Critical behaviour in parabolic geometries

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

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/17942

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0106602
 http://arxiv.org/abs/cond-mat/0106602
 J. Phys. A 24 (1991) L1229
 doi:10.1088/0305-4470/24/20/004

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arXiv