Zeno-line, Binodal, T-{rho} Diagram and Clusters as a new Bose-Condensate Bases on New Global Distributions in Number Theory

We present the correspondence principle between the T-{\rho} diagram, the Zeno line and the binodal for a given interaction potential of Lennard-Jones type. We use this correspondence further to construct a distribution of the Bose-Einstein type for a classical gas with the help of the new notion of Bose condensate, making it possible to decrease fractal dimension while simultaneously preserving the number of particles. In so doing, we use new global distributions in number theory.