模拟结构不均匀表面上粒子杂灭过程中分形、统计和动力学参数的变化分析

S.G. S.G. Karstina
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引用次数: 0

摘要

为了研究颗粒在结构不均匀表面上的相互作用机制、表面形貌、相互作用颗粒的分布及其迁移率对正在进行的过程机制的影响,各种建模方法被广泛使用。本文比较了在模拟的结构不均匀表面上混沌分布和多重分形分布的粒子的异湮灭过程中动力学、统计和分形参数的变化。为了模拟粒子在异湮灭过程中随其表面迁移率和不同相互作用概率变化的复杂时空行为,采用了一类概率元胞自动机方法。仿真结果表明,在不同的异湮灭过程中,相互作用粒子的初始分布、相互作用概率和迁移率影响着动力学模式的形成。研究发现,相互作用粒子迁移率的降低导致系统中空间异质性的保存时间更长。相互作用粒子的迁移率和相互作用概率的增加增加了分形维数的变化率和异湮灭动力学的速率系数。杂湮灭过程中分形维数的减小伴随着不对称性的减小和过剩量的增加,表征了相互作用粒子分布的形状和对称程度。同时,不对称和过剩的大值表明表面上相互作用粒子的正态分布有明显的偏差。
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ANALYSIS OF CHANGES IN FRACTAL, STATISTICAL AND KINETIC PARAMETERS DURING THE HETEROANNIHILATION OF PARTICLES ON THE SIMULATED STRUCTURALLY INHOMOGENEOUS SURFACES
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.
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