# A lemma about molecular chaos

Source: [A lemma about molecular chaos](<https://www.sota2.com/research/paper/68fa23c22c2a37601939bd2f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:39.592Z

Authors: Yu.E.Kuzovlev

Published: 2009-08-20T20:25:08.000Z

## Abstract

Solutions to the BBGKY hierarchy of equations for molecular Brownian particle in ideal gas are considered, and exact relations are derived between probability distribution of path of the particle, its derivatives in respect to gas density and irreducible many-particle correlations of gas atoms with the path. It is shown that all the correlations always give equally important contributions to evolution of the path distribution, and therefore the exact statistical mechanics theory does not reduce to classical kinetics even in the low-density limit.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0908.3007>)

[PDF](<https://arxiv.org/pdf/0908.3007.pdf>)