Classifying Minimum Energy States for Interacting Particles: Regular Simplices

Densities of particles on R n which interact pairwise through an attractive-repulsive power-law potential W α , β ( x ) = | x | α / α - | x | β / β have often been used to explain patterns produced by biological and physical systems. In the mildly repulsive regime α > β ≥ 2 with n ≥ 2 , we show t...

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Veröffentlicht in:	Communications in mathematical physics 2023-04, Vol.399 (2), p.577-598
Hauptverfasser:	Davies, Cameron, Lim, Tongseok, McCann, Robert J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Apexes Classical and Quantum Gravitation Complex Systems Diameters Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Potential energy Quantum Physics Relativity Theory Spherical shells Theoretical
Online-Zugang:	Volltext
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