Fluid-phase diagrams of binary mixtures from constant pressure integral equations

Area of Science:

• Physical Chemistry
• Thermodynamics
• Computational Physics

Background:

• Integral equation theories are crucial for understanding liquid properties.
• Investigating fluid-phase diagrams is essential for materials science and chemical engineering.
• Accurate calculation of chemical potentials is key to predicting phase behavior.

Purpose of the Study:

• Introduce a novel algorithm for solving integral equations in liquid theory at fixed pressure.
• Develop an efficient method to investigate fluid-phase diagrams of binary mixtures.
• Assess the accuracy and flexibility of the proposed technique.

Main Methods:

• Developed a new algorithm for integral equations of liquid theory.
• Integrated the algorithm with Lee's star function approximation for chemical potentials.
• Applied the combined method to study symmetric and asymmetric phase diagrams in nonadditive hard spheres and Lennard-Jones mixtures.

Main Results:

• The combined method provides an efficient approach to investigate fluid-phase diagrams.
• The technique successfully studied phase diagrams for both nonadditive hard spheres and Lennard-Jones mixtures.
• Accuracy of the fluid-phase diagrams is highly dependent on the closure quality and chemical potentials.

Conclusions:

• The integral equation theories, despite being approximate, offer a flexible tool for determining fluid-phase diagrams.
• The developed algorithm enhances the efficiency of phase diagram investigations.
• Future work should focus on improving closure relations and chemical potential calculations for greater accuracy.