Diffusion on a circular area using cellular automata
Abstract
Cellular automata were used to model diffusion in a circular network. Results from simulation are compared to the Weibull Model of diffusion. The correlation coefficient between the two has a value of 0.87. A characteristic description of diffusion which is the release profile is also discussed. The simulated release profile is shown to be similar with expected results. Variation of diffusion with respect to initial concentration and mobility of particles were also observed with respect to Nf, the number of iteration where concentration becomes 0. It was seen that as the initial % concentration of the circle Ci increases, Nf also increases. But at higher Ci, Nf decreases. As for the mobility rate Nm, as Nm increases for faster particles, Nf decreases.
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