New universality classes in “Percolative” dynamics |
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Authors: | M Ortuño J Ruiz J M F Gunn |
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Institution: | (1) Departamento de Física, Universidad de Murcia, Murcia, Spain;(2) Rutherford Appleton Laboratory, OX11 0QX Chilton, Didcot, Oxon, UK |
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Abstract: | We study a site analogue of directed percolation. Random trajectories are generated and their critical behavior is studied. The critical behavior corresponds to that of simple percolation in some of the parameter space, but elsewhere the exponents reveal new universality classes. As a byproduct, we use the model to make an improved estimate of the percolation hull exponents and to calculate the site percolation probability for the square lattice. |
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Keywords: | Percolation external perimeter universality critical exponents threshold |
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