Microscopic formulation of the Zimm-Bragg model for the helix-coil transition

TL;DR

This paper introduces a microscopic spin model for the Zimm-Bragg helix-coil transition, providing a clearer physical understanding and computational framework while highlighting differences from the standard Ising model.

Contribution

It presents a microscopic spin formulation of the Zimm-Bragg model, clarifying its physical basis and thermophysical properties, and discusses differences from the standard Ising model.

Findings

The spin model reproduces the thermophysical properties of the Zimm-Bragg model.

The model is exactly mapped to a one-dimensional Ising model with an external field.

Differences in temperature dependence of the external field affect thermophysical behavior.

Abstract

A microscopic spin model is proposed for the phenomenological Zimm-Bragg model for the helix-coil transition in biopolymers. This model is shown to provide the same thermophysical properties of the original Zimm-Bragg model and it allows a very convenient framework to compute statistical quantities. Physical origins of this spin model are made transparent by an exact mapping into a one-dimensional Ising model with an external field. However, the dependence on temperature of the reduced external field turns out to differ from the standard one-dimensional Ising model and hence it gives rise to different thermophysical properties, despite the exact mapping connecting them. We discuss how this point has been frequently overlooked in the recent literature.