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

Source: [From shock waves to Brownian motion and 1/f-noise in gas](<https://www.sota2.com/research/paper/68fa20dd7a2b558e29333cdc>)

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

Data updated: 2025-10-28T13:52:10.081Z

Authors: Yuriy E. Kuzovlev

Published: 2007-05-31T11:52:08.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0705.4580>)

[PDF](<https://arxiv.org/pdf/0705.4580.pdf>)