12 citations · 12 across the 3 of their papers we have counts for
3 papers
math.OC2024
Bounds and Limiting Minimizers for a Family of Interaction Energies
Cameron Davies
We study a two parameter family of energy minimization problems for interaction energies with attractive-repulsive potential . We develop a concavity p…
math-ph2021★ 12 cited
Classifying minimum energy states for interacting particles: Regular simplices
Cameron Davies, Tongseok Lim, Robert J. McCann
Densities of particles on $\Rn$ which interact pairwise through an attractive-repulsive power-law potential $W_{\al,\bt}(x) = |x|^\al/\al-|x|^\bt/\bt$ have often been used to expla…
math.OC2021
Classifying minimum energy states for interacting particles: Spherical Shells
Cameron Davies, Tongseok Lim, Robert J. McCann
Particles interacting through long-range attraction and short-range repulsion given by power-laws have been widely used to model physical and biological systems, and to predict or…