Linking space-time correlations for a class of self-organized critical systems

  title={Linking space-time correlations for a class of self-organized critical systems},
  author={Naveen Kumar and Suram Singh and Avinash Chand Yadav},
  journal={Physical Review E},
The hypothesis of self-organized criticality explains the existence of long-range ‘space-time’ correlations, observed inseparably in many natural dynamical systems. A simple link between these correlations is yet unclear, particularly in fluctuations at ‘external drive’ time scales. As an example, we consider a class of sandpile models displaying non-trivial correlations. Employing the scaling methods, we demonstrate the computation of spatial correlation by establishing a link between local… 
1 Citations

Figures from this paper

Energy fluctuations in one dimensional Zhang sandpile model

We consider the Zhang sandpile model in one-dimension (1D) with locally conservative (or dissipative) dynamics and examine its total energy fluctuations at the external drive time scale. The



25 Years of Self-organized Criticality: Concepts and Controversies

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

Avalanche dynamics in a pile of rice

THE idea of self-organized criticality1(SOC) is commonly illustrated conceptually with avalanches in a pile of sand grains. The grains are dropped onto a pile one by one, and the pile ultimately

Universal spectral features of different classes of random-diffusivity processes

Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach, are popular concepts for the description of non-Gaussian diffusion in heterogeneous media. Studies of

“1/fα noise” is equivalent to an eigenstructure power relation

The discovery that the power spectrum of a time series of observations has a 1/fα character has been thought to imply that the generating process has some hidden, remarkable, nature, such as

Crackling noise

Results are illustrated by using results for the model of crackling noise in magnets, the use of the renormalization group and scaling collapses are explained, and some continuing challenges in this still-evolving field are highlighted.

Memoryless nonlinear response: A simple mechanism for the 1/f noise

Discovering the mechanism underlying the ubiquity of “ ” noise has been a long-standing problem. The wide range of systems in which the fluctuations show the implied long-time correlations suggests

How nature works: The science of self-organized criticality

His ruthless simplifications of geology, evolution, and neurology pay off because his models describe behavior that is common across these domains, and this universality means that trampling across others turf is not only acceptable, but almost mandatory, if the underlying principles are to be exposed.

Power Laws from Linear Neuronal Cable Theory: Power Spectral Densities of the Soma Potential, Soma Membrane Current and Single-Neuron Contribution to the EEG

A possible origin of power laws in the biophysical properties of single neurons described by the standard cable equation is demonstrated and goes beyond neuroscience as it demonstrates how power laws with a wide range of values for the power-law exponent α may arise from a simple, linear partial differential equation.


  • Rev. E 66, 050101(R)
  • 2002