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Cellular automaton model for substitutional binary diffusion in solids.
TL;DR: An asynchronous CA model is defined and formally take its continuum limit and show it approaches a differential equation model derived in previous work that exhibits the Kirkendall effect.
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Abstract: In this paper we use the cellular automaton (CA) approach to model one-dimensional binary diffusion in solids. Employing a very simple state change rule we define an asynchronous CA model and take its continuum limit to obtain the governing equations of the problem. We show that in the limit where the number of cells tends to infinity the CA model approaches a continuous model derived in previous work. Thus, showing that the CA approach provides a new, simple method to study and model binary diffusion.
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Computational Materials Engineering – An Introduction to Microstructure Evolution
K.G.F. Janssens,Dierk Raabe,Ernst Kozeschnik,Mark Miodownik,Britta Nestler +4 more
- 01 Jan 2007
TL;DR: Computational Materials Engineering as mentioned in this paper is an advanced introduction to the computer-aided modeling of essential material properties and behavior, including the physical, thermal and chemical parameters, as well as the mathematical tools used to perform simulations.
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