Dynamics and Scaling of 2D Polymers in a Dilute Solution

TL;DR

This paper demonstrates through simulations and analysis that dynamical scaling in dilute 2D polymer solutions holds when finite-size effects are properly considered, challenging previous suggestions of breakdown.

Contribution

The study provides the first comprehensive numerical and analytical verification of dynamical scaling in 2D polymers with hydrodynamic interactions, using novel simulation methods.

Findings

Dynamical scaling holds in 2D polymers when finite-size effects are included.

Large-scale simulations confirm the analytical predictions.

Finite-size dependence is crucial for understanding polymer dynamics.

Abstract

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.