Critical behaviour in parabolic geometries
Statistical Mechanics
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/0106602,
title = {Critical behaviour in parabolic geometries},
author = {I. Peschel and L. Turban and Ferenc Igloi},
journal= {arXiv preprint arXiv:cond-mat/0106602},
year = {2007}
}
Comments
Old paper, for archiving. 6 pages, 1 figure, epsf, IOP macro