Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation

Bartłomiej Szczygieł, Marek Dudyński, Kamil Kwiatkowski, Maciej Lewenstein, Gerald John Lapeyre, Jan Wehr

Research output: Contribution to journalArticle

Abstract

We introduce a class of discrete-continuous percolation models and an efficient Monte Carlo algorithm for computing their properties. The class is general enough to include well-known discrete and continuous models as special cases. We focus on a particular example of such a model, a nanotube model of disintegration of activated carbon. We calculate its exact critical threshold in two dimensions and obtain a Monte Carlo estimate in three dimensions. Furthermore, we use this example to analyze and characterize the efficiency of our algorithm, by computing critical exponents and properties, finding that it compares favorably to well-known algorithms for simpler systems.

Original languageEnglish (US)
Article number022127
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume93
Issue number2
DOIs
StatePublished - Feb 18 2016

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

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