Self-organized states in cellular automata: Exact solution

Self-organized Criticality and Cellular Automata

Cellular Automata and Self Organized Criticality

Cellular automata provide a fascinating class of dynamical systems capable of diverse complex behavior. These include simpliied models for many phenomenaseen in nature. Among other things, they provide insight into self-organized critical-ity, wherein dissipative systems naturally drive themselves to a critical state with important phenomena occurring over a wide range of length and time scales...

Self-Organized Criticality in Asynchronously Tuned Elementary Cellular Automata

Self-organized criticality (SOC) reveals a mechanism by which a system is autonomously evolved to be in a critical state without needing parameter tuning. Whereas various biological systems are found to be in critical states and the significance of SOC is being re-estimated, a simple model in a general platform has not been established. Here, we present SOC in asynchronously tuned elementary ce...

Self-organized criticality in solar flares: a cellular automata approach

We give an overview of a novel lattice-based avalanche model that reproduces well a number of observed statistical properties of solar flares. The anisotropic lattice is defined as a network of vertically-connected nodes subjected to horizontal random displacements mimicking the kinks introduced by random motions of the photospheric footpoints of magnetic fieldlines forming a coronal loop. We f...

Exact Solution for the Self-Organized Critical Rainfall Model

This work presents an analytical investigation for a Self-Organized Criticality abelian model that describes basic properties of rainfall phenomena. The knowledge of the exact solution for the probability that a site topples when mass is added to any other site of the lattice leads to a large number properties of the model, including the exponent of the power law that describes presence of the ...