Avalanche transmission and critical behavior in load bearing hierarchical networks

Details Avalanche transmission and critical behavior in load bearing hierarchical networks Avalanche transmission and critical behavior in load bearing hierarchical networks

2011-08-09

arxiv.org/abs/1108.1897v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 10 figures, To appear in the Proceedings of "Perspectives in Nonlinear Dynamics 2010", Accepted in a special issue of

Scientific paper

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.

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