Cellular automaton model for substitutional binary diffusion in solids
Publish place: Journal of Mathematical Modeling، Vol: 8، Issue: 1
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-8-1_006
تاریخ نمایه سازی: 19 خرداد 1403
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, ۲۰۱۹, arXiv:۱۹۱۱.۰۷۳۵۹ [cond-mat.stat-mech]) that exhibits the Kirkendall effect. The framework allows the exploration of other state change rules based on additional physical mechanisms.
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Authors
Helena Ribera
Centre de Recerca Matematica, Campus de Bellaterra, Spain
Brian T. R. Wetton
Mathematics Department, University of British Columbia, Canada
Timothy Myers
Centre de Recerca Matematica, Campus de Bellaterra, Spain
