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    • Avalanche transmission and critical behaviour in load-bearing hierarchical networks

      Ajay Deep Kachhvah Neelima Gupte

      Synchronization, Coupled Systems and Networks Volume 77 Issue 5 November 2011 pp 873-879

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      https://www.ias.ac.in/article/fulltext/pram/077/05/0873-0879

    • Keywords

       

      Hierarchical lattices; avalanche time distributions; critical behaviour.

    • Abstract

       

      The strength and stability properties of hierarchical load-bearing networks and their strengthened variants have been discussed in a 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 behaviour when tested with certain fractions of its trunk weights. All other avalanche distributions show Gaussian peaked behaviour. Thus the V-lattice is the critical case of the network. We discuss the implications of this result.

    • Author Affiliations

       

      Ajay Deep Kachhvah1 Neelima Gupte1

      1. Department of Physics, Indian Institute of Technology Madras, Chennai 600 036, India

    • Dates

       
      Published
      November 2011

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