In a search for a shape maximizing packing fraction for two-dimensional random sequential adsorption.
Identifieur interne : 001207 ( Main/Exploration ); précédent : 001206; suivant : 001208In a search for a shape maximizing packing fraction for two-dimensional random sequential adsorption.
Auteurs : Michał Cie La [Pologne] ; Grzegorz Paja K [Pologne] ; Robert M. Ziff [États-Unis]Source :
- The Journal of chemical physics [ 1089-7690 ] ; 2016.
Abstract
Random sequential adsorption of various two dimensional objects is studied in order to find a shape which maximizes the saturated packing fraction. This investigation was begun in our previous paper [Cieśla et al., Phys. Chem. Chem. Phys. 17, 24376 (2015)], where the densest packing was studied for smoothed dimers. Here this shape is compared with the smoothed n-mers, spherocylinders, and ellipses. It is found that the highest packing fraction out of the studied shapes is 0.584 05 ± 0.0001 and is obtained for ellipses having long-to-short axis ratio of 1.85 ± 0.07.
DOI: 10.1063/1.4959584
PubMed: 27475387
Affiliations:
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Smoluchowski Institute of Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland.</nlm:affiliation><country xml:lang="fr">Pologne</country><wicri:regionArea>Department of Statistical Physics, M. Smoluchowski Institute of Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków</wicri:regionArea><wicri:noRegion>30-348 Kraków</wicri:noRegion></affiliation></author><author><name sortKey="Paja K, Grzegorz" sort="Paja K, Grzegorz" uniqKey="Paja K G" first="Grzegorz" last="Paja K">Grzegorz Paja K</name><affiliation wicri:level="1"><nlm:affiliation>Department of Statistical Physics, M. Smoluchowski Institute of Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland.</nlm:affiliation><country xml:lang="fr">Pologne</country><wicri:regionArea>Department of Statistical Physics, M. Smoluchowski Institute of Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków</wicri:regionArea><wicri:noRegion>30-348 Kraków</wicri:noRegion></affiliation></author><author><name sortKey="Ziff, Robert M" sort="Ziff, Robert M" uniqKey="Ziff R" first="Robert M" last="Ziff">Robert M. Ziff</name><affiliation wicri:level="1"><nlm:affiliation>Center for the Study of Complex Systems and Department of Chemical Engineering, University of Michigan, Ann Arbor Michigan 48109-2136, USA.</nlm:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Center for the Study of Complex Systems and Department of Chemical Engineering, University of Michigan, Ann Arbor Michigan 48109-2136</wicri:regionArea><wicri:noRegion>Ann Arbor Michigan 48109-2136</wicri:noRegion></affiliation></author></analytic><series><title level="j">The Journal of chemical physics</title><idno type="eISSN">1089-7690</idno><imprint><date when="2016" type="published">2016</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Random sequential adsorption of various two dimensional objects is studied in order to find a shape which maximizes the saturated packing fraction. This investigation was begun in our previous paper [Cieśla et al., Phys. Chem. Chem. Phys. 17, 24376 (2015)], where the densest packing was studied for smoothed dimers. Here this shape is compared with the smoothed n-mers, spherocylinders, and ellipses. It is found that the highest packing fraction out of the studied shapes is 0.584 05 ± 0.0001 and is obtained for ellipses having long-to-short axis ratio of 1.85 ± 0.07. </div></front></TEI><affiliations><list><country><li>Pologne</li><li>États-Unis</li></country></list><tree><country name="Pologne"><noRegion><name sortKey="Cie La, Michal" sort="Cie La, Michal" uniqKey="Cie La M" first="Michał" last="Cie La">Michał Cie La</name></noRegion><name sortKey="Paja K, Grzegorz" sort="Paja K, Grzegorz" uniqKey="Paja K G" first="Grzegorz" last="Paja K">Grzegorz Paja K</name></country><country name="États-Unis"><noRegion><name sortKey="Ziff, Robert M" sort="Ziff, Robert M" uniqKey="Ziff R" first="Robert M" last="Ziff">Robert M. 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