Enskog and Enskog-Vlasov equations with a slightly modified correlation factor and their H theorem

TL;DR

This paper introduces a simplified modification to the Enskog and Enskog-Vlasov equations that maintains the H-theorem and can be adapted to various non-ideal gas equations of state, avoiding complex many-body considerations.

Contribution

A new, simpler modification of the Enskog equations is proposed, which preserves the H-theorem and is adaptable to different non-ideal gas models.

Findings

The modified equations satisfy the H-theorem.

The modification is simpler than previous approaches.

The approach is applicable to various equations of state.

Abstract

A novel modification of the original Enskog equation is proposed. The modification is much simpler than that is made in the modified (or revised) Enskog equation proposed by van Beijeren \& Ernst in 1973 and does not require a consideration of many-body configuration. The proposed modification is general enough to be adapted to various equations of states for non-ideal gases. It is shown that the H-theorem can be established for the Enskog and the Enskog--Vlasov equation with the proposed modification.