Relaxation properties in a diffusive model of k-mers with constrained movements on a triangular lattice.
Identifieur interne : 001D49 ( PubMed/Checkpoint ); précédent : 001D48; suivant : 001D50Relaxation properties in a diffusive model of k-mers with constrained movements on a triangular lattice.
Auteurs : J R Š Epanovi [Serbie] ; I. Lon Arevi ; Lj Budinski-Petkovi ; Z M Jakši ; S B VrhovacSource :
- Physical review. E, Statistical, nonlinear, and soft matter physics [ 1550-2376 ] ; 2011.
Abstract
We study the relaxation process in a two-dimensional lattice gas model, based on the concept of geometrical frustration. In this model the particles are k-mers that can both randomly translate and rotate on the planar triangular lattice. In the absence of rotation, the diffusion of hard-core particles in crossed single-file systems is investigated. We monitor, for different densities, several quantities: mean-square displacement, the self-part of the van Hove correlation function, and the self-intermediate scattering function. We observe a considerable slowing of diffusion on a long-time scale when suppressing the rotational motion of k-mers; our system is subdiffusive at intermediate times between the initial transient and the long-time diffusive regime. We show that the self-part of the van Hove correlation function exhibits, as a function of particle displacement, a stretched exponential decay at intermediate times. The self-intermediate scattering function (SISF), displaying slower than exponential relaxation, suggests the existence of heterogeneous dynamics. For each value of density, the SISF is well described by the Kohlrausch-Williams-Watts law; the characteristic timescale τ(q(n)) is found to decrease with the wave vector q(n) according to a simple power law. Furthermore, the slowing of the dynamics with density ρ(0) is consistent with the scaling law 1/τ(q(n);ρ(0))∝(ρ(c)-ρ(0))(ϰ), with the same exponent ϰ=3.34±0.12 for all wave vectors q(n). The density ρ(c) is approximately equal to the closest packing limit, θ(CPL)≲1, for dimers on the two-dimensional triangular lattice. The self-diffusion coefficient D(s) scales with the same power-law exponent and critical density.
DOI: 10.1103/PhysRevE.84.031109
PubMed: 22060330
Affiliations:
Links toward previous steps (curation, corpus...)
Links to Exploration step
pubmed:22060330Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Relaxation properties in a diffusive model of k-mers with constrained movements on a triangular lattice.</title><author><name sortKey="S Epanovi, J R" sort="S Epanovi, J R" uniqKey="S Epanovi J" first="J R" last="Š Epanovi">J R Š Epanovi</name><affiliation wicri:level="1"><nlm:affiliation>Institute of Physics, University of Belgrade, Pregrevica 118, Zemun 11080, Belgrade, Serbia.</nlm:affiliation><country xml:lang="fr">Serbie</country><wicri:regionArea>Institute of Physics, University of Belgrade, Pregrevica 118, Zemun 11080, Belgrade</wicri:regionArea><wicri:noRegion>Belgrade</wicri:noRegion></affiliation></author><author><name sortKey="Lon Arevi, I" sort="Lon Arevi, I" uniqKey="Lon Arevi I" first="I" last="Lon Arevi">I. Lon Arevi</name></author><author><name sortKey="Budinski Petkovi, Lj" sort="Budinski Petkovi, Lj" uniqKey="Budinski Petkovi L" first="Lj" last="Budinski-Petkovi">Lj Budinski-Petkovi</name></author><author><name sortKey="Jaksi, Z M" sort="Jaksi, Z M" uniqKey="Jaksi Z" first="Z M" last="Jakši">Z M Jakši</name></author><author><name sortKey="Vrhovac, S B" sort="Vrhovac, S B" uniqKey="Vrhovac S" first="S B" last="Vrhovac">S B Vrhovac</name></author></titleStmt><publicationStmt><idno type="wicri:source">PubMed</idno><date when="2011">2011</date><idno type="RBID">pubmed:22060330</idno><idno type="pmid">22060330</idno><idno type="doi">10.1103/PhysRevE.84.031109</idno><idno type="wicri:Area/PubMed/Corpus">001E38</idno><idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">001E38</idno><idno type="wicri:Area/PubMed/Curation">001E38</idno><idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Curation">001E38</idno><idno type="wicri:Area/PubMed/Checkpoint">001D49</idno><idno type="wicri:explorRef" wicri:stream="Checkpoint" wicri:step="PubMed">001D49</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Relaxation properties in a diffusive model of k-mers with constrained movements on a triangular lattice.</title><author><name sortKey="S Epanovi, J R" sort="S Epanovi, J R" uniqKey="S Epanovi J" first="J R" last="Š Epanovi">J R Š Epanovi</name><affiliation wicri:level="1"><nlm:affiliation>Institute of Physics, University of Belgrade, Pregrevica 118, Zemun 11080, Belgrade, Serbia.</nlm:affiliation><country xml:lang="fr">Serbie</country><wicri:regionArea>Institute of Physics, University of Belgrade, Pregrevica 118, Zemun 11080, Belgrade</wicri:regionArea><wicri:noRegion>Belgrade</wicri:noRegion></affiliation></author><author><name sortKey="Lon Arevi, I" sort="Lon Arevi, I" uniqKey="Lon Arevi I" first="I" last="Lon Arevi">I. Lon Arevi</name></author><author><name sortKey="Budinski Petkovi, Lj" sort="Budinski Petkovi, Lj" uniqKey="Budinski Petkovi L" first="Lj" last="Budinski-Petkovi">Lj Budinski-Petkovi</name></author><author><name sortKey="Jaksi, Z M" sort="Jaksi, Z M" uniqKey="Jaksi Z" first="Z M" last="Jakši">Z M Jakši</name></author><author><name sortKey="Vrhovac, S B" sort="Vrhovac, S B" uniqKey="Vrhovac S" first="S B" last="Vrhovac">S B Vrhovac</name></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="2011" type="published">2011</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We study the relaxation process in a two-dimensional lattice gas model, based on the concept of geometrical frustration. In this model the particles are k-mers that can both randomly translate and rotate on the planar triangular lattice. In the absence of rotation, the diffusion of hard-core particles in crossed single-file systems is investigated. We monitor, for different densities, several quantities: mean-square displacement, the self-part of the van Hove correlation function, and the self-intermediate scattering function. We observe a considerable slowing of diffusion on a long-time scale when suppressing the rotational motion of k-mers; our system is subdiffusive at intermediate times between the initial transient and the long-time diffusive regime. We show that the self-part of the van Hove correlation function exhibits, as a function of particle displacement, a stretched exponential decay at intermediate times. The self-intermediate scattering function (SISF), displaying slower than exponential relaxation, suggests the existence of heterogeneous dynamics. For each value of density, the SISF is well described by the Kohlrausch-Williams-Watts law; the characteristic timescale τ(q(n)) is found to decrease with the wave vector q(n) according to a simple power law. Furthermore, the slowing of the dynamics with density ρ(0) is consistent with the scaling law 1/τ(q(n);ρ(0))∝(ρ(c)-ρ(0))(ϰ), with the same exponent ϰ=3.34±0.12 for all wave vectors q(n). The density ρ(c) is approximately equal to the closest packing limit, θ(CPL)≲1, for dimers on the two-dimensional triangular lattice. The self-diffusion coefficient D(s) scales with the same power-law exponent and critical density.</div></front></TEI><pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">22060330</PMID><DateCompleted><Year>2012</Year><Month>06</Month><Day>12</Day></DateCompleted><DateRevised><Year>2011</Year><Month>11</Month><Day>08</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">1550-2376</ISSN><JournalIssue CitedMedium="Internet"><Volume>84</Volume><Issue>3 Pt 1</Issue><PubDate><Year>2011</Year><Month>Sep</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>Relaxation properties in a diffusive model of k-mers with constrained movements on a triangular lattice.</ArticleTitle><Pagination><MedlinePgn>031109</MedlinePgn></Pagination><Abstract><AbstractText>We study the relaxation process in a two-dimensional lattice gas model, based on the concept of geometrical frustration. In this model the particles are k-mers that can both randomly translate and rotate on the planar triangular lattice. In the absence of rotation, the diffusion of hard-core particles in crossed single-file systems is investigated. We monitor, for different densities, several quantities: mean-square displacement, the self-part of the van Hove correlation function, and the self-intermediate scattering function. We observe a considerable slowing of diffusion on a long-time scale when suppressing the rotational motion of k-mers; our system is subdiffusive at intermediate times between the initial transient and the long-time diffusive regime. We show that the self-part of the van Hove correlation function exhibits, as a function of particle displacement, a stretched exponential decay at intermediate times. The self-intermediate scattering function (SISF), displaying slower than exponential relaxation, suggests the existence of heterogeneous dynamics. For each value of density, the SISF is well described by the Kohlrausch-Williams-Watts law; the characteristic timescale τ(q(n)) is found to decrease with the wave vector q(n) according to a simple power law. Furthermore, the slowing of the dynamics with density ρ(0) is consistent with the scaling law 1/τ(q(n);ρ(0))∝(ρ(c)-ρ(0))(ϰ), with the same exponent ϰ=3.34±0.12 for all wave vectors q(n). The density ρ(c) is approximately equal to the closest packing limit, θ(CPL)≲1, for dimers on the two-dimensional triangular lattice. The self-diffusion coefficient D(s) scales with the same power-law exponent and critical density.</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Šćepanović</LastName><ForeName>J R</ForeName><Initials>JR</Initials><AffiliationInfo><Affiliation>Institute of Physics, University of Belgrade, Pregrevica 118, Zemun 11080, Belgrade, Serbia.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Lončarević</LastName><ForeName>I</ForeName><Initials>I</Initials></Author><Author ValidYN="Y"><LastName>Budinski-Petković</LastName><ForeName>Lj</ForeName><Initials>Lj</Initials></Author><Author ValidYN="Y"><LastName>Jakšić</LastName><ForeName>Z M</ForeName><Initials>ZM</Initials></Author><Author ValidYN="Y"><LastName>Vrhovac</LastName><ForeName>S B</ForeName><Initials>SB</Initials></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2011</Year><Month>09</Month><Day>07</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>2011</Year><Month>05</Month><Day>30</Day></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2011</Year><Month>11</Month><Day>9</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2011</Year><Month>11</Month><Day>9</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2011</Year><Month>11</Month><Day>9</Day><Hour>6</Hour><Minute>1</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">22060330</ArticleId><ArticleId IdType="doi">10.1103/PhysRevE.84.031109</ArticleId></ArticleIdList></PubmedData></pubmed><affiliations><list><country><li>Serbie</li></country></list><tree><noCountry><name sortKey="Budinski Petkovi, Lj" sort="Budinski Petkovi, Lj" uniqKey="Budinski Petkovi L" first="Lj" last="Budinski-Petkovi">Lj Budinski-Petkovi</name><name sortKey="Jaksi, Z M" sort="Jaksi, Z M" uniqKey="Jaksi Z" first="Z M" last="Jakši">Z M Jakši</name><name sortKey="Lon Arevi, I" sort="Lon Arevi, I" uniqKey="Lon Arevi I" first="I" last="Lon Arevi">I. Lon Arevi</name><name sortKey="Vrhovac, S B" sort="Vrhovac, S B" uniqKey="Vrhovac S" first="S B" last="Vrhovac">S B Vrhovac</name></noCountry><country name="Serbie"><noRegion><name sortKey="S Epanovi, J R" sort="S Epanovi, J R" uniqKey="S Epanovi J" first="J R" last="Š Epanovi">J R Š Epanovi</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Sante/explor/MersV1/Data/PubMed/Checkpoint
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001D49 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/PubMed/Checkpoint/biblio.hfd -nk 001D49 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Sante
|area= MersV1
|flux= PubMed
|étape= Checkpoint
|type= RBID
|clé= pubmed:22060330
|texte= Relaxation properties in a diffusive model of k-mers with constrained movements on a triangular lattice.
}}
Pour générer des pages wiki
HfdIndexSelect -h $EXPLOR_AREA/Data/PubMed/Checkpoint/RBID.i -Sk "pubmed:22060330" \
| HfdSelect -Kh $EXPLOR_AREA/Data/PubMed/Checkpoint/biblio.hfd \
| NlmPubMed2Wicri -a MersV1
| This area was generated with Dilib version V0.6.33. |  |