Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation
| Autor: | Kamil Kwiatkowski, Gerald J. Lapeyre, Marek Dudyński, Maciej Lewenstein, Bartłomiej Szczygieł, Jan Wehr |
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| Přispěvatelé: | European Research Council |
| Rok vydání: | 2016 |
| Předmět: |
Statistical Mechanics (cond-mat.stat-mech)
computer.internet_protocol 82B43 Activated carbon Percolation models FOS: Physical sciences QUIC Percolation thresholds Nanotechnology Percolation threshold 02 engineering and technology Bond formation 021001 nanoscience & nanotechnology 01 natural sciences Carbon Physics - Data Analysis Statistics and Probability 0103 physical sciences Christian ministry 010306 general physics 0210 nano-technology computer Mathematical economics Condensed Matter - Statistical Mechanics Data Analysis Statistics and Probability (physics.data-an) Mathematics |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname Physical Review E |
| Popis: | 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. © 2016 American Physical Society. This work has been partially supported by the Iuventus Plus programme founded by the Polish Ministry of Science and Higher Education (IP2014 024373). M.L. acknowledges Spanish MINECO Project FOQUS (FIS2013-46768), ERC AdG OSYRIS, EU IP SIQS, EU STREPEQuaM, and EU FETPROACT QUIC. J.W. has been partially funded by NSF grant DMS 131271. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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