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Cellular automaton model for substitutional binary diffusion in solids | ||
| Journal of Mathematical Modeling | ||
| مقاله 12، دوره 8، شماره 1، خرداد 2020، صفحه 91-104 اصل مقاله (352.84 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.13012.1255 | ||
| نویسندگان | ||
| Helena Ribera1؛ Brian T. R. Wetton* 2؛ Timothy Myers1 | ||
| 1Centre de Recerca Matematica, Campus de Bellaterra, Spain | ||
| 2Mathematics Department, University of British Columbia, Canada | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Kirkendall effect؛ Diffusion؛ Hollow nanostructures؛ Cellular automaton | ||
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