Critical behaviour in parabolic geometries

I. Peschel, L. Turban, F. Iglói

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

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
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number20
DOIs
Publication statusPublished - 1991

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Parabolic Geometry
Conformal mapping
Critical Behavior
Geometry
conformal mapping
Conformal Mapping
Two-dimensional Systems
geometry
Ising
Higher Dimensions
Critical point
critical point
Power Law
Scaling
scaling
Curve
curves

ASJC Scopus subject areas

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

Cite this

Critical behaviour in parabolic geometries. / Peschel, I.; Turban, L.; Iglói, F.

In: Journal of Physics A: Mathematical and General, Vol. 24, No. 20, 004, 1991.

Research output: Contribution to journalArticle

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