MersV1, Main, Exploration, bibRecord, 001574

Site trimer percolation on square lattices.

Identifieur interne : 001574 ( Main/Exploration ); précédent : 001573; suivant : 001575

Site trimer percolation on square lattices.

Auteurs : W. Lebrecht [Chili] ; E E Vogel [Chili] ; J F Valdés [Chili] ; A J Ramirez-Pastor [Argentine] ; P M Centres [Argentine] ; M I González [Argentine] ; F D Nieto [Argentine]

Source :

Physical review. E, Statistical, nonlinear, and soft matter physics [ 1550-2376 ] ; 2015.

RBID : pubmed:26274146

Abstract

Percolation of site trimers (k-mers with k=3) is investigated in a detailed way making use of an analytical model based on renormalization techniques in this problem. Results are compared to those obtained here by means of extensive computer simulations. Five different deposition possibilities for site trimers are included according to shape and orientation of the depositing objects. Analytical results for the percolation threshold p(c) are all close to 0.55, while numerical results show a slight dispersion around this value. A comparison with p(c) values previously reported for monomers and dimers establishes the tendency of p(c) to decrease as k increases. Critical exponent ν was also obtained both by analytical and numerical methods. Results for the latter give values very close to the expected value 4/3 showing that this percolation case corresponds to the universality class of random percolation.

DOI: 10.1103/PhysRevE.92.012129
PubMed: 26274146

Affiliations:

Argentine, Chili

Le document en format XML

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<front><div type="abstract" xml:lang="en">Percolation of site trimers (k-mers with k=3) is investigated in a detailed way making use of an analytical model based on renormalization techniques in this problem. Results are compared to those obtained here by means of extensive computer simulations. Five different deposition possibilities for site trimers are included according to shape and orientation of the depositing objects. Analytical results for the percolation threshold p(c) are all close to 0.55, while numerical results show a slight dispersion around this value. A comparison with p(c) values previously reported for monomers and dimers establishes the tendency of p(c) to decrease as k increases. Critical exponent ν was also obtained both by analytical and numerical methods. Results for the latter give values very close to the expected value 4/3 showing that this percolation case corresponds to the universality class of random percolation.</div>
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Site trimer percolation on square lattices.

Site trimer percolation on square lattices.

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Abstract

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