Stochastic Modeling of Solidification

  • Doru Michael Stefanescu


Deterministic models for microstructure evolution have made tremendous progress rewarded by recognition and acceptance by industry. However, their main shortcoming is their inability to provide a graphic description of the microstructure. Another problem is in the very mathematics that is used. Recent advances in electron microscopy make possible the examination of materials with near-atomic resolution. Such nano-scale structures cannot be described adequately through continuum approximations. As stated by Kirkaldy (1995), “Materials scientists who persist in ignoring the microscopic and mesoscopic physics in favor of mathematics of the continuum will ultimately be seen to have rejected an assured path towards a complete theoretical quantification of their discipline.”


Monte Carlo Cellular Automaton Acta Metall Dendrite Coherency Neighbor Lattice Site 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Doru Michael Stefanescu
    • 1
  1. 1.University of AlabamaTuscaloosaUSA

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