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Related Experiment Video

Updated: May 13, 2026

Submillisecond Conformational Changes in Proteins Resolved by Photothermal Beam Deflection

Submillisecond Conformational Changes in Proteins Resolved by Photothermal Beam Deflection

Published on: February 18, 2014

Coupling-parameter expansion in thermodynamic perturbation theory.

A Sai Venkata Ramana¹, S V G Menon

¹Theoretical Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 19, 2013

Summary

This study introduces a hybrid approach for liquid state theory, enhancing thermodynamic perturbation theory and integral equation theories. The new method accurately calculates properties for square well fluids, improving predictions in the two-phase region.

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Area of Science:

Statistical Mechanics
Liquid State Theory
Computational Physics

Background:

Integral equation theories face challenges in the two-phase region for simple fluids.
Thermodynamic perturbation theory offers an alternative but requires careful application.

Purpose of the Study:

To develop a robust coupling-parameter expansion approach for liquid state theory.
To overcome limitations of existing integral equation theories in the two-phase region.
To provide a method for calculating thermodynamic and structural properties of fluids.

Main Methods:

A hybrid scheme combining thermodynamic perturbation theory and integral equation theories.
Development of a method to compute perturbation series to arbitrary order.
Application to square well fluids with variable interaction ranges.

Main Results:

The hybrid scheme successfully avoids issues in the two-phase region.
The method accurately computes Helmholtz free energy, radial distribution function, and direct correlation function.
Good convergence and performance were observed for square well fluids, though improvements are noted for shorter-range potentials.

Conclusions:

The developed coupling-parameter expansion offers a reliable approach for liquid state theory.
The method shows promise for accurately predicting fluid properties, particularly in challenging regions.
Further research is suggested for optimizing the theory for short-range potentials.