Directed percolation with an absorbing boundary

Abstract

We consider directed percolation with an absorbing boundary in 1+1 and 2+1 dimensions. The distribution of cluster lifetimes and sizes depend on the boundary. The new scaling exponents can be related to the exponents characterizing standard directed percolation in 1+1 dimension. In addition, we investigate the backbone cluster and red bonds, and calculate the distribution of living sites along the absorbing boundary.

arXiv comment10 latex pages, including 4 figures

References in corpus (3)

• Avalanche Dynamics in Evolution, Growth, and Depinning Models
• Directed percolation near a wall
• Onset of criticality and transport in a driven diffusive system

Cited by in corpus (12)

• Universality classes in nonequilibrium lattice systems
• Avalanche and spreading exponents in systems with absorbing states
• Novel non-equilibrium critical behavior in unidirectionally coupled stochastic processes
• Directed Percolation and Systems with Absorbing States: Impact of Boundaries
• Universality in the pair contact process with diffusion
• Global Persistence in Directed Percolation
• Equation of state for directed percolation
• How to discriminate easily between Directed-percolation and Manna scaling
• Sliding blocks with random friction and absorbing random walks
• Low-density series expansions for directed percolation II: The square lattice with a wall
• Surface Critical Behavior in Systems with Non-Equilibrium Phase Transitions
• Active Width at a Slanted Active Boundary in Directed Percolation