Active Width at a Slanted Active Boundary in Directed Percolation

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 \simeq A ε^{-ν_\parallel} \ln(ε_0/ε), with ε=p_c-p, ε_0 a constant, and ν_\parallel=1.734 the critical exponent of the characteristic time needed to reach the stationary state ξ_\parallel \sim ε^{-ν_\parallel}. The logarithmic factor arises from screening of statistically independent needle shaped sub clusters in the active region. Numerical data confirm this scaling behaviour.

5 pages, 5 figures

References in corpus (5)

• Numerical Study of Local and Global Persistence in Directed Percolation
• Directed Percolation with a Wall or Edge
• Surface Critical Behavior in Systems with Absorbing States
• Directed percolation with an absorbing boundary
• Dynamic behavior of driven interfaces in models with two absorbing states

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