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Fractal-type relations and extensions suitable for systems of evolving polycrystalline microstructures

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  • Gadomski, A

Abstract

We report on two possible physically justified situations concerning the evolution of polycrystalline microstructures. The first is an observation that a polycrystalline microstructure formation process, considered as a random walk in the space of the crystallites’ sizes, can be equivalent to the anomalous kinetic problem in a continuum percolation space. The second, in turn, regards some extension of the random walk process while occurring on a fractal substrate and/or when a single grain boundary can presumably be treated as a random walk trajectory, i.e. a situation quite acceptable when dealing with, e.g. quasicrystals. One may find possible applications of the modeling offered in the areas of biophysics and physical metallurgy.

Suggested Citation

  • Gadomski, A, 1999. "Fractal-type relations and extensions suitable for systems of evolving polycrystalline microstructures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 325-332.
    • Handle: RePEc:eee:phsmap:v:274:y:1999:i:1:p:325-332
    DOI: 10.1016/S0378-4371(99)00310-6
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