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

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Listed:
  • Yifan Zhao
  • Daniel Coca
  • Stephen A. Billings
  • Yuzhu Guo
  • Rile I. Ristic
  • Lucy L. De Matos
  • Andrew Dougherty

Abstract

This article introduces a new method based on a radius-vector function for identifying the spatio-temporal transition rule of star-shaped crystal growth directly from experimental crystal growth imaging data. From the morphology point of view, the growth is decomposed as initial conditions, uniform growth and directional growth, which is represented by a static polynomial model based on the Fourier expansion. A recursive model is also introduced to help understand the dynamic characteristics of the observed systems. The applicability of the proposed approach is demonstrated using data from a simulation and from a real crystal growth experiment.

Suggested Citation

  • Yifan Zhao & Daniel Coca & Stephen A. Billings & Yuzhu Guo & Rile I. Ristic & Lucy L. De Matos & Andrew Dougherty, 2011. "Identification of radius-vector functions of interface evolution for star-shaped crystal growth," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 18(3), pages 261-272, December.
    • Handle: RePEc:taf:nmcmxx:v:18:y:2011:i:3:p:261-272
    DOI: 10.1080/13873954.2011.651475
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    1. Antonio Sciarretta, 2006. "A lattice gas model with temperature and buoyancy effects to predict the concentration of pollutant gas released by power plants and traffic sources," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 12(4), pages 313-327, August.
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