Calculus of Variations and Geometric Measure Theory

A. Kubin - M. Ponsiglione

Attractive Riesz potentials acting on hard spheres

created by ponsiglio on 14 Apr 2020
modified by kubin on 25 Oct 2024

[BibTeX]

Published Paper

Inserted: 14 apr 2020
Last Updated: 25 oct 2024

Journal: Nonlinearity
Year: 2021

Abstract:

In this paper we introduce a model for hard spheres interacting through attractive Riesz type potentials, and we study its thermodynamic limit. We show that the tail energy enforces optimal packing and round macroscopic shapes.

Keywords: Gamma-convergence, isoperimetric inequality, crystallization, Riesz kernels, Hard spheres, Optimal packing, Fractional perimeters


Download: