25 Years of Self-organized Criticality: Concepts and Controversies

@article{Watkins201525YO,
  title={25 Years of Self-organized Criticality: Concepts and Controversies},
  author={Nicholas Wynn Watkins and Gunnar Pruessner and Sandra C. Chapman and Norma Bock Crosby and Henrik Jeldtoft Jensen},
  journal={Space Science Reviews},
  year={2015},
  volume={198},
  pages={3-44}
}
Introduced by the late Per Bak and his colleagues, self-organized criticality (SOC) has been one of the most stimulating concepts to come out of statistical mechanics and condensed matter theory in the last few decades, and has played a significant role in the development of complexity science. SOC, and more generally fractals and power laws, have attracted much comment, ranging from the very positive to the polemical. The other papers (Aschwanden et al. in Space Sci. Rev., 2014, this issue… 
25 Years of Self-organized Criticality: Space and Laboratory Plasmas
Studies of complexity in extended dissipative dynamical systems, in nature and in laboratory, require multiple approaches and the framework of self-organized criticality (SOC) has been used
Signatures of self-organized criticality in an ultracold atomic gas
TLDR
A driven–dissipative gas of ultracold potassium atoms is used to demonstrate three key signatures of self-organized criticality, and a system in which the phenomenon can be experimentally tested is provided.
25 Years of Self-Organized Criticality: Solar and Astrophysics
Shortly after the seminal paper “Self-Organized Criticality: An explanation of 1/fnoise” by Bak et al. (1987), the idea has been applied to solar physics, in “Avalanches and the Distribution of Solar
Self-Organized Criticality on Self-Similar Lattice: Exponential Time Distribution between Extremes
TLDR
This work examines the inter-event distribution of extreme avalanches generated by the BTW mechanism on symmetrical and asymmetrical self-similar lattices and posit that the deviations of the observed probability distribution from the exponential one do not affect the unpredictability of extremes drawn from the waiting time between them.
Expanding and self-organizing 2D universe models emerging from frozen trivalent spin networks
We revisit the topic of self-organized criticality (SOC) in simple statistical graph models, with the purpose of capturing essential processes leading to the emergence of macroscopic spacetime from
Criticality or Supersymmetry Breaking?
TLDR
A 1D chain of neuron-like elements is studied and it is found that the dynamics in the N-phase is indeed featured by positive stochastic Lyapunov exponents and dominated by (anti)instantonic processes of (creation) annihilation of kinks and antikinks, which can be viewed as predecessors of boundaries of neuroavalanches.
1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile
TLDR
It is established that clustering of the events in space and time together with the core principles revealed by BTW lead to approximately 1/x power-law in the size-frequency distribution of model events.
Self-organized criticality and pattern emergence through the lens of tropical geometry
TLDR
The discovery of a tropical model with self-organized criticality (SOC) behavior is reported, which is continuous, in contrast to all known models of SOC, and is a certain scaling limit of the sandpile model, the first and archetypical model of SOC.
Comparative approximations of criticality in a neural and quantum regime.
  • J. Bettinger
  • Computer Science
    Progress in biophysics and molecular biology
  • 2017
The emergence of weak criticality in SOC systems
Since Self-Organised Criticality (SOC) was introduced in 1987, both the nature of the self-organisation and the criticality remains controversial. Recent observations on rain precipitation and brain
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References

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25 Years of Self-organized Criticality: Space and Laboratory Plasmas
Studies of complexity in extended dissipative dynamical systems, in nature and in laboratory, require multiple approaches and the framework of self-organized criticality (SOC) has been used
25 Years of Self-Organized Criticality: Solar and Astrophysics
Shortly after the seminal paper “Self-Organized Criticality: An explanation of 1/fnoise” by Bak et al. (1987), the idea has been applied to solar physics, in “Avalanches and the Distribution of Solar
Mapping Self-Organized Criticality onto Criticality
TLDR
SOC is shown to result from the tuning of the {\em order parameter} to a vanishingly small, but positive value, thus ensuring that the corresponding control parameter lies exactly at its critical value for the underlying transition.
25 Years of Self-organized Criticality: Numerical Detection Methods
TLDR
Methods of detecting SOC are reviewed; from correlations to complexity to critical quantities; a description of the basic autocorrelation method leads into a detailed analysis of application-oriented methods developed in the last 25 years.
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The concept of self-organized criticality was introduced to explain the behaviour of the sandpile model. In this model, particles are randomly dropped onto a square grid of boxes. When a box
Forest fires and other examples of self-organized criticality
We review the properties of the self-organized critical (SOC) forest-fire model. The paradigm of self-organized criticality refers to the tendency of certain large dissipative systems to drive
Sweeping of an instability : an alternative to self-organized criticality to get powerlaws without parameter tuning
We show that a notable fraction of numerical and experimental works claiming the observation of self-organized criticality (SOC) rely in fact on a different physical mechanism, which involves the
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TLDR
The Deterministic Lattice Gas introduced as a paradigmatic model of the 1/f spectra arising according to the self-organized criticality scenario is reinvestigated and it is shown that this is the first fully deterministic member of the Manna universality class.
A solvable non-conservative model of Self-Organised Criticality
We present the first solvable non-conservative sandpile-like critical model of Self-Organised Criticality (SOC), and thereby substantiate the suggestion by Vespignani and Zapperi (Vespignani A. and
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