Monte Carlo renormalisation-group approach to percolation on a continuum: Test of universality

T. Vicsek, J. Kertesz

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

It is shown that a Monte Carlo renormalisation-group technique can be employed for direct renormalisation of a system on a continuum, i.e. without restriction to a periodic lattice. For the problem of overlapping discs the authors find the critical area fraction sc=0.688+or-0.005 and the correlation-length critical exponent nu =1.33+or-0.07. The latter result indicates the regular-irregular lattice universality.

Original languageEnglish
Article number003
JournalJournal of Physics A: Mathematical and General
Volume14
Issue number2
DOIs
Publication statusPublished - 1981

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Renormalization Group
Universality
Continuum
continuums
Correlation Length
Renormalization
Critical Exponents
Overlapping
Irregular
constrictions
exponents
Restriction

ASJC Scopus subject areas

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

Cite this

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