SIMULATION OF COMBINED GRINDING AND AGGREGATION PROCESSES WITH MEMORY EFFECTS USING A MARKOV CHAIN
A Markov chain is proposed for modeling the kinetics of combined processes of grinding and aggregation of granular materials. The discrete state space of the system in this model includes two components: the size of the particle and the duration of the time interval elapsed between two successive collisions of this particle with other particles in the system. The resulting model makes it possible to take into account subdiffusion “memory” effects that slow down the aggregation process compared to classical kinetics. The results of calculating the evolution of particle size distribution using this model are presented.