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

TL;DR

This paper investigates the relationship between space-time correlations in self-organized critical systems, specifically sandpile models, by establishing a link between local and global temporal correlations using scaling methods.

Contribution

It introduces a novel approach to connect spatial and temporal correlations in self-organized critical systems through scaling analysis.

Findings

Derived a method to compute spatial correlations from temporal correlations.

Established a link between local and global temporal correlations in sandpile models.

Enhanced understanding of long-range correlations in critical systems.

Abstract

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 and global temporal correlations.