Attractive Riesz potentials acting on hard spheres

2020/04/14 by Kubin, Andrea, Ponsiglione, Marcello · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.06820

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.

Cited by

• Particle approximation of nonlocal interaction energies

Related

• Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?
• Riesz equilibrium on a ball in the external field of a point charge
• Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere --- the Exceptional Case
• Theory of Generalized Hertzian Hyperspheres
• From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials