Stochastic modeling of the kinetics of processing of heterogeneous systems

Mathematical modeling of the kinetics of processing of heterogeneous media is discussed. It is demonstrated that the mathematical formalism of Markovian process theory in combination with methods of multiphase medium mechanics is usable for this purpose, and methods of constructing kinetic models are suggested. Kinetic models have been constructed for material treatment processes such as mixing and grinding, and the solution of the corresponding differential equations are presented. A method is suggested for solving the Kolmogorov-Fokker-Planck equation with the small parameter at the highest order derivative and cuspidal point taken into account. The validity of the constructed kinetic models is demonstrated.