Discrete anchoring: Bulk-substrate coupling in lattice models

 
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1998 (EN)
Discrete anchoring: Bulk-substrate coupling in lattice models (EN)

Papatriantafillou, C (EN)
Taylor, PL (EN)
Paraskevaidis, CE (EN)
Mulder, BM (EN)

N/A (EN)

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)

journalArticle

Phase equilibria (EN)
Lattice models (EN)
Approximation theory (EN)
Liquid crystal displays (EN)
Mathematical models (EN)
Potts model (EN)
Lattice vibrations (EN)
Discrete anchoring (EN)
Anchoring (EN)
Substrates (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Physica A: Statistical Mechanics and its Applications (EN)

1998


ELSEVIER SCIENCE BV (EN)



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