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

Phys Rev E

Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221 005, India.

Published: December 2021

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 an "external drive" timescale. As an example, we consider a class of sandpile models displaying nontrivial correlations. We apply the scaling method and determine spatial cross-correlation by establishing a relationship between local and global temporal correlations. We find that the spatial cross-correlation decays in a power-law manner with an exponent γ=1-δ, where δ characterizes a scaling of the total power of the global temporal process with the system size.

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http://dx.doi.org/10.1103/PhysRevE.104.064132DOI Listing

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