Mean-field Model beyond Boltzmann-Enskog Picture for Dense Gases

TL;DR

This paper introduces an extended mean-field model for dense gases that generalizes the Boltzmann BGK equation, allowing independent control of the Prandtl number and reproducing dense system dynamics.

Contribution

It presents a novel extension to the Boltzmann BGK equation with an H-theorem and adjustable Prandtl number, applicable to dense hard-sphere systems.

Findings

Model has an H-theorem

Allows independent Prandtl number selection

Reproduces dense hard-sphere dynamics

Abstract

I propose an extension to Boltzmann BGK equation for Hard Spheres. The present model has an $H$-theorem and it allows choice of Prandtl number as an independent parameter. I show that similar to Enskog equation this equation can reproduce dynamics of hard spheres in dense systems.