On quasi-continuous approximation in classical statistical mechanics

Details On quasi-continuous approximation in classical statistical mechanics On quasi-continuous approximation in classical statistical mechanics

2010-07-25

arxiv.org/abs/1007.4325v1

Physics

Mathematical Physics

Scientific paper

A continuous infinite system of point particles with strong superstable interaction is considered in the framework of classical statistical mechanics. The family of approximated correlation functions is determined in such a way, that they take into account only such configurations of particles in $\mathbb{R}^d$ which for a given partition of the configuration space $\mathbb{R}^d$ into nonintersecting hyper cubes with a volume $a^d$ contain no more than one particle in every cube. We prove that these functions converge to the proper correlation functions of the initial system if the parameter of approximation $a\rightarrow 0$ for any positive values of an inverse temperature $\beta$ and a fugacity $z$. This result is proven both for two-body interaction potentials and for many-body case.

Affiliated with

Also associated with

No associations

Rating

On quasi-continuous approximation in classical statistical mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On quasi-continuous approximation in classical statistical mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On quasi-continuous approximation in classical statistical mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-467317