Mathematical modeling of the gas producing condensed matter

This paper is devoted to the model of the rare gas consisting of the same particles colliding when vectors of their velocities are orthogonal. The conservation laws for momentum and kinetic energy of colliding particles take place. The particles in rest produce structure which is similar to condensed matter. The kinetic equation is proposed for description of dynamics for such gas. The numerical experiments confirm conformity of the chosen model and direct modeling by the Monte Carlo method of process of the specified collisions. In the paper the scheme of modeling of the phenomenon by the Monte Carlo method is resulted. The test of convergence of numerical experiments was given for exact solution and for difference approximations.