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Abstract : The propagation of a front we use the model of a forest fire in a bidimensional random lattice is studied for several different types of interactions. We obtain the corresponding critical concentrations and critical exponents calculated by means of the finite size scaling conjecture. These exponents are expressed in terms of the fractal dimension of the infinite cluster and of the spreading dimension. We show that the front structure is fractal and we determine its Hausdorff dimension.

Keywords : fractals lattice theory and statistics percolation random processes

Author: G. Albinet G. Searby D. Stauffer



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