Caldarelli, Guido and Vespignani, Alessandro
Fixed scale transformation approach for born model of fractures.
Fractals, 3 (4).
pp. 829-837.
ISSN 0218-348X
(1995)
Abstract
We use the Fixed Scale Transformation theoretical approach to study the problem of fractal growth in fractures generated by using the Born Model. In this case the application of the method is more complex because of the vectorial nature of the model considered. In particular, one needs a careful choice of the lattice path integral for the fracture evolution and the identification of the appropriate way to take effectively into account screening effects. The good agreement of our results with computer simulations shows the validity and flexibility of the FST method in the study of fractal patterns evolution.
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