7 papers
Phase Transitions in a Nonequilibrium Percolation Model
Siegfried Clar, Barbara Drossel, Klaus Schenk +1
We investigate the percolation properties of a two-state (occupied - empty) cellular automaton, where at each time step a cluster of occupied sites is removed and the same number o…
Phase Transitions in a Forest-Fire Model
Siegfried Clar, Klaus Schenk, Franz Schwabl
We investigate a forest-fire model with the density of empty sites as control parameter. The model exhibits three phases, separated by one first-order phase transition and one 'mix…
Forest fires and other examples of self-organized criticality
Siegfried Clar, Barbara Drossel, Franz Schwabl
We review the properties of the self-organized critical (SOC) forest-fire model. The paradigm of self-organized criticality refers to the tendency of certain large dissipative syst…
Self-organized critical and synchronized states in a nonequilibrium percolation model
Siegfried Clar, Barbara Drossel, Franz Schwabl
We introduce a nonequilibrium percolation model which shows a self-organized critical (SOC) state and several periodic states. In the SOC state, the correlation length diverges slo…
Universality in the One-Dimensional Self-Organized Critical Forest-Fire Model
Barbara Drossel, Siegfried Clar, Franz Schwabl
We modify the rules of the self-organized critical forest-fire model in one dimension by allowing the fire to jump over holes of sites. An analytic calculation shows that n…
Scaling laws and simulation results for the self--organized critical forest--fire model
S. Clar, B. Drossel, F. Schwabl
We discuss the properties of a self--organized critical forest--fire model which has been introduced recently. We derive scaling laws and define critical exponents. The values of t…