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Kinetic Transition Networks for the Thomson Problem and Smale's 7th Problem
Dhagash Mehta, Jianxu Chen, Danny Z. Chen +2
The Thomson Problem, arrangement of identical charges on the surface of a sphere, has found many applications in physics, chemistry and biology. Here we show that the energy landsc…
Structural analysis of high-dimensional basins of attraction
Stefano Martiniani, K. Julian Schrenk, Jacob D. Stevenson +2
We propose an efficient Monte Carlo method for the computation of the volumes of high-dimensional bodies with arbitrary shape. We start with a region of known volume within the int…
Energetically favoured defects in dense packings of particles on spherical surfaces
Stefan Paquay, Halim Kusumaatmaja, David J. Wales +2
The dense packing of interacting particles on spheres has proved to be a useful model for virus capsids and colloidosomes. Indeed, icosahedral symmetry observed in virus capsids co…