Percolation threshold of the permeable disks on the projective plane

The percolation threshold and wrapping probability for the two-dimensional problem of continuum percolation on the projecive plane have been calculated by the Monte Carlo method with the Newman-Ziff algorithm for completely permeable disks. It has been shown that the percolation threshold of disks o...

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Bibliographic Details
Published in:Journal of physics. Conference series 2016-09, Vol.751 (1), p.12036
Main Authors: Borman, V D, Grekhov, A M, Tronin, I V, Tronin, V N
Format: Article
Language:English
Subjects:
Algorithms
Disks
Monte Carlo simulation
Percolation
Permeability
Physics
Toruses
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Summary:The percolation threshold and wrapping probability for the two-dimensional problem of continuum percolation on the projecive plane have been calculated by the Monte Carlo method with the Newman-Ziff algorithm for completely permeable disks. It has been shown that the percolation threshold of disks on the projective plane coincides with the percolation threshold of disks on the surfaces of a torus and Klein bottle, indicating that this threshold is topologically invariant.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/751/1/012036