Nonexistence of large nuclei in the liquid drop model

Abstract

We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result.

3 pages; new version with improved bound and simplified proof

References in corpus (1)

• Low density phases in a uniformly charged liquid

Cited by in corpus (8)

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• Non-spherical equilibrium shapes in the liquid drop model
• Bifurcation and fission in the liquid drop model: a phase-field approach
• Grand-Canonical Optimal Transport
• Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity