Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-01-10
Physics
Condensed Matter
Statistical Mechanics
6 pages, 1 figure, latex revtex4-1
Scientific paper
The BBGKY hierarchy of equations for a particle interacting with ideal gas is analyzed in terms of irreducible many-particle correlations between gas atoms and the particle's motion. The transition to the hard-sphere interaction is formulated from viewpoint of the recently discovered exact relations connecting the correlations with the particle's probability distribution. Then the Boltzmann-Grad limit is considered and shown not to lead to the Bolzmann hierarchy and the molecular chaos, since correlations of all orders keep significant.in this limit, merely taking a singular form.
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