Cellular automaton model for substitutional binary diffusion in solids

Author(s):

Helena Ribera , Brian T. R. Wetton * , Timothy Myers

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
We use the cellular automaton (CA) approach to model  binary diffusion in solids. We define an asynchronous CA model and formally take its continuum limit and show it approaches a  differential equation model derived in previous work (Ribera, Wetton, and Myers, 2019, arXiv:1911.07359 [cond-mat.stat-mech]) that exhibits the Kirkendall effect. The framework allows the exploration of other state change rules based on additional physical mechanisms.
Keywords:

Kirkendall effect , Diffusion , Hollow nanostructures , Cellular automaton

Language:
English
Published:
Journal of Mathematical Modeling, Volume:8 Issue: 1, Winter 2020
Pages:
91 to 104
https://www.magiran.com/p2109967