Ornstein Zernike

The Ornstein-Zernike (OZ) equation is a fundamental tool in liquid state theory, used to calculate pair correlation functions crucial for understanding fluid behavior. Current research focuses on efficiently solving the OZ equation, employing techniques like physics-informed neural networks and evolutionary algorithms to optimize closure relations and improve accuracy, particularly for complex fluids. These advancements are improving the prediction of thermodynamic properties and enabling faster, more accurate simulations, with applications ranging from materials science to optical imaging where Zernike polynomials, related to the OZ equation's solutions, are used to characterize and correct optical aberrations.