The thermal denaturation of Peyrard-Bishop model with an external potential

TL;DR

This paper investigates how different external potentials influence DNA denaturation within the Peyrard-Bishop model, revealing that all potentials accelerate denaturation at lower temperatures, with Gaussian potential mimicking a constant force.

Contribution

It introduces a statistical mechanics approach to analyze external potentials' effects on DNA denaturation using transfer integral and perturbation methods.

Findings

External potentials accelerate DNA denaturation at lower temperatures.

Gaussian potential with infinitesimal width mimics a constant force.

All studied potentials promote denaturation processes.

Abstract

The impact of various types of external potentials to the Peyrard-Bishop DNA denaturation is investigated through statistical mechanics approach. The partition function is obtained using transfer integral method, and further the stretching of hydrogen bond is calculated using time independent perturbation method. It is shown that all types of external potentials accelerate the denaturation processes at lower temperature. In particular, it is argued that the Gaussian potential with infinitesimal width reproduces a constant force at one end of DNA sequence as already done in some previous works.