Gas-Liquid Phase Transition in Statistical Mechanics

TL;DR

This paper introduces a novel theoretical framework for gas-liquid phase transitions based on a new space homogeneity assumption and a mean distance expansion, providing fresh explanations and calculations for key physical quantities.

Contribution

It proposes a new theory with a mean distance expansion for phase transition analysis, differing from traditional cluster expansion methods.

Findings

Calculated densities of vapor and liquid in coexistence

Derived vapor pressure and latent heat values

Provided a new physical explanation for phase transition

Abstract

A new theory on gas-liquid phase transition is given. The new idea is that the total intermolecular potential energy for a classical system in equilibrium is relative with the average distance of molecules. A new space homogeneity assumption is postulated, a new formulation -- the mean distance expansion, instead of Mayer's Cluster Expansion, is introduced, a new explanation on liquid-gas phase transition is given, and the physical quantities in a system of coexistent vapor and liquid -- the densities of the coexistent vapor and liquid, the vapor pressure and the latent heat, are calculated.