Nonequilibrium statistical physics and random processes: principle of identity of particles

The conditions are analysed whose realisation allows reducing the description of nonequilibrium states of physical systems to solve the kinetic equation for a single-particle distribution function. An example is presented of applying the principle of identity of particles and Finetti-Khinchin symmetry theorem to derive a kinetic equation. The model of bimolecular reaction Т + Т → 3Т in the form of random Markovian process at discrete phase space {0,1,2, } is taken as a system of interacting particles.