Dynamic Properties of Random Heteropolymer with Correlations in Sequence

TL;DR

This paper investigates how sequence correlations in a random heteropolymer influence its dynamic properties, revealing increased friction and slowing dynamics with power-law correlations, which may relate to protein function and evolution.

Contribution

It introduces a mode coupling approximation analysis of heteropolymer dynamics, highlighting the impact of sequence correlations on friction and state transitions.

Findings

Dynamic friction increases with power-law correlations.

Strong correlations cause divergence of dynamic friction.

Slowed monomer dynamics and diverged energy barriers are observed.

Abstract

The some dynamic properties of a random heteropolymer in the condensed state are studied in the mode coupling approximation. In agreement with recent report a dynamic friction increasing is predicted for the random heteropolymer with power-law correlations in comparison with exponential correlations. In the case of strong power-law correlations the dynamic friction function diverge in the thermodynamic limit. The qualitative explanation is given for the monomer's dynamics slowing down and diverged energetic barrier between the frozen and random coil states. The possible relations with protein's function and evolution are discussed.