Sandpile Models of Self-Organized Criticality
نویسنده
چکیده
Self-Organized Criticality is the emergence of long-ranged spatio-temporal correlations in nonequilibrium steady states of slowly driven systems without fine tuning of any control parameter. Sandpiles were proposed as prototypical examples of self-organized criticality. However, only some of the laboratory experiments looking for the evidence of criticality in sandpiles have reported a positive outcome. On the other hand a large number of theoretical models have been constructed that do show the existence of such a critical state. We discuss here some of the theoretical models as well as some experiments.
منابع مشابه
Self-organized criticality in sandpile models
The sandpile model, introduced in 1987, was the first model to exhibit self-organized critical behavior, that is, the system moved towards its critical point without the need to tune any adjustable external parameter. In this paper, we look at the why these models exhibit such non-intuitive behavior. We also look at some of the phenomenology near the critical point, such as scaling laws and cri...
متن کاملCellular Automata Models: a Sandpile Model Applied in Fusion
The purpose of this contribution is to introduce the key elements of a sandpile model, based on the Self Organized Criticality (SOC), that could provide the computational investigation of the dynamics for the case of magnetically confined plasmas. In this section, it is important to give several useful definitions, such as what is a spatially extended dynamical system, how we can study it, what...
متن کاملSelf-Organized Criticality on Non-periodic Graphs
Self-organized critical models are used to describe the 1/f-spectra of rather different physical situations like snow avalanches, noise of electric currents, luminosities of stars or topologies of landscapes. The prototype of the SOC-models is the sandpile model of Bak, Tang and Wiesenfeld [1]. We implement this model on non-periodic graphs where it can become either isotropic or anisotropic an...
متن کاملOrganized versus self-organized criticality in the abelian sandpile model
We define stabilizability of an infinite volume height configuration and of a probability measure on height configurations. We show that for high enough densities, a probability measure cannot be stabilized. We also show that in some sense the thermodynamic limit of the uniform measures on the recurrent configurations of the abelian sandpile model (ASM) is a maximal element of the set of stabil...
متن کاملAvalanches in Fractional Cascading
This paper studies the distribution of avalanches in fractional cascading, linking the behavior to studies on self-organized criticality, in particular, the power law behavior of the Bak-Tang-Wiesenfeld sandpile model. Unlike the sandpile model, however, we prove that fractional cascading does not exhibit abelian properties. While fractional cascading has maximum gap size as a system parameter ...
متن کامل