An Ohta-Kawasaki Model set on the space

2024/01/06 by Lorena Aguirre Salazar, Xin Lü, Salazar, Lorena Aguirre +3
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2401.03120

Abstract

We examine a non-local diffuse interface energy with Coulomb repulsion in three dimensions inspired by the Thomas-Fermi-Dirac-von Weizsäcker, and the Ohta-Kawasaki models. We consider the corresponding mass-constrained variational problem and show the existence of minimizers for small masses, and the absence of minimizers for large masses.

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