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

Loading...
Thumbnail Image
Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2005
Major/Subject
Mcode
Degree programme
Language
en
Pages
094904/1-7
Series
The Journal of Chemical Physics, Volume 122, Issue 9
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.
Description
Keywords
polymers, diffusion, hydrodynamics, tensor methods, polymer dynamics, scaling, dynamical scaling, Zimm model
Other note
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).