Self-organized criticality.

@article{Bak1988SelforganizedC,
  title={Self-organized criticality.},
  author={Per Bak and Chao Tang and Kurt Wiesenfeld},
  journal={Physical review. A, General physics},
  year={1988},
  volume={38 1},
  pages={
          364-374
        },
  url={https://api.semanticscholar.org/CorpusID:7674321}
}
We show that certain extended dissipative dynamical systems naturally evolve into a critical state, with no characteristic time or length scales. The temporal ``fingerprint'' of the self-organized

Self-Organized Criticality: The Origin of Fractal Growth

We show that aggregation processes naturally evolve into self-organized critical states. The associated critical exponents provide a new characterization of fractal growth. We consider

What Can One Learn About Self-Organized Criticality from Dynamical Systems Theory?

We develop a dynamical system approach for the Zhang model of self-organized criticality, for which the dynamics can be described either in terms of iterated function systems or as a piecewise

Are earthquakes, fractals, and 1/f noise self-organized critical phenomena

Spatially extended dynamical systems can evolve towards a “self-organized” critical state. We suggest that several phenomena which are known to have temporal or spatial power law correlations are

Self-organized criticality in an interface-growth model with quenched randomness.

    H. Sakaguchi
    Physics
  • 2010
A modified model of the Kardar-Paris-Zhang equation with quenched disorder, in which the driving force decreases as the interface rises up, is studied, and the anomalous scaling law with roughness exponent α∼0.63 is numerically obtained.

The Upper Critical Dimension and ∊-Expansion for Self-Organized Critical Phenomena

Recently a new critical phenomena dubbed Self-Organized Criticality was discovered and described.1 It was shown that extended systems naturally evolve into a stationary state with power-law temporal

Rapid self-organized criticality: Fractal evolution in extreme environments.

It is shown that, like some models of self-organized criticality (SOC), RSOC generates scale-invariant event distributions and 1/f noise and, like SOC, persists despite more than an order of magnitude variation in driving rate and displays extremely thick and dynamic branching geometry.
...