Exact finite-size scaling for the random-matrix representation of bond percolation on square lattice.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0079323
Abstract: We report on the exact treatment of a random-matrix representation of a bond-percolation model on a square lattice in two dimensions with occupation probability p. The percolation problem is mapped onto a random complex matrix… read more here.
Keywords: percolation; matrix representation; representation bond; square lattice ... See more keywords
Percolation thresholds on high-dimensional D_{n} and E_{8}-related lattices.
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DOI: 10.1103/physreve.103.062115
Abstract: The site and bond percolation problems are conventionally studied on (hyper)cubic lattices, which afford straightforward numerical treatments. The recent implementation of efficient simulation algorithms for high-dimensional systems now also facilitates the study of D_{n} root… read more here.
Keywords: high dimensional; bond percolation; thresholds high; related lattices ... See more keywords
Statistical mechanics of high-density bond percolation.
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DOI: 10.1103/physreve.97.052119
Abstract: High-density (HD) percolation describes the percolation of specific κ-clusters, which are the compact sets of sites each connected to κ nearest filled sites at least. It takes place in the classical patterns of independently distributed… read more here.
Keywords: statistical mechanics; high density; percolation; bond percolation ... See more keywords
A Boltzmann Approach to Percolation on Random Triangulations
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DOI: 10.4153/cjm-2018-009-x
Abstract: Abstract We study the percolation model on Boltzmann triangulations using a generating function approach. More precisely, we consider a Boltzmann model on the set of finite planar triangulations, together with a percolation configuration (either site-percolation… read more here.
Keywords: site percolation; bond percolation; approach; approach percolation ... See more keywords