Mean-field self-organized criticality
- 1 May 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (9) , L475-L480
- https://doi.org/10.1088/0305-4470/24/9/005
Abstract
The authors consider a variant of directed percolation in which the set of nodes is itself dependent on the progress of the percolation process. For the mean-field model studied, the system is driven to its critical point from a broad range of initial conditions. An advantage of the model is its explicit and easy solvability.Keywords
This publication has 10 references indexed in Scilit:
- Abelian sandpile model on the Bethe latticeJournal of Physics A: General Physics, 1990
- Self-organized criticality: Goldstone modes and their interactionsPhysical Review Letters, 1990
- Scaling and universality in statistical physicsPhysica A: Statistical Mechanics and its Applications, 1990
- Percolation model of galactic structureAdvances in Physics, 1990
- Exactly solved model of self-organized critical phenomenaPhysical Review Letters, 1989
- Critical Exponents and Scaling Relations for Self-Organized Critical PhenomenaPhysical Review Letters, 1988
- Mean field theory of self-organized critical phenomenaJournal of Statistical Physics, 1988
- Models of synchronized hippocampal bursts in the presence of inhibition. II. Ongoing spontaneous population eventsJournal of Neurophysiology, 1987
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987
- Percolation and GalaxiesScience, 1986