Crystalline Order on a Sphere and the Generalized Thomson Problem

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dc.creatorBowick, Mark
dc.creatorCacciuto, Angelo
dc.creatorNelson, David R.
dc.creatorTravesset, Alex
dc.date2002-06-10
dc.date2002-10-19
dc.date.accessioned2026-07-07T12:55:46Z
dc.date.available2026-07-07T12:55:46Z
dc.descriptionWe attack generalized Thomson problems with a continuum formalism which exploits a universal long range interaction between defects depending on the Young modulus of the underlying lattice. Our predictions for the ground state energy agree with simulations of long range power law interactions of the form 1/r^{gamma} (0 < gamma < 2) to four significant digits. The regime of grain boundaries is studied in the context of tilted crystalline order and the generality of our approach is illustrated with new results for square tilings on the sphere.
dc.description4 pages, 5 eps figures Fig. 2 revised, improved Fig. 3, reference typo fixed
dc.identifierhttps://arxiv.org/abs/cond-mat/0206144
dc.identifierhttp://arxiv.org/abs/cond-mat/0206144
dc.identifierPhys.Rev.Lett.89:185502,2002
dc.identifierdoi:10.1103/PhysRevLett.89.185502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224362
dc.subjectSoft Condensed Matter
dc.titleCrystalline Order on a Sphere and the Generalized Thomson Problem
dc.typetext

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