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Dynamics and Scaling of Polymers in a Dilute Solution: Analytical Treatment in Two and Higher Dimensions

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Punkkinen, O.
dc.contributor.author Falck, E.
dc.contributor.author Vattulainen, Ilpo
dc.contributor.author Ala-Nissilä, Tapio
dc.date.accessioned 2015-04-21T09:01:14Z
dc.date.available 2015-04-21T09:01:14Z
dc.date.issued 2005
dc.identifier.citation Punkkinen, O. & Falck, E. & Vattulainen, I. & Ala-Nissilä, Tapio. 2005. Dynamics and Scaling of Polymers in a Dilute Solution: Analytical Treatment in Two and Higher Dimensions. The Journal of Chemical Physics. Volume 122, Issue 9. P. 094904/1-7. ISSN 1089-7690 (electronic). ISSN 0021-9606 (printed). en
dc.identifier.issn 1089-7690 (electronic)
dc.identifier.issn 0021-9606 (printed)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/15713
dc.description.abstract We consider the dynamical scaling of a single polymer chain in good solvent. In the case of two-dimensional systems, Shannon and Choy [Phys. Rev. Lett.79, 1455 (1997)] have suggested that the dynamical scaling for a dilute polymer solution breaks down. Using scaling arguments and analytical calculations based on the Zimm model, we show that the dynamical scaling of a dilute two-dimensional polymer system holds when the relevant dynamical quantities are properly extracted from finite systems. Most important, the polymerdiffusion coefficient in two dimensions scales logarithmically with system size, in excellent agreement with our extensive computer simulations. This scaling is the reason for the failure of the previous attempts to resolve the dynamical scaling of dilute two-dimensional polymer systems. In three and higher dimensions our analytic calculations are in agreement with previous results in the literature. en
dc.format.extent 094904/1-7
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher AIP Publishing en
dc.relation.ispartofseries The Journal of Chemical Physics en
dc.relation.ispartofseries Volume 122, Issue 9
dc.rights © 2005 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. http://scitation.aip.org/content/aip/journal/jcp en
dc.subject.other Physics en
dc.title Dynamics and Scaling of Polymers in a Dilute Solution: Analytical Treatment in Two and Higher Dimensions en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.rights.holder American Institute of Physics
dc.contributor.school Perustieteiden korkeakoulu fi
dc.contributor.school School of Science en
dc.contributor.department Department of Applied Physics en
dc.contributor.department Teknillisen fysiikan laitos fi
dc.subject.keyword polymers en
dc.subject.keyword diffusion en
dc.subject.keyword hydrodynamics en
dc.subject.keyword tensor methods en
dc.subject.keyword polymer dynamics en
dc.subject.keyword scaling en
dc.subject.keyword dynamical scaling en
dc.subject.keyword Zimm model en
dc.identifier.urn URN:NBN:fi:aalto-201504212372
dc.type.dcmitype text en
dc.type.version Final published version en

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