Analysis of changes in fractal, statistical and kinetic parameters during the heteroannihilation of particles on the simulated structurally inhomogeneous surfaces

Abstract

To investigate the mechanisms of interaction of particles on structurally inhomogeneous surfaces, the influence of surface morphology, distribution of interacting particles and their mobility on the mechanisms of ongoing processes, various modeling approaches are widely used. The paper presents the results of comparison of kinetic, statistical and fractal parameters changing in the process of heteroannihilation of particles distributed chaotically and multifractally on a simulated structurally inhomogeneous surface. To simulate the complex behavior of particles in time and space during heteroannihilation with changes in their mobility across the surface and various interaction probabilities, a class IV probabilistic cellular automaton method was applied. Based on the simulation results, it is shown that the interaction probability, initial distribution, and mobility of interacting particles influence the formation of kinetic modes at different iterations of the heteroannihilation process. It was found that a decrease in the mobility of interacting particles leads to a longer preservation of spatial heterogeneity in the system. An increase in the mobility of interacting particles and the probability of their interaction increases the rate of change in the fractal dimensionality and the rate coefficients of heteroannihilation kinetics. Decrease of fractal dimensionality during heteroannihilation is accompanied by decrease of asymmetry and increase of excess characterizing shape and degree of symmetry of distribution of interacting particles. At the same time, large values of asymmetry and excess indicate a significant deviation from the normal distribution of interacting particles on the surface.