Bifurcation and fission in the liquid drop model: A phase-field approach-Reference-Cited by-同舟云学术

Bifurcation and fission in the liquid drop model: A phase-field approach

Published:2023-07-01 Issue:7 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Xu Zirui¹^ORCID,Du Qiang¹²^ORCID

Affiliation:

1. Department of Applied Physics and Applied Mathematics, Columbia University 1 , New York, New York 10027, USA

2. Data Science Institute, Columbia University 2 , New York, New York 10027, USA

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 analog for comparison. Our study is conducted with the help of numerical simulations via a phase-field approach.

Funder

National Science Foundation

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0148456/18057963/071508_1_5.0148456.pdf

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