UD-Statistics and Stratification in Different Social Spheres: Hierarchy in Animal Social Groups

摘要

It is shown in the article that, for the Lennard-Jones interaction potential, which incorporates both a repulsive potential and an attractive one, the result obtained in the many-particle problem satisfying the symmetry laws of UD-statistics is that the system splits into two independent fluids that flow freely through each other. This fact is deduced by introducing the parameter of proper time, which allows to pass to the scattering problem on a finite interval with a transformation of the potential that includes an infinite barrier dividing the two fluids.