Minimal spanning tree approach to percolation and conductivity threshold

The minimal spanning tree (MST) method to analyse order and disorder in distributions of objects is used to investigate the percolation transition on a triangular lattice. It is shown numerically that the value of the threshold probability is retrieved, simultaneously with a new geometrical paramete...

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Bibliographic Details
Published in:Physics letters. A 1989-07, Vol.139 (1), p.35-38
Main Authors: Dussert, C, Rasigni, G, Rasigni, M
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Thermodynamics
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Summary:The minimal spanning tree (MST) method to analyse order and disorder in distributions of objects is used to investigate the percolation transition on a triangular lattice. It is shown numerically that the value of the threshold probability is retrieved, simultaneously with a new geometrical parameter: the mean edge length. This is expected to be useful in the conductivity studies of percolation networks such as dielectric breakdown, conductivity and other propagation phenomena. The potentialities of the method in dealing with an extensive study of percolation on continuous as well as lattice systems are also exhibited.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(89)90603-8