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

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