Crossover from reptation to Rouse dynamics in a one-dimensional model

TL;DR

This paper introduces a one-dimensional polymer model that transitions from reptation to Rouse dynamics by enabling hernia creation and annihilation, analyzed using density matrix techniques for finite-size scaling.

Contribution

It presents a novel one-dimensional model capturing the crossover between reptation and Rouse dynamics with an exact analytical approach.

Findings

Demonstrates the crossover behavior in polymer dynamics

Provides finite-size scaling analysis of the model

Shows the impact of hernia processes on polymer motion

Abstract

A simple one-dimensional model is constructed for polymer motion. It exhibits the crossover from reptation to Rouse dynamics through gradually allowing hernia creation and annihilation. The model is treated by the density matrix technique which permits an accurate finite-size-scaling analysis of the behavior of long polymers.