Dimensional crossover in directed percolation

作者: A Chame , S L A de Queiroz , R R dos Santos

DOI: 10.1088/0305-4470/17/12/006

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摘要: The authors study the dimensional crossover in directed percolation three dimensions. Bonds are allowed to have different concentrations along cartesian axes of lattice. Through a position space renormalisation group one obtains phase diagram where nonpercolating. 1D, 2D and 3D percolating phases present. find that, contrary what happens undirected percolation, isotropic fixed points unstable with respect concentration anisotropy. Numerical estimates given for values critical probabilities exponents, which fairly good agreement other results, available.

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