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

T. Vicsek, J. Kertesz

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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
Pages (from-to)L31-L37
JournalJournal of Physics D: Applied Physics
Volume14
Issue number2
DOIs
Publication statusPublished - Dec 1 1981

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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