Active width at a slanted active boundary in directed percolation |
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Authors: | Chen C C Park H den Nijs M |
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Affiliation: | Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA. |
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Abstract: | The width W of the active region around an active moving wall in a directed percolation process diverges at the percolation threshold p(c) as W approximately Aepsilon(-nu( parallel)) ln(epsilon(0)/epsilon), with epsilon=p(c)-p, epsilon(0) a constant, and nu( parallel)=1.734 the critical exponent of the characteristic time needed to reach the stationary state xi( parallel) approximately epsilon(-nu(parallel)). The logarithmic factor arises from screening the statistically independent needle shaped subclusters in the active region. Numerical data confirm this scaling behavior. |
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