Self-organized criticality in vector avalanche automata
- 1 February 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 41 (4) , 1867-1873
- https://doi.org/10.1103/physreva.41.1867
Abstract
A new class of cellular automata is observed to evolve to a self-organized critical state. These ‘‘vector automata’’ obey a threshold relaxation condition that depends on the gradient of a scalar field, which is locally conserved except at the system boundaries. Both square and triangular lattices are studied and lead to virtually identical statistics; however, a particular (and natural) choice of boundary shape for the square lattice leads to trivial dynamics characteristic of a minimally stable configuration.Keywords
This publication has 15 references indexed in Scilit:
- Self-Organized Criticality and EarthquakesEurophysics Letters, 1989
- Scaling and universality in avalanchesPhysical Review A, 1989
- Properties of earthquakes generated by fault dynamicsPhysical Review Letters, 1989
- A physicist's sandboxJournal of Statistical Physics, 1989
- Mean-field exponents for self-organized critical phenomenaPhysical Review A, 1988
- Dynamical phase transition in threshold elementsPhysics Letters A, 1988
- Self-organized criticalityPhysical Review A, 1988
- 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
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987