IDENTIFICATION OF THE TRANSITION RULE IN A MODIFIED CELLULAR AUTOMATA MODEL: THE CASE OF DENDRITIC NH₄Br CRYSTAL GROWTH

Abstract

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Data Gap Filling Using Cloud-Based Distributed Markov Chain Cellular Automata Framework for Land Use and Land Cover Change Analysis: Inner Mongolia as a Case Study

“…A cellular automata (CA) model is a spatial and dynamic model for simulating and representing complex spatial and dynamic processes in many research fields [24][25][26][27]. In geospatial science, the CA model has been extensively used to simulate dynamics of land use change and other natural geo-processes [28][29][30].…”

Identification of geometrical models of interface evolution for dendritic crystal growth

“…This approach was employed to estimate a geometric evolution model based on 2D dendrite growth patterns of NH 4 Br crystals obtained experimentally, as detailed in section 3.1. The curvature and normal velocity along the boundary were computed using the algorithms described earlier.…”

“…Local models of dendritic crystal growth include cellular automata-type models [1][2][3][4] , diffusion-limited aggregation (DLA) models 5 and geometric models [6][7][8][9][10] , which describe interfacial growth velocity in terms of the geometric properties of the phase boundary, typically curvature. Of the models that take into account longrange diffusional effects, phase field models 11,12 are perhaps the most popular and widely used.…”

“…Section 2 introduces the geometrical model of interface evolution. Section 3 presents the image processing techniques used to extract basic quantities required for model development, the methodology for estimating the model based on the resulting data set and the application of the proposed modelling approach to synthetic data as well as experimental imaging data of NH 4 Br growth. Finally, Section 4 summarizes the results.…”

Identification of radius-vector functions of interface evolution for star-shaped crystal growth

“…Moreover, the Sharp Interface Model [Maalmi et al, 1995;M and M, 2007], the Boolean Model for Snowflake Growth [S.A. Wolfram, 2002] and the Cellular Automata Model [Zhao et al, 2009] have also been developed to model growth processes. A parabolic model with fourth-order correction was introduced to fit to the profile of the tips of NH4Cl dendrites [Dougherty and Lahir, 2005;A and T, 2007].…”