Calculus of Variations and Geometric Measure Theory
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A. Kubin - M. Ponsiglione

Attractive Riesz potentials acting on hard spheres

created by ponsiglio on 14 Apr 2020
modified on 15 Apr 2020

[BibTeX]

Preprint

Inserted: 14 apr 2020
Last Updated: 15 apr 2020

Year: 2020

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


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