Keywords
Cite
@article{arxiv.2302.14449,
title = {Bifurcation and fission in the liquid drop model: a phase-field approach},
author = {Zirui Xu and Qiang Du},
journal= {arXiv preprint arXiv:2302.14449},
year = {2023}
}
Comments
61 pages; 53 figures; minor revisions made; several references added