Damage spreading in the 'sandpile' model of SOC

TL;DR

This paper investigates how damage propagates in the sandpile model of self-organized criticality, analyzing the relationship between system size and damage spread metrics, revealing power-law behaviors.

Contribution

It introduces a detailed analysis of damage spreading in the sandpile model, highlighting the power-law scaling of critical time and damaged sites with system size.

Findings

Critical time scales as a power law with system size.

Number of damaged sites at critical time also follows a power law.

Damage spreading exhibits scale-invariant behavior.

Abstract

We have studied the damage spreading (defined in the text) in the 'sandpile' model of self organised criticality. We have studied the variations of the critical time (defined in the text) and the total no of sites damaged at critical time as a function of system size. Both shows the power law variation.