Liquid drop model for nuclear matter in the low density limit
Frank RL, Lewin M, Seiringer R. 2026. Liquid drop model for nuclear matter in the low density limit. Communications on Pure and Applied Mathematics.
Download (ext.)
Journal Article
| Epub ahead of print
| English
Scopus indexed
Author
Frank, Rupert L.;
Lewin, Mathieu;
Seiringer, RobertISTA 
Department
Abstract
We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the dilute limit. Our proof justifies the expectation that optimal configurations consist of droplets of unit size that arrange themselves according to minimizers for the Jellium problem for point particles. In particular, we provide the first rigorous derivation of what is known as the gnocchi phase in astrophysics.
Publishing Year
Date Published
2026-01-01
Journal Title
Communications on Pure and Applied Mathematics
Publisher
Wiley
ISSN
eISSN
IST-REx-ID
Cite this
Frank RL, Lewin M, Seiringer R. Liquid drop model for nuclear matter in the low density limit. Communications on Pure and Applied Mathematics. 2026. doi:10.1002/cpa.70039
Frank, R. L., Lewin, M., & Seiringer, R. (2026). Liquid drop model for nuclear matter in the low density limit. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.70039
Frank, Rupert L., Mathieu Lewin, and Robert Seiringer. “Liquid Drop Model for Nuclear Matter in the Low Density Limit.” Communications on Pure and Applied Mathematics. Wiley, 2026. https://doi.org/10.1002/cpa.70039.
R. L. Frank, M. Lewin, and R. Seiringer, “Liquid drop model for nuclear matter in the low density limit,” Communications on Pure and Applied Mathematics. Wiley, 2026.
Frank RL, Lewin M, Seiringer R. 2026. Liquid drop model for nuclear matter in the low density limit. Communications on Pure and Applied Mathematics.
Frank, Rupert L., et al. “Liquid Drop Model for Nuclear Matter in the Low Density Limit.” Communications on Pure and Applied Mathematics, Wiley, 2026, doi:10.1002/cpa.70039.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Link(s) to Main File(s)
Access Level
Open Access
arXiv 
Google Scholar