2011/06/14 by William L. Miller, Miller, William L., Angelo Cacciuto +2 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Advanced Manufacturing and Logistics Optimization #FOS: Physical sciences #Material Dynamics and Properties #Optimization and Packing Problems #Pickering emulsions and particle stabilization #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1106.2787
openalex publication_date 2011/06/14 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
We perform numerical simulations of purely repulsive soft colloidal particles\ninteracting via a generalized elastic potential and constrained to a\ntwo-dimensional plane and to the surface of a spherical shell. For the planar\ncase, we compute the phase diagram in terms of the system's rescaled density\nand temperature. We find that a large number of ordered phases becomes\naccessible at low temperatures as the density of the system increases, and we\nstudy systematically how structural variety depends on the functional shape of\nthe pair potential. For the spherical case, we revisit the generalized Thomson\nproblem for small numbers of particles N <= 12 and identify, enumerate and\ncompare the minimal energy polyhedra established by the location of the\nparticles to those of the corresponding electrostatic system.\n