Non-spherical equilibrium shapes in the liquid drop model

Frank, Rupert L. (2019): Non-spherical equilibrium shapes in the liquid drop model. In: Journal of Mathematical Physics, Vol. 60, No. 7, 071506

Abstract

We prove the existence of a family of volume-constrained critical points of the liquid drop functional, which are cylindrically but not spherically symmetric. This family bifurcates from the ball and exchanges stability with it. We justify a formula of Bohr and Wheeler for the energy of these sets. Published under license by AIP Publishing.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0022-2488
• Language: English