Universal order-parameter profiles in confined critical systems with boundary fields
- 1 February 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (2) , L83-L88
- https://doi.org/10.1088/0305-4470/18/2/006
Abstract
The authors consider systems at the bulk critical temperature with an ordering field applied at the boundary. For various boundary geometries, universal expressions for the spatial dependence of the order parameter are obtained by conformal mapping of the known results for the half space. Analytical results for strip, wedge and other two-dimensional geometries and for systems with spherical boundaries in arbitrary dimension are given.Keywords
This publication has 11 references indexed in Scilit:
- Conformal invariance and self-avoiding walks in restricted geometriesJournal of Physics A: General Physics, 1984
- Conformal invariance and surface critical behaviorNuclear Physics B, 1984
- Conformal invariance and universality in finite-size scalingJournal of Physics A: General Physics, 1984
- Critical behaviour and associated conformal algebra of the Z3 Potts modelNuclear Physics B, 1984
- Conformal Invariance, Unitarity, and Critical Exponents in Two DimensionsPhysical Review Letters, 1984
- Infinite conformal symmetry of critical fluctuations in two dimensionsJournal of Statistical Physics, 1984
- Critical adsorption: The renormalization-group approachPhysical Review B, 1983
- New Critical Anomaly Induced in a Binary Liquid Mixture by a Selectively Adsorbing WallPhysical Review Letters, 1982
- Observation of an anomalous adsorption in a critical binary mixtureJournal de Physique Lettres, 1982
- Critical Behavior of a Semi-infinite System:-Vector Model in the Large-LimitPhysical Review Letters, 1977