Clusters in a magnetic toy model for binary granular piles

TL;DR

This paper investigates how the probability of spin flips affects the formation of clusters in a magnetic toy model simulating granular piles, revealing two distinct distribution regimes separated by a critical probability.

Contribution

It introduces a generalized magnetically controlled ballistic deposition model and identifies two regimes of cluster distributions based on the spin flip probability.

Findings

Two regimes of spin cluster distributions identified

A critical spin flip probability q_c separating regimes

Dependence of cluster formation on interaction strength J

Abstract

Results on a generalized magnetically controlled ballistic deposition (MBD) model of granular piles are reported in order to search for the effect of "spin flip" probability q in building a granular pile. Two different regimes of spin cluster site distributions have been identified, a border line $q_c(\beta J)$ where J is the interaction potential strength.