Density fluctuations of polymers in disordered media

TL;DR

This paper investigates how polymers behave in disordered media, revealing multifractal density fluctuations that change with the environment's screening length, providing insights into polymer statistics in complex systems.

Contribution

It demonstrates that monomer density in polymers within disordered media exhibits multifractal behavior, and identifies how this behavior is affected by the screening length.

Findings

Monomer density statistics are multifractal in disordered environments.

Multifractality persists even far from the percolation threshold.

Multifractal behavior ceases beyond the solution's screening length.

Abstract

We study self avoiding random walks in an environment where sites are excluded randomly, in two and three dimensions. For a single polymer chain, we study the statistics of the time averaged monomer density and show that these are well described by multifractal statistics. This is true even far from the percolation transition of the disordered medium. We investigate solutions of chains in a disordered environment and show that the statistics cease to be multifractal beyond the screening length of the solution.