Particle Dispersion on Rapidly Folding Random Hetero-Polymers

TL;DR

This paper studies how particles move along rapidly folding disordered hetero-polymers, revealing universal diffusion behavior influenced by disorder and potential structure, with implications for biological translocation processes.

Contribution

It introduces a model for particle dynamics on rapidly folding hetero-polymers, highlighting universal dispersion behavior and the impact of disordered potential structures.

Findings

Dispersion speed is universal, independent of folding statistics.

Disorder strongly influences particle diffusion.

Results relate to biological translocation phenomena.

Abstract

We investigate the dynamics of a particle moving randomly along a disordered hetero-polymer subjected to rapid conformational changes which induce superdiffusive motion in chemical coordinates. We study the antagonistic interplay between the enhanced diffusion and the quenched disorder. The dispersion speed exhibits universal behavior independent of the folding statistics. On the other hand it is strongly affected by the structure of the disordered potential. The results may serve as a reference point for a number of translocation phenomena observed in biological cells, such as protein dynamics on DNA strands.