The Equation of State for Solution of Semiflexible Polymer Chains

TL;DR

This paper develops a self-consistent method using the Gaussian equivalent representation to accurately calculate thermodynamic and structural properties of semiflexible polymer solutions, extending beyond mean-field approximations.

Contribution

It introduces a novel self-consistent framework for deriving the equation of state and interaction potentials of semiflexible polymers using GER beyond mean-field.

Findings

Derived a self-consistent equation of state for semiflexible polymers.

Established a method to calculate the potential of mean force.

Demonstrated the importance of persistent length in polymer interactions.

Abstract

We formulate a self-consistent procedure for calculation of thermodynamic and structural properties of polymer solutions based on the Gaussian equivalent representation method (GER) for functional integrals calculation beyond the mean-field approximaton. We show that an equation of state, potential of mean force of interaction monomer-monomer, and persistent length should be defined self-consistently by solving of some system of coupled equation.