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Phys. Rev. E 49, 5001–5006 (1994)

Green’s function method for random fuse network problems

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Ravi Bhagavatula, Kan Chen, C. Jayaprakash, and Huang-Jian Xu
Department of Physics, The Ohio State University, Columbus, Ohio 43210
Department of Physics, National University of Singapore, Singapore 0511
Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90024

Received 23 November 1993; published in the issue dated June 1994

We propose and study a method that self-consistently solves for the current and voltage distributions in random fuse network problems using lattice Green’s functions. The method solves for the current distribution by only keeping track of the defect bonds and can treat networks with two extreme types of defects: insulating bonds and superconducting bonds. We apply this method to study the breakdown features of a simple two-dimensional superconductor-resistor-insulator network.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.49.5001
DOI:
10.1103/PhysRevE.49.5001
PACS:
05.40.+j