Monte Carlo renormalisation-group approach to percolation on a continuum: test of universality
- 1 February 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (2) , L31-L37
- https://doi.org/10.1088/0305-4470/14/2/003
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.Keywords
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