2019/11/17 by Helena Ribera, Brian Wetton, Ribera, Helena +3
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1911.08322
openalex publication_date 2019/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.