Quasi-Particle Picture for Monatomic Gases

TL;DR

This paper develops a quasi-particle theory for monatomic gases in equilibrium, accurately capturing virial contributions to thermodynamics and incorporating van der Waals effects, advancing kinetic theory understanding.

Contribution

It introduces a novel quasi-particle framework that accounts for van der Waals blocking and differs from the Wigner function, improving the theoretical description of monatomic gases.

Findings

Exact virial contributions derived in lowest order of density

Quasi-particle distribution differs from Wigner function by a bilinear functional

Progress suggests improved kinetic theory models

Abstract

A quasi-particle theory for monatomic gases in equilibrium is formulated and evaluated to yield the exact virial contributions to the thermodynamic state functions in lowest order of the density. Van der Waals blocking has necessarily to be accounted for in occupation number statistics. The quasi-particle distribution function differs from the Wigner function by a bilinear functional thereof. The progress made so far is promising with respect to a corresponding version of kinetic theory.