306 citations · 694 across the 12 of their papers we have counts for
8 papers · 1 filter
Directed Percolation and Systems with Absorbing States: Impact of Boundaries
P. Frojdh, M. Howard, K. B. Lauritsen
We review the critical behavior of nonequilibrium systems, such as directed percolation (DP) and branching-annihilating random walks (BARW), which possess phase transitions into ab…
Quenched noise and over-active sites in sandpile dynamics
Mikko J. Alava, Kent Bækgaard Lauritsen
The dynamics of sandpile models are mapped to discrete interface equations. We study in detail the Bak-Tang-Wiesenfeld model, a stochastic model with random thresholds, and the Man…
Self-organized criticality and interface depinning transitions
K. B. Lauritsen, M. J. Alava
We discuss the relation between self-organized criticality and depinning transitions by mapping sandpile models to equations that describe driven interfaces in random media. This e…
Directed Percolation with a Wall or Edge
Per Frojdh, Martin Howard, Kent B. Lauritsen
We examine the effects of introducing a wall or edge into a directed percolation process. Scaling ansatzes are presented for the density and survival probability of a cluster in th…
Directed percolation with an absorbing boundary
K. B. Lauritsen, K. Sneppen, M. Markosova +1
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 expon…
Universality classes for rice-pile models
L. A. N. Amaral, K. B. Lauritsen
We investigate sandpile models where the updating of unstable columns is done according to a stochastic rule. We examine the effect of introducing nonlocal relaxation mechanisms. W…
Energy avalanches in a rice-pile model
Luis A. Nunes Amaral, Kent B. Lauritsen
We investigate a one-dimensional rice-pile model. We show that the distribution of dissipated potential energy decays as a power law with an exponent . The system thus prov…
Self-organized criticality in a rice-pile model
Luis A. Nunes Amaral, Kent B. Lauritsen
We present a new model for relaxations in piles of granular material. The relaxations are determined by a stochastic rule which models the effect of friction between the grains. We…