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Physical stability and critical effects in models of fractal defects evolution based on single fractal approximation

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  • Aniszewska, Dorota
  • Rybaczuk, Marek

Abstract

The results of physical stability calculations are presented. The simple model based on single fractal approximation is unstable and therefore the new model was constructed. It contains higher order expansion of energy, which describes interaction between defects and express inhomogeneity of energy accumulated on defects. Derivation was based on similarity between defects growth and continuous phase transition. The numerical examination of physical stability proves that new model is stable.

Suggested Citation

  • Aniszewska, Dorota & Rybaczuk, Marek, 2007. "Physical stability and critical effects in models of fractal defects evolution based on single fractal approximation," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 246-251.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:1:p:246-251
    DOI: 10.1016/j.chaos.2005.10.090
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