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Fixed scale transformation for fracture growth processes governed by vectorial fields

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  • Caldarelli, G.
  • Vespignani, A.
  • Pietronero, L.

Abstract

We use the Fixed Scale Transformation (FST) approach to study the problem of fractal growth in fracture patterns generated by using the Born Model. The application of the method to this model is very complex because of the vectorial nature of the system considered. In particular, the implementation of this scheme requires a careful choice of the fracture path and the identification of the appropriate way to take into account screening effects. The good agreements of our results with computer simulations shows the validity and flexibility of the FST method which represents a general theoretical approach for the study of fractal patterns evolution.

Suggested Citation

  • Caldarelli, G. & Vespignani, A. & Pietronero, L., 1995. "Fixed scale transformation for fracture growth processes governed by vectorial fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(3), pages 223-232.
    • Handle: RePEc:eee:phsmap:v:215:y:1995:i:3:p:223-232
    DOI: 10.1016/0378-4371(95)00038-9
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    Cited by:

    1. Katori, Makoto & Kobayashi, Hirotsugu, 1996. "Mean-field theory of avalanches in self-organized critical states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(3), pages 461-477.
    2. Papoyan, Vl.V. & Povolotsky, A.M., 1997. "Renormalization group study of sandpile on the triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 241-252.
    3. Sylos Labini, F. & Montuori, M. & Pietronero, L., 1996. "Statistical analysis of the Perseus-Pisces redshift survey: spatial and luminosity properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 336-358.
    4. Albano, Ezequiel V. & Hoyuelos, Miguel & Martin, Héctor O., 1997. "One-dimensional generalized branching annihilating random walker process with stochastic generation of offsprings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 239(4), pages 531-541.

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