Cellular automata multi-component diffusion models

Anna Paszyńska¹, Maciej Paszyński², Maciej Pietrzyk³, Bartłomiej Wierzba⁴

¹Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland.
²Department of Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland.
³Department of Applied Computer Science and Modelling, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland.
⁴Department of Solid State Chemistry, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland.

DOI:

https://doi.org/10.7494/cmms.2009.2.0234

Abstract:

The paper presents a survey of developed multi-component diffusion models. Stochastic and continuous PDE models for multi-component diffusion problems are studied by performing a sequence of numerical simulations. The stochastic models are based on Cellular Automata with interchange and block-rotation model. The multi-component particles are either interchanged or rotated clockwise or counter-clockwise with prescribed probability. The diffusion coefficient is tuned by changing the probabilities of execution of particular rules. The continuous PDE models are based on classical variational formulations solved by the self-adaptive hp Finite Element Method. Numerical results are compared and discussed.

Cite as:

Paszyńska, A., Paszyński, M., Pietrzyk, M., & Wierzba, B. (2009). Cellular automata multi-component diffusion models. Computer Methods in Materials Science, 9(2), 221 – 227. https://doi.org/10.7494/cmms.2009.2.0234

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