On the completeness of description of an equilibrium canonical ensemble using a reduceds-particle distribution function

M I Kalinin
2009 Journal of Statistical Mechanics: Theory and Experiment  
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
more » ... r 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.
doi:10.1088/1742-5468/2009/02/p02044 fatcat:b6oiyvmjmzhvzd4vr3bvpnyjda