Reptation of star polymers in a network: Monte Carlo results of diffusion coefficients

TL;DR

This study uses Monte Carlo simulations to analyze the diffusion behavior of star polymers in a network, confirming some theoretical predictions while revealing new dependencies on the number of arms.

Contribution

The paper provides novel Monte Carlo simulation results on star polymer diffusion, highlighting the influence of arm number and challenging existing theoretical models.

Findings

Diffusion coefficients agree with Helfand-Pearson exponential factor =0.29

Pre-exponential power law exponent =2 found in data

Number of arms f affects pre-exponential factor as exp(-0.75 f)

Abstract

We report on Monte Carlo results of diffusion coefficients of lattice star polymers trapped inside a fixed network (de Gennes model). It is found that our data are in agreement with the Helfand-Pearson exponential factor \alpha=0.29. For the pre-exponential power law exponent we find \beta=2. In contrast to existing theoretical predictions, we find that the number of arms f leads to a pre-exponential factor of the form exp(-0.75 f).