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Related Experiment Video

Updated: May 10, 2026

Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique

Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique

Published on: June 12, 2015

Chemical-potential route for multicomponent fluids.

Andrés Santos¹, René D Rohrmann

¹Departamento de Física, Universidad de Extremadura, Badajoz, E-06071, Spain. andres@unex.es

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

|June 18, 2013

Summary

This study derives chemical potentials for multicomponent fluids using pair correlation functions. An improved equation of state for hard-sphere mixtures shows enhanced accuracy compared to existing models.

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Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique

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Area of Science:

Statistical Mechanics
Thermodynamics
Physical Chemistry

Background:

Accurate calculation of chemical potentials is crucial for understanding multicomponent fluid behavior.
Existing equations of state for hard-sphere mixtures have limitations in predictive accuracy.

Purpose of the Study:

To derive a general method for calculating chemical potentials in multicomponent fluids.
To develop and validate an improved equation of state for hard-sphere mixtures.

Main Methods:

Derivation of chemical potentials using pair correlation functions for arbitrary systems.
Application of Percus-Yevick theory to three-dimensional additive hard-sphere mixtures.
Development of an interpolated equation of state combining chemical potential and compressibility routes.

Main Results:

A formally exact result for chemical potentials is obtained in terms of pair correlation functions.
The Percus-Yevick chemical-route equation of state for hard-sphere mixtures demonstrates higher accuracy than the virial equation.
An interpolated equation of state outperforms the Boublík-Mansoori-Carnahan-Starling-Leland equation of state.

Conclusions:

The derived method provides a robust framework for calculating chemical potentials in complex fluid systems.
The novel equation of state offers improved predictions for hard-sphere mixtures, advancing thermodynamic modeling.