Discrete anchoring: Bulk-substrate coupling in lattice models

Paraskevaidis, CE; Taylor, PL; Mulder, BM; Papatriantafillou, C

dc.contributor.author	Paraskevaidis, CE	en
dc.contributor.author	Taylor, PL	en
dc.contributor.author	Mulder, BM	en
dc.contributor.author	Papatriantafillou, C	en
dc.date.accessioned	2014-03-01T01:13:41Z
dc.date.available	2014-03-01T01:13:41Z
dc.date.issued	1998	en
dc.identifier.issn	0378-4371	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12662
dc.subject	Anchoring	en
dc.subject	Lattice models	en
dc.subject	Potts model	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.other	Approximation theory	en
dc.subject.other	Liquid crystal displays	en
dc.subject.other	Mathematical models	en
dc.subject.other	Phase equilibria	en
dc.subject.other	Substrates	en
dc.subject.other	Discrete anchoring	en
dc.subject.other	Potts model	en
dc.subject.other	Lattice vibrations	en
dc.title	Discrete anchoring: Bulk-substrate coupling in lattice models	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0378-4371(97)00566-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0378-4371(97)00566-9	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	We formulate the anchoring problem for discrete-state lattice models. Anchoring is the selection of a bulk equilibrium state from a degenerate set of equivalent equilibrium states in semi-infinite samples in contact with a substrate, a phenomenon widely discussed in the context of liquid crystalline displays. As a concrete example we consider this problem for the three-state Potts model employing two different approximations, viz., a layered mean-field approximation and a Bethe lattice approach. The anchoring behaviour of the model is shown to be completely determined by the symmetry properties of the Hamiltonian. (C) 1998 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Physica A: Statistical Mechanics and its Applications	en
dc.identifier.doi	10.1016/S0378-4371(97)00566-9	en
dc.identifier.isi	ISI:000072755900031	en
dc.identifier.volume	250	en
dc.identifier.issue	1-4	en
dc.identifier.spage	517	en
dc.identifier.epage	534	en