Percolation of polyatomic species on a simple cubic lattice
Identifieur interne : 002120 ( Main/Exploration ); précédent : 002119; suivant : 002121Percolation of polyatomic species on a simple cubic lattice
Auteurs : G. D. Garcia [Argentine] ; F. O. Sanchez-Varretti [Argentine] ; P. M. Centres [Argentine] ; A. J. Ramirez-Pastor [Argentine]Source :
- The European Physical Journal B [ 1434-6028 ] ; 2013-09-01.
English descriptors
Abstract
Abstract: In the present paper, the site-percolation problem corresponding to linear k-mers (containing k identical units, each one occupying a lattice site) on a simple cubic lattice has been studied. The k-mers were irreversibly and isotropically deposited into the lattice. Then, the percolation threshold and critical exponents were obtained by numerical simulations and finite-size scaling theory. The results, obtained for k ranging from 1 to 100, revealed that (i) the percolation threshold exhibits a decreasing function when it is plotted as a function of the k-mer size; and (ii) the phase transition occurring in the system belongs to the standard 3D percolation universality class regardless of the value of k considered.
Url:
DOI: 10.1140/epjb/e2013-40509-1
Affiliations:
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B</title><idno type="ISSN">1434-6028</idno><idno type="eISSN">1434-6036</idno><imprint><publisher>Springer Berlin Heidelberg</publisher><pubPlace>Berlin/Heidelberg</pubPlace><date type="published" when="2013-09-01">2013-09-01</date><biblScope unit="volume">86</biblScope><biblScope unit="issue">9</biblScope><biblScope unit="page" from="1">1</biblScope><biblScope unit="page" to="6">6</biblScope></imprint><idno type="ISSN">1434-6028</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">1434-6028</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Statistical and Nonlinear Physics</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: In the present paper, the site-percolation problem corresponding to linear k-mers (containing k identical units, each one occupying a lattice site) on a simple cubic lattice has been studied. The k-mers were irreversibly and isotropically deposited into the lattice. Then, the percolation threshold and critical exponents were obtained by numerical simulations and finite-size scaling theory. The results, obtained for k ranging from 1 to 100, revealed that (i) the percolation threshold exhibits a decreasing function when it is plotted as a function of the k-mer size; and (ii) the phase transition occurring in the system belongs to the standard 3D percolation universality class regardless of the value of k considered.</div></front></TEI><affiliations><list><country><li>Argentine</li></country></list><tree><country name="Argentine"><noRegion><name sortKey="Garcia, G D" sort="Garcia, G D" uniqKey="Garcia G" first="G. D." last="Garcia">G. D. Garcia</name></noRegion><name sortKey="Centres, P M" sort="Centres, P M" uniqKey="Centres P" first="P. M." last="Centres">P. M. Centres</name><name sortKey="Centres, P M" sort="Centres, P M" uniqKey="Centres P" first="P. M." last="Centres">P. 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