Title of article :
Cellular automaton model for substitutional binary diffusion in solids
Author/Authors :
Ribera, Helena entre de Recerca Matematica - Campus de Bellaterra - Spain , Wetton, Brian T. R. Mathematics Department - University of British Columbia - Canada , Myers, Timothy entre de Recerca Matematica - Campus de Bellaterra - Spain
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
Keywords :
Kirkendall effect , Diffusion , Hollow nanostructures , Cellular automaton
Journal title :
Journal of Mathematical Modeling(JMM)
