Supersymmetry Theory of Disordered Heteropolymers

TL;DR

This paper develops a supersymmetry-based theoretical framework to analyze disordered heteropolymers, revealing phase transitions related to ergodicity breaking and freezing states influenced by temperature and disorder.

Contribution

It introduces a novel supersymmetry field scheme for heteropolymer dynamics, enabling analysis of structure factors, Green functions, and phase diagrams for non-ergodic states.

Findings

Identification of phase diagram with non-ergodic and freezing states

Demonstration of temperature and disorder effects on heteropolymer dynamics

Development of supersymmetry equations for structure factor and Green function

Abstract

The effective motion equation that describes the different monomer alternation along the heteropolymer chain is proposed. On its basis the supersymmetry field scheme that allows to obtain the equations for the structure factor and Green function is built up. The memory and ergodicity breaking effects are investigated depending on the temperature and quenched disorder of the monomer alternation. The phase diagram that determines the existence of the non-ergodic and freezing states is provided.