Relaxation properties in a diffusive model of k-mers with constrained movements on a triangular lattice.
Identifieur interne : 002436 ( Main/Exploration ); précédent : 002435; suivant : 002437Relaxation 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:
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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><idno type="wicri:Area/Ncbi/Merge">000896</idno><idno type="wicri:Area/Ncbi/Curation">000896</idno><idno type="wicri:Area/Ncbi/Checkpoint">000896</idno><idno type="wicri:Area/Main/Merge">002461</idno><idno type="wicri:Area/Main/Curation">002436</idno><idno type="wicri:Area/Main/Exploration">002436</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><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)
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