Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-10-28
Physics
Condensed Matter
Statistical Mechanics
This work was reported on the International conference on statistical physics "SigmaPhi2008", Crete, Greece, 14-19 July 2008
Scientific paper
10.1088/1742-5468/2009/02/P02044
In this article it is shown that in a classical equilibrium canonical ensemble of molecules with $s$-body interaction full Gibbs distribution can be uniquely expressed in terms of a reduced s-particle distribution function. This means that whenever a number of particles $N$ and a volume $V$ are fixed the reduced $s$-particle distribution function contains as much information about the equilibrium system as the whole canonical Gibbs distribution. The latter is represented as an absolutely convergent power series relative to the reduced $s$-particle distribution function. As an example a linear term of this expansion is calculated. It is also shown that reduced distribution functions of order less than $s$ don't possess such property and, to all appearance, contain not all information about the system under consideration.
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