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Random and frozen states in complex triangulations

Aste, Tomaso; Gramatica, Ruggero; Di Matteo, Tiziana

Description

Triangulations of complex surfaces with different genera are studied within a statistical mechanics framework where an energy is associated to deviations from an ideal, ordered ground state. We observe that the complexity of the embedding surface strongly affects the properties of the triangulations. At high temperatures the 'random states' have degree distributions that broaden with the surface genus. At low temperatures the 'frozen states' can reach a higher degree of order with increasing...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/66131
Source: Philosophical Magazine
DOI: 10.1080/14786435.2011.613861

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