Title

THREE-DIMENSIONAL CELLULAR AUTOMATA MODEL FOR CRYSTAL GROWTH FROM SOLUTION

THREE-DIMENSIONAL CELLULAR AUTOMATA MODEL FOR CRYSTAL GROWTH FROM SOLUTION

Authorship

MOURACHOV, SERGUEI

MOURACHOV, SERGUEI

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DOI

10.5151/2594-5327-C00076-1180-1194

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Abstract

A model for crystal growth from solution based on probabilistic three-dimensional cellular automata is proposed. The model describes diffusion of crystal substance in solution, surface diffusion and kinetic phenomena on a crystal-solution interface at mesoscopic level. The model also takes into account the effect of temperature, local fluctuations and anisotropy of the surface phenomena, which results in the formation of a crystal with flat faces. Through modeling procedure, depending on a surface kinetic parameter the several forms of crystal growth were obtained: flat-faced crystals, skeletal crystals and dendrites. These crystal growth forms are known to occur during real processes of crystallization. The algorithms of cellular automata used in the model are based on operations with integers. They are well adapted to the architecture of modern processors and combine, themselves realization simplicity and effective utilization of computing resources. These characteristics permit to apply the described model to the simulation of complex technological processes.

A model for crystal growth from solution based on probabilistic three-dimensional cellular automata is proposed. The model describes diffusion of crystal substance in solution, surface diffusion and kinetic phenomena on a crystal-solution interface at mesoscopic level. The model also takes into account the effect of temperature, local fluctuations and anisotropy of the surface phenomena, which results in the formation of a crystal with flat faces. Through modeling procedure, depending on a surface kinetic parameter the several forms of crystal growth were obtained: flat-faced crystals, skeletal crystals and dendrites. These crystal growth forms are known to occur during real processes of crystallization. The algorithms of cellular automata used in the model are based on operations with integers. They are well adapted to the architecture of modern processors and combine, themselves realization simplicity and effective utilization of computing resources. These characteristics permit to apply the described model to the simulation of complex technological processes.

Keywords

simulation, cellular automata, crystal growth

simulation, cellular automata, crystal growth