5 papers
Efficient Searches for Low-Energy Structures in Clusters with Thousands of Particles: Application to the Thomson Problem
Paolo Amore, David J. Wales
We propose an algorithm for identifying low-energy minima in systems containing thousands of particles, at moderate computational cost. We focus on spherical crystals, in which par…
Spectral sum rules on a --sphere
Paolo Amore
We derive spectral sum rules for inverse powers of the eigenvalues of the Helmholtz equation on a -sphere in the presence of an arbitrary density. By adopting a rigorous renorma…
Exploring the energy landscape of the logarithmic potential: local minima and stationary states
Paolo Amore, Victor Figueroa, Raymundo Ramos
We have performed a detailed exploration of the energy landscape for configurations of points on the sphere, interacting via the logarithmic potential, and corresponding to local m…
Thomson problem on a spherical cap
Paolo Amore
We investigate the low-energy configurations of N mutually repelling charges confined to a spherical cap and interacting via the Coulomb potential. In the continuum limit, this pro…
Exploring the energy landscape of the Thomson problem: local minima and stationary states
Paolo Amore, Victor Figueroa, Enrique Diaz +2
We conducted a comprehensive numerical investigation of the energy landscape of the Thomson problem for systems up to . Our results show the number of distinct configuration…