Phys. Rev. E 60, 2496–2500 (1999)Active width at a slanted active boundary in directed percolationReceived 8 April 1999; published in the issue dated September 1999 The width W of the active region around an active moving wall in a directed percolation process diverges at the percolation threshold pc as W≃Aε-ν‖ln(ε0/ε), with ε=pc-p, ε0 a constant, and ν‖=1.734 the critical exponent of the characteristic time needed to reach the stationary state ξ‖∼ε-ν‖. The logarithmic factor arises from screening the statistically independent needle shaped subclusters in the active region. Numerical data confirm this scaling behavior. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.60.2496
DOI:
10.1103/PhysRevE.60.2496
PACS:
64.60.Ht, 05.70.Ln, 68.35.Rh
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