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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-ph2019
Isodiametry, variance, and regular simplices from particle interactions
Tongseok Lim, Robert J McCann
Consider a collection of particles interacting through an attractive-repulsive potential given as a difference of power laws and normalized so that its unique minimum occurs at uni…