Critical behaviour in parabolic geometries

Details Critical behaviour in parabolic geometries Critical behaviour in parabolic geometries

2001-06-28

arxiv.org/abs/cond-mat/0106602v1

J. Phys. A 24 (1991) L1229

Physics

Condensed Matter

Statistical Mechanics

Old paper, for archiving. 6 pages, 1 figure, epsf, IOP macro

Scientific paper

10.1088/0305-4470/24/20/004

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.

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