Critical behaviour in parabolic geometries

I. Peschel, L. Turban, F. Igloi

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22 Citations (Scopus)


The authors study two-dimensional systems with boundary curves described by power laws. Using conformal mappings they 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.

Original languageEnglish
Article number004
Pages (from-to)L1229-L1234
JournalJournal of Physics A: Mathematical and General
Issue number20
Publication statusPublished - Dec 1 1991


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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