Avalanche transmission and critical behavior in load bearing hierarchical networks

TL;DR

This paper investigates avalanche behaviors in hierarchical load bearing networks, revealing that the V-lattice exhibits critical power-law avalanche distributions, unlike other network variants which show Gaussian behavior.

Contribution

It identifies the V-lattice as a critical network with power-law avalanche distributions, highlighting its unique stability properties compared to other variants.

Findings

V-lattice shows power-law avalanche distribution indicating criticality

Other network variants display Gaussian peaked avalanche distributions

V-lattice's critical behavior has implications for network stability

Abstract

The strength and stability properties of hierarchical load bearing networks and their strengthened variants have been discussed in recent work. Here, we study the avalanche time distributions on these load bearing networks. The avalanche time distributions of the V- lattice, a unique realization of the networks, show power-law behavior when tested with certain fractions of its trunk weights. All other avalanche distributions show Gaussian peaked behavior. Thus the V- lattice is the critical case of the network. We discuss the implications of this result.