A stochastic modelling approach for the characterisation of collision exchange processes

A collision-exchange process is a common physical process where system members interact with each other to exchange materials and these individual interactions cumulatively drive a macroscopic system evolution in time. In this paper, a compartment-based stochastic model is formulated to study the collision-exchange process between members in a system. The discrete Markov analysis on the stochastic model presents the analytical results that show the independence of the system equilibrium on its initial distribution, and the derived differential equations reveal the deterministic time evolution of material amount on system members. As a specific example of a physical system that can be described via this model, a seed coating process is presented where the inter-particle coating variability is expressed by the stochastic model parameters. The promising agreement between simulation predictions and experimental results demonstrates the feasibility of stochastic modelling on the collision-exchange process and facilitates further model identification and applications to industrial processes. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

The paper introduces a compartment-based stochastic model to study the collision-exchange process between system members, showing that the system equilibrium is independent of its initial distribution. The derived differential equations reveal the deterministic time evolution of material amount on system members. The example of seed coating process demonstrates the feasibility of the stochastic modelling approach and its agreement with experimental results.