On global site-percolation on the correlated honeycomb lattice

Stefan Reimann and Jürgen Bendisch

Physica A: Statistical Mechanics and its Applications, 2001, vol. 296, issue 3, 391-404

Abstract: We consider global site percolation on a correlated bi-colored honeycomb lattice. The correlated medium is constructed from an independently randomly bi-colored triangular lattice due to a state dependent constraint. The constraint evokes short-range correlations and establishes a simple symmetry in the random system, thereby significantly affecting the system's critical behavior. Particularly, there exist two phase transitions pc≈0.2902 and qc≈0.7097, these thresholds are shifted away from those expected in independent percolation. Values are in good agreement with bounds analytically derived here.

Keywords: Thresholds in 2D site percolation; Constrained honeycomb lattice (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:296:y:2001:i:3:p:391-404

DOI: 10.1016/S0378-4371(01)00168-6

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