Fractal dimensions and corrections to scaling for critical potts clusters

Amnon Aharony*, Joonas Asikainen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

Renormalization group and Coulomb gas mappings are used to derive theoretical predictions for the corrections to the exactly known asymptotic fractal masses of the hull, external perimeter, singly connected bonds and total mass of the Fortuin-Kasteleyn clusters for two-dimensional q-state Potts models at criticality. For q = 4 these include exact logarithmic (as well as log-log) corrections.

Original languageEnglish
Pages (from-to)3-7
Number of pages5
JournalFractals
Volume11
Issue numberSUPPL.
DOIs
StatePublished - Feb 2003

Funding

FundersFunder number
German-Israeli Foundation for Scientific Research and Development

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