Sandpile Model with Activity Inhibition

TL;DR

This paper introduces a modified sandpile model with activity inhibition, leading to super-diffusive grain movement and a size-dependent transition from classical to new critical behavior.

Contribution

It presents a novel non-Abelian sandpile model with activity inhibition that exhibits super-diffusion and a size-dependent crossover in critical behavior.

Findings

Super-diffusive grain movement observed.

Size-dependent crossover from Abelian to new critical behavior.

Model introduces activity inhibition affecting grain distribution.

Abstract

A new sandpile model is studied in which bonds of the system are inhibited for activity after a certain number of transmission of grains. This condition impels an unstable sand column to distribute grains only to those neighbours which have toppled less than m times. In this non-Abelian model grains effectively move faster than the ordinary diffusion (super-diffusion). A novel system size dependent cross-over from Abelian sandpile behaviour to a new critical behaviour is observed for all values of the parameter m.