Scaling of dynamics in 2d semi-dilute polymer solutions (original) (raw)

Dynamics and scaling of two-dimensional polymers in a dilute solution

Physical review. E, Statistical, nonlinear, and soft matter physics, 2003

The breakdown of dynamical scaling for a dilute polymer solution in two dimensions has been suggested by Shannon and Choy [Phys. Rev. Lett. 79, 1455 (1997)]. However, we show here through extensive computer simulations that dynamical scaling holds when the relevant dynamical quantities are properly extracted from finite systems. To verify dynamical scaling, we present results based on mesoscopic simulations in two dimensions for a polymer chain in a good solvent with full hydrodynamic interactions. We also present analytical arguments for the size dependence of the diffusion coefficient and find excellent agreement with the present large-scale simulations.

Dynamics and Scaling of 2D Polymers in a Dilute Solution

2003

The breakdown of dynamical scaling for a dilute polymer solution in 2D has been suggested by Shannon and Choy [Phys. Rev. Lett. {\bf 79}, 1455 (1997)]. However, we show here both numerically and analytically that dynamical scaling holds when the finite-size dependence of the relevant dynamical quantities is properly taken into account. We carry out large-scale simulations in 2D for a polymer chain in a good solvent with full hydrodynamic interactions to verify dynamical scaling. This is achieved by novel mesoscopic simulation techniques.

The Dynamics of Polymer Chains in Solution

New Trends in Nonionic (Co)Polymers and Hybrids, 2006

The physical properties and processing behavior of polymers are related to the broad range of length and times scales over which dynamical processes occur. The theory has undergone significant evolution over the last decades due to the introduction of new methods and concepts that have extended the frontier from dilute solutions, in which polymers move independently, to concentrated solutions, where many macromolecules entangle. The aim of this chapter is to review briefly the background of polymer dynamics in solution and to provide the recent achievements in this field. A good understanding of polymer dynamics in solution and the possibility to predict their behavior under flow in different media may help out to a large extent to the synthesis of high-performance polymers, with tailored properties.