Improvements for Vachaspati-Vilenkin-type Algorithms for Cosmic String and Disclination Formation

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dc.creatorStrobl, Karl
dc.date1996-08-15
dc.date1996-08-16
dc.date.accessioned2026-07-07T09:03:08Z
dc.date.available2026-07-07T09:03:08Z
dc.descriptionWe derive various consistency requirements for Vachaspati-Vilenkin type Monte-Carlo simulations of cosmic string formation or disclination formation in liquid crystals. We argue for the use of a tetrakaidekahedral lattice in such simulations. We also show that these calculations can be carried out on lattices which are formally infinite, and do not necessitate the specification of any boundary conditions. This way string defects can be traced up to much larger lengths than on finite lattices. The simulations then fall into a more general class of simulations of self-interacting walks, which occupy the underlying lattice very sparsely. An efficient search algorithm is essential. We discuss various search strategies, and demonstrate how to implement hash tables with collision resolution by open addressing. The time to trace a string defect is then proportional only to the string length.
dc.description20 pages, plain LaTeX, macro mathsymb.sty included, figures included, also available as http://starsky.pcss.maps.susx.ac.uk/groups/pt/preprints/96/96012ps.gz
dc.identifierhttps://arxiv.org/abs/hep-lat/9608085
dc.identifierhttp://arxiv.org/abs/hep-lat/9608085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148892
dc.subjectHigh Energy Physics - Lattice
dc.subjectCondensed Matter
dc.titleImprovements for Vachaspati-Vilenkin-type Algorithms for Cosmic String and Disclination Formation
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