Non-Arrhenius modes in the relaxation of model proteins

TL;DR

This study explores the complex relaxation behaviors of a protein model across different temperatures, revealing multiple regimes including exponential, power law, and logarithmic decay, with some phenomenological fits lacking direct theoretical derivation.

Contribution

It identifies and characterizes multiple relaxation regimes in a protein model, combining theoretical analysis with numerical simulations, and highlights the challenge in deriving stretched exponential behavior from theory.

Findings

Multiple relaxation regimes identified: exponential, power law, logarithmic.

Simulation results fit stretched exponential in crossover regime.

Theoretical analysis does not directly produce stretched exponential form.

Abstract

We have investigated the relaxational dynamics for a protein model at various temperatures. Theoretical analysis of this model in conjunction with numerical simulations suggests several relaxation regimes, including a single exponential, a power law and a logarithmic time dependence. Even though a stretched exponential form gives a good fit to the simulation results in the crossover regime between a single exponential and a power law decay, we have not been able to directly deduce this form from the theoretical analysis.