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A formally exact relation is derived which connects thermodynamicallynon-equilibrium evolution of gas density distribution after its arbitrarystrong spatially non-uniform perturbation and evolution of many-particlecorrelations between path of some marked particle and its surroundings inequilibrium gas. This relation directly confirms significance of themany-particle correlations even under the Boltzmann-Grad limit and thusvalidates the earlier suggested revision of kinetics.

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