Site trimer percolation on square lattices.
Identifieur interne : 001508 ( PubMed/Corpus ); précédent : 001507; suivant : 001509Site trimer percolation on square lattices.
Auteurs : W. Lebrecht ; E E Vogel ; J F Valdés ; A J Ramirez-Pastor ; P M Centres ; M I González ; F D NietoSource :
- Physical review. E, Statistical, nonlinear, and soft matter physics [ 1550-2376 ] ; 2015.
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
Links to Exploration step
pubmed:26274146Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Site trimer percolation on square lattices.</title>
<author><name sortKey="Lebrecht, W" sort="Lebrecht, W" uniqKey="Lebrecht W" first="W" last="Lebrecht">W. Lebrecht</name>
<affiliation><nlm:affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Vogel, E E" sort="Vogel, E E" uniqKey="Vogel E" first="E E" last="Vogel">E E Vogel</name>
<affiliation><nlm:affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Valdes, J F" sort="Valdes, J F" uniqKey="Valdes J" first="J F" last="Valdés">J F Valdés</name>
<affiliation><nlm:affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</nlm:affiliation>
</affiliation>
</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>
<affiliation><nlm:affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Centres, P M" sort="Centres, P M" uniqKey="Centres P" first="P M" last="Centres">P M Centres</name>
<affiliation><nlm:affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Gonzalez, M I" sort="Gonzalez, M I" uniqKey="Gonzalez M" first="M I" last="González">M I González</name>
<affiliation><nlm:affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Nieto, F D" sort="Nieto, F D" uniqKey="Nieto F" first="F D" last="Nieto">F D Nieto</name>
<affiliation><nlm:affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</nlm:affiliation>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">PubMed</idno>
<date when="2015">2015</date>
<idno type="RBID">pubmed:26274146</idno>
<idno type="pmid">26274146</idno>
<idno type="doi">10.1103/PhysRevE.92.012129</idno>
<idno type="wicri:Area/PubMed/Corpus">001508</idno>
<idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">001508</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Site trimer percolation on square lattices.</title>
<author><name sortKey="Lebrecht, W" sort="Lebrecht, W" uniqKey="Lebrecht W" first="W" last="Lebrecht">W. Lebrecht</name>
<affiliation><nlm:affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Vogel, E E" sort="Vogel, E E" uniqKey="Vogel E" first="E E" last="Vogel">E E Vogel</name>
<affiliation><nlm:affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Valdes, J F" sort="Valdes, J F" uniqKey="Valdes J" first="J F" last="Valdés">J F Valdés</name>
<affiliation><nlm:affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</nlm:affiliation>
</affiliation>
</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>
<affiliation><nlm:affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Centres, P M" sort="Centres, P M" uniqKey="Centres P" first="P M" last="Centres">P M Centres</name>
<affiliation><nlm:affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Gonzalez, M I" sort="Gonzalez, M I" uniqKey="Gonzalez M" first="M I" last="González">M I González</name>
<affiliation><nlm:affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</nlm:affiliation>
</affiliation>
</author>
<author><name sortKey="Nieto, F D" sort="Nieto, F D" uniqKey="Nieto F" first="F D" last="Nieto">F D Nieto</name>
<affiliation><nlm:affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</nlm:affiliation>
</affiliation>
</author>
</analytic>
<series><title level="j">Physical review. E, Statistical, nonlinear, and soft matter physics</title>
<idno type="eISSN">1550-2376</idno>
<imprint><date when="2015" type="published">2015</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass></textClass>
</profileDesc>
</teiHeader>
<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>
</front>
</TEI>
<pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">26274146</PMID>
<DateCompleted><Year>2015</Year>
<Month>10</Month>
<Day>26</Day>
</DateCompleted>
<DateRevised><Year>2015</Year>
<Month>08</Month>
<Day>15</Day>
</DateRevised>
<Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">1550-2376</ISSN>
<JournalIssue CitedMedium="Internet"><Volume>92</Volume>
<Issue>1</Issue>
<PubDate><Year>2015</Year>
<Month>Jul</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 trimer percolation on square lattices.</ArticleTitle>
<Pagination><MedlinePgn>012129</MedlinePgn>
</Pagination>
<Abstract><AbstractText>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.</AbstractText>
</Abstract>
<AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Lebrecht</LastName>
<ForeName>W</ForeName>
<Initials>W</Initials>
<AffiliationInfo><Affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</Affiliation>
</AffiliationInfo>
</Author>
<Author ValidYN="Y"><LastName>Vogel</LastName>
<ForeName>E E</ForeName>
<Initials>EE</Initials>
<AffiliationInfo><Affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</Affiliation>
</AffiliationInfo>
</Author>
<Author ValidYN="Y"><LastName>Valdés</LastName>
<ForeName>J F</ForeName>
<Initials>JF</Initials>
<AffiliationInfo><Affiliation>Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.</Affiliation>
</AffiliationInfo>
</Author>
<Author ValidYN="Y"><LastName>Ramirez-Pastor</LastName>
<ForeName>A J</ForeName>
<Initials>AJ</Initials>
<AffiliationInfo><Affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</Affiliation>
</AffiliationInfo>
</Author>
<Author ValidYN="Y"><LastName>Centres</LastName>
<ForeName>P M</ForeName>
<Initials>PM</Initials>
<AffiliationInfo><Affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</Affiliation>
</AffiliationInfo>
</Author>
<Author ValidYN="Y"><LastName>González</LastName>
<ForeName>M I</ForeName>
<Initials>MI</Initials>
<AffiliationInfo><Affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</Affiliation>
</AffiliationInfo>
</Author>
<Author ValidYN="Y"><LastName>Nieto</LastName>
<ForeName>F D</ForeName>
<Initials>FD</Initials>
<AffiliationInfo><Affiliation>Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.</Affiliation>
</AffiliationInfo>
</Author>
</AuthorList>
<Language>eng</Language>
<PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType>
</PublicationTypeList>
<ArticleDate DateType="Electronic"><Year>2015</Year>
<Month>07</Month>
<Day>23</Day>
</ArticleDate>
</Article>
<MedlineJournalInfo><Country>United States</Country>
<MedlineTA>Phys Rev E Stat Nonlin Soft Matter Phys</MedlineTA>
<NlmUniqueID>101136452</NlmUniqueID>
<ISSNLinking>1539-3755</ISSNLinking>
</MedlineJournalInfo>
</MedlineCitation>
<PubmedData><History><PubMedPubDate PubStatus="received"><Year>2015</Year>
<Month>04</Month>
<Day>29</Day>
</PubMedPubDate>
<PubMedPubDate PubStatus="entrez"><Year>2015</Year>
<Month>8</Month>
<Day>15</Day>
<Hour>6</Hour>
<Minute>0</Minute>
</PubMedPubDate>
<PubMedPubDate PubStatus="pubmed"><Year>2015</Year>
<Month>8</Month>
<Day>15</Day>
<Hour>6</Hour>
<Minute>0</Minute>
</PubMedPubDate>
<PubMedPubDate PubStatus="medline"><Year>2015</Year>
<Month>8</Month>
<Day>15</Day>
<Hour>6</Hour>
<Minute>1</Minute>
</PubMedPubDate>
</History>
<PublicationStatus>ppublish</PublicationStatus>
<ArticleIdList><ArticleId IdType="pubmed">26274146</ArticleId>
<ArticleId IdType="doi">10.1103/PhysRevE.92.012129</ArticleId>
</ArticleIdList>
</PubmedData>
</pubmed>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Sante/explor/MersV1/Data/PubMed/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001508 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/PubMed/Corpus/biblio.hfd -nk 001508 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Sante |area= MersV1 |flux= PubMed |étape= Corpus |type= RBID |clé= pubmed:26274146 |texte= Site trimer percolation on square lattices. }}
Pour générer des pages wiki
HfdIndexSelect -h $EXPLOR_AREA/Data/PubMed/Corpus/RBID.i -Sk "pubmed:26274146" \ | HfdSelect -Kh $EXPLOR_AREA/Data/PubMed/Corpus/biblio.hfd \ | NlmPubMed2Wicri -a MersV1
![]() | This area was generated with Dilib version V0.6.33. | ![]() |