From shock waves to Brownian motion and 1/f-noise in gas

TL;DR

This paper derives an exact relation linking non-equilibrium gas density evolution to many-particle correlations, confirming their importance even in dilute gases and supporting revised kinetic theories.

Contribution

It introduces a formally exact relation connecting non-equilibrium dynamics with many-particle correlations, validating the significance of correlations in dilute gases.

Findings

Confirms the importance of many-particle correlations in gas dynamics.

Validates the earlier revision of kinetic theory.

Links non-equilibrium evolution to equilibrium correlations.

Abstract

A formally exact relation is derived which connects thermodynamically non-equilibrium evolution of gas density distribution after its arbitrary strong spatially non-uniform perturbation and evolution of many-particle correlations between path of some marked particle and its surroundings in equilibrium gas. This relation directly confirms significance of the many-particle correlations even under the Boltzmann-Grad limit and thus validates the earlier suggested revision of kinetics.