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

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Percolation Threshold
thresholds
Critical Threshold
Computing
Monte Carlo Algorithm
disintegration
activated carbon
Nanotubes
Model
Critical Exponents
Three-dimension
nanotubes
Two Dimensions
Carbon
Efficient Algorithms
exponents
Calculate
estimates
Estimate
Class

ASJC Scopus subject areas

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

Cite this

Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation. / Szczygieł, Bartłomiej; Dudyński, Marek; Kwiatkowski, Kamil; Lewenstein, Maciej; Lapeyre, Gerald John; Wehr, Jan.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 93, No. 2, 022127, 18.02.2016.

Research output: Contribution to journalArticle

Szczygieł, Bartłomiej ; Dudyński, Marek ; Kwiatkowski, Kamil ; Lewenstein, Maciej ; Lapeyre, Gerald John ; Wehr, Jan. / Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2016 ; Vol. 93, No. 2.
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