Geodesic
Thermodynamics and Hydrodynamics (Statistical Foundations): 1. The Problem Setup
Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 1, pp. 121-131

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Analyzing the physical foundations of statistical mechanics, we show that it can only be local. This means that the structure of matter and all its macroscopic parameters (except the density $\rho$, the velocity $\theta$) of the liquid, and the temperature $\theta$) must be determined by what occurs inside a correlation sphere of the radius $R\approx 10^{-7}\,$cm the values of $\rho $, $\vec v$ and $\theta$, which play the role of fixed parameters for the BBGKY hierarchy, must be found by solving hydrodynamic equations with macroscopic boundary and initial conditions taken into account.
Keywords: BBGKY hierarchy, thermodynamic limit, correlation sphere, local approach. 
G. A. Martynov. Thermodynamics and Hydrodynamics (Statistical Foundations): 1. The Problem Setup. Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 1, pp. 121-131. http://geodesic.mathdoc.fr/item/TMF_2002_133_1_a7/
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