Jammed systems of oriented needles always percolate on square lattices.
Identifieur interne : 000D29 ( Main/Exploration ); précédent : 000D28; suivant : 000D30Jammed systems of oriented needles always percolate on square lattices.
Auteurs : Grzegorz Kondrat [Pologne] ; Zbigniew Koza [Pologne] ; Piotr Brzeski [Pologne]Source :
- Physical review. E [ 2470-0053 ] ; 2017.
Abstract
Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Several studies have recently conjectured that in the RSA of rectangular needles, or k-mers, on a square lattice, percolation is impossible if the needles are sufficiently long (k of order of several thousand). We refute these claims and present rigorous proof that in any jammed configuration of nonoverlapping, fixed-length, horizontal, or vertical needles on a square lattice, all clusters are percolating clusters.
DOI: 10.1103/PhysRevE.96.022154
PubMed: 28950504
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream PubMed, to step Corpus: 000B41
- to stream PubMed, to step Curation: 000B41
- to stream PubMed, to step Checkpoint: 000C54
- to stream Ncbi, to step Merge: 001B93
- to stream Ncbi, to step Curation: 001B93
- to stream Ncbi, to step Checkpoint: 001B93
- to stream Main, to step Merge: 000D32
- to stream Main, to step Curation: 000D29
Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Jammed systems of oriented needles always percolate on square lattices.</title>
<author><name sortKey="Kondrat, Grzegorz" sort="Kondrat, Grzegorz" uniqKey="Kondrat G" first="Grzegorz" last="Kondrat">Grzegorz Kondrat</name>
<affiliation wicri:level="1"><nlm:affiliation>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław, Poland.</nlm:affiliation>
<country xml:lang="fr">Pologne</country>
<wicri:regionArea>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław</wicri:regionArea>
<wicri:noRegion>50-204 Wrocław</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Koza, Zbigniew" sort="Koza, Zbigniew" uniqKey="Koza Z" first="Zbigniew" last="Koza">Zbigniew Koza</name>
<affiliation wicri:level="1"><nlm:affiliation>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław, Poland.</nlm:affiliation>
<country xml:lang="fr">Pologne</country>
<wicri:regionArea>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław</wicri:regionArea>
<wicri:noRegion>50-204 Wrocław</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Brzeski, Piotr" sort="Brzeski, Piotr" uniqKey="Brzeski P" first="Piotr" last="Brzeski">Piotr Brzeski</name>
<affiliation wicri:level="1"><nlm:affiliation>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław, Poland.</nlm:affiliation>
<country xml:lang="fr">Pologne</country>
<wicri:regionArea>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław</wicri:regionArea>
<wicri:noRegion>50-204 Wrocław</wicri:noRegion>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">PubMed</idno>
<date when="2017">2017</date>
<idno type="RBID">pubmed:28950504</idno>
<idno type="pmid">28950504</idno>
<idno type="doi">10.1103/PhysRevE.96.022154</idno>
<idno type="wicri:Area/PubMed/Corpus">000B41</idno>
<idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">000B41</idno>
<idno type="wicri:Area/PubMed/Curation">000B41</idno>
<idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Curation">000B41</idno>
<idno type="wicri:Area/PubMed/Checkpoint">000C54</idno>
<idno type="wicri:explorRef" wicri:stream="Checkpoint" wicri:step="PubMed">000C54</idno>
<idno type="wicri:Area/Ncbi/Merge">001B93</idno>
<idno type="wicri:Area/Ncbi/Curation">001B93</idno>
<idno type="wicri:Area/Ncbi/Checkpoint">001B93</idno>
<idno type="wicri:Area/Main/Merge">000D32</idno>
<idno type="wicri:Area/Main/Curation">000D29</idno>
<idno type="wicri:Area/Main/Exploration">000D29</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Jammed systems of oriented needles always percolate on square lattices.</title>
<author><name sortKey="Kondrat, Grzegorz" sort="Kondrat, Grzegorz" uniqKey="Kondrat G" first="Grzegorz" last="Kondrat">Grzegorz Kondrat</name>
<affiliation wicri:level="1"><nlm:affiliation>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław, Poland.</nlm:affiliation>
<country xml:lang="fr">Pologne</country>
<wicri:regionArea>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław</wicri:regionArea>
<wicri:noRegion>50-204 Wrocław</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Koza, Zbigniew" sort="Koza, Zbigniew" uniqKey="Koza Z" first="Zbigniew" last="Koza">Zbigniew Koza</name>
<affiliation wicri:level="1"><nlm:affiliation>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław, Poland.</nlm:affiliation>
<country xml:lang="fr">Pologne</country>
<wicri:regionArea>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław</wicri:regionArea>
<wicri:noRegion>50-204 Wrocław</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Brzeski, Piotr" sort="Brzeski, Piotr" uniqKey="Brzeski P" first="Piotr" last="Brzeski">Piotr Brzeski</name>
<affiliation wicri:level="1"><nlm:affiliation>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław, Poland.</nlm:affiliation>
<country xml:lang="fr">Pologne</country>
<wicri:regionArea>Faculty of Physics and Astronomy, University of Wrocław, 50-204 Wrocław</wicri:regionArea>
<wicri:noRegion>50-204 Wrocław</wicri:noRegion>
</affiliation>
</author>
</analytic>
<series><title level="j">Physical review. E</title>
<idno type="eISSN">2470-0053</idno>
<imprint><date when="2017" type="published">2017</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass></textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Several studies have recently conjectured that in the RSA of rectangular needles, or k-mers, on a square lattice, percolation is impossible if the needles are sufficiently long (k of order of several thousand). We refute these claims and present rigorous proof that in any jammed configuration of nonoverlapping, fixed-length, horizontal, or vertical needles on a square lattice, all clusters are percolating clusters.</div>
</front>
</TEI>
<affiliations><list><country><li>Pologne</li>
</country>
</list>
<tree><country name="Pologne"><noRegion><name sortKey="Kondrat, Grzegorz" sort="Kondrat, Grzegorz" uniqKey="Kondrat G" first="Grzegorz" last="Kondrat">Grzegorz Kondrat</name>
</noRegion>
<name sortKey="Brzeski, Piotr" sort="Brzeski, Piotr" uniqKey="Brzeski P" first="Piotr" last="Brzeski">Piotr Brzeski</name>
<name sortKey="Koza, Zbigniew" sort="Koza, Zbigniew" uniqKey="Koza Z" first="Zbigniew" last="Koza">Zbigniew Koza</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Sante/explor/MersV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000D29 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000D29 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Sante |area= MersV1 |flux= Main |étape= Exploration |type= RBID |clé= pubmed:28950504 |texte= Jammed systems of oriented needles always percolate on square lattices. }}
Pour générer des pages wiki
HfdIndexSelect -h $EXPLOR_AREA/Data/Main/Exploration/RBID.i -Sk "pubmed:28950504" \ | HfdSelect -Kh $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd \ | NlmPubMed2Wicri -a MersV1
This area was generated with Dilib version V0.6.33. |