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On the Electrical Connectivity of a 2-D, Randomly Distributed, Two-Component (Conducting/Insulating) Mixture

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Technical Report,01 Oct 2014,30 Nov 2014

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CCDC Army Research Laboratory Aberdeen Proving Ground United States

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The connectivity of nn networks are studied as an analogy to two-component mixed cells, comprising conducting andinsulating components. The statistical realizations of the network and their probabilities are enumerated and tabulated in aneffort to determine the manner in which the probability of individual-linkage connectivity affects the overall likelihood ofnetwork connectivity. Two methods are examined, one in which the local conduction probability of each individual linkage inthe network is fixed, and a second in which the global fraction of conducting linkages in the network is constrained. The resultsindicate a threshold behavior, in which the probability or global fraction of conducting links, once reaching the threshold, aresufficient to trigger a high likelihood of connectivity across the network. As an aside, an approximate analytical approach is alsoshown, which becomes possible if restrictions are placed on the topology of the connecting pathway across the network.

Subject Categories:

  • Statistics and Probability
  • Computer Systems

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