Critical behaviour in parabolic geometries

Preprint

28 June 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0106602

Abstract

We study two-dimensional systems with boundary curves described by power laws. Using conformal mappings we obtain the correlations at the bulk critical point. Three different classes of behaviour are found and explained by scaling arguments which also apply to higher dimensions. For an Ising system of parabolic shape the behaviour of the order at the tip is also found.

Keywords

PARABOLIC GEOMETRIES
DIMENSIONAL SYSTEMS
CRITICAL BEHAVIOUR
CURVES DESCRIBED
BOUNDARY CURVES
CRITICAL POINT
BULK CRITICAL
ISING SYSTEM

All Related Versions

Version 1, 2001-06-28, ArXiv
Published version: Journal of Physics A: General Physics, 24 (20), L1229.

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