Site-bond percolation of polyatomic species.
Identifieur interne : 000409 ( Ncbi/Merge ); précédent : 000408; suivant : 000410Site-bond percolation of polyatomic species.
Auteurs : M. Dolz [Argentine] ; F. Nieto ; A J Ramirez-PastorSource :
- Physical review. E, Statistical, nonlinear, and soft matter physics [ 1539-3755 ] ; 2005.
Abstract
A generalization of the classical monomer site-bond percolation problem is studied in which linear k-uples of nearest neighbor sites (site k-mers) and linear k-uples of nearest neighbor bonds (bond k-mers) are independently occupied at random on a square lattice. We called this model the site-bond percolation of polyatomic species or k-mer site-bond percolation. Motivated by considerations of cluster connectivity, we have used two distinct schemes (denoted as S intersection of B and S union of B) for k-mer site-bond percolation. In S intersection of B(S union of B), two points are said to be connected if a sequence of occupied sites and (or) bonds joins them. By using Monte Carlo simulations and finite-size scaling theory, data from S intersection of B and S union of B are analyzed in order to determine the critical curves separating the percolating and nonpercolating regions.
DOI: 10.1103/PhysRevE.72.066129
PubMed: 16486032
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Dolz</name><affiliation wicri:level="1"><nlm:affiliation>Centro Atómico Bariloche, CONICET, Avenida Bustillo 9500, 8400 S. C. de Bariloche, Argentina. mdolz@cabbat1.cnea.gov.ar</nlm:affiliation><country xml:lang="fr">Argentine</country><wicri:regionArea>Centro Atómico Bariloche, CONICET, Avenida Bustillo 9500, 8400 S. C. de Bariloche</wicri:regionArea><wicri:noRegion>8400 S. C. de Bariloche</wicri:noRegion></affiliation></author><author><name sortKey="Nieto, F" sort="Nieto, F" uniqKey="Nieto F" first="F" last="Nieto">F. Nieto</name></author><author><name sortKey="Ramirez Pastor, A J" sort="Ramirez Pastor, A J" uniqKey="Ramirez Pastor A" first="A J" last="Ramirez-Pastor">A J Ramirez-Pastor</name></author></analytic><series><title level="j">Physical review. 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By using Monte Carlo simulations and finite-size scaling theory, data from S intersection of B and S union of B are analyzed in order to determine the critical curves separating the percolating and nonpercolating regions.</div></front></TEI><pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">16486032</PMID><DateCompleted><Year>2006</Year><Month>08</Month><Day>04</Day></DateCompleted><DateRevised><Year>2006</Year><Month>02</Month><Day>20</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Print">1539-3755</ISSN><JournalIssue CitedMedium="Print"><Volume>72</Volume><Issue>6 Pt 2</Issue><PubDate><Year>2005</Year><Month>Dec</Month></PubDate></JournalIssue><Title>Physical review. E, Statistical, nonlinear, and soft matter physics</Title><ISOAbbreviation>Phys Rev E Stat Nonlin Soft Matter Phys</ISOAbbreviation></Journal><ArticleTitle>Site-bond percolation of polyatomic species.</ArticleTitle><Pagination><MedlinePgn>066129</MedlinePgn></Pagination><Abstract><AbstractText>A generalization of the classical monomer site-bond percolation problem is studied in which linear k-uples of nearest neighbor sites (site k-mers) and linear k-uples of nearest neighbor bonds (bond k-mers) are independently occupied at random on a square lattice. We called this model the site-bond percolation of polyatomic species or k-mer site-bond percolation. Motivated by considerations of cluster connectivity, we have used two distinct schemes (denoted as S intersection of B and S union of B) for k-mer site-bond percolation. In S intersection of B(S union of B), two points are said to be connected if a sequence of occupied sites and (or) bonds joins them. 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