Random Tiling Transition in Three Dimensions

dc.creatorEbinger, W.
dc.creatorRoth, J.
dc.creatorTrebin, H. -R.
dc.date1997-06-12
dc.date.accessioned2026-07-07T03:09:05Z
dc.date.available2026-07-07T03:09:05Z
dc.descriptionThree-dimensional icosahedral random tilings are studied in the semi-entropic model. We introduce a global energy measure defined by the variance of the quasilattice points in orthogonal space. The specific heat shows a pronounced Schottky type anomaly, but it does not diverge with sample size. The flip susceptibility as defined by Dotera and Steinhardt [Phys. Rev. Lett. 72, 1670 (1994)] diverges and shifts to lower temperatures, thus indicating a transition at T=0. Contrary to the Kalugin-Katz conjecture, the self-diffusion shows a plateau at intermediate temperature ranges which is explained by energy barriers and a changing number of flipable configurations.
dc.descriptionaccepted for the Proceedings of the 6th Int. Conf. on Quasicrystals
dc.identifierhttps://arxiv.org/abs/cond-mat/9706116
dc.identifierhttp://arxiv.org/abs/cond-mat/9706116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27750
dc.subjectCondensed Matter
dc.titleRandom Tiling Transition in Three Dimensions
dc.typetext

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