Interpolating the radial distribution function in a two-dimensional fluid across a wide temperature range

Area of Science:

• Statistical Mechanics
• Soft Matter Physics
• Computational Fluid Dynamics

Background:

• Calculating pair correlation functions in fluids is computationally expensive, requiring simulations or integral equations.
• Existing simplified methods for pair correlation lack the necessary accuracy for many applications.

Purpose of the Study:

• To develop a simple and accurate method for calculating pair correlation functions in monolayer fluid-like systems.
• To provide an alternative to resource-intensive simulations and less accurate approximations.

Main Methods:

• Decomposition of the pair correlation function into correlation peaks based on Voronoi cells.
• Normalization of these peaks to reveal universal characteristics.

Main Results:

• The normalized correlation peaks exhibit a universal form and weak temperature dependence.
• These peaks closely resemble those of an ideal gas, with deviations primarily in the first peak.
• The proposed method offers a significant improvement in accuracy and simplicity.

Conclusions:

• The Voronoi cell-based decomposition provides a novel and effective way to model fluid pair correlations.
• This approach is suitable for a wide range of systems, including molecular, colloidal, and cellular fluids.
• The method simplifies the interpolation of pair correlation functions, enhancing computational efficiency.