Site percolation for a class of constrained honeycomb lattices

Jürgen Bendisch, Stefan Reimann and Hartmut von Trotha

Physica A: Statistical Mechanics and its Applications, 2002, vol. 307, issue 1, 1-14

Abstract: We consider site percolation in a class of correlated random media derived from randomly bi-colored triangular lattices. Media are constructed due to specific state-dependent local constraints. Constraints destroy stochastic independence of elementary events and have specific impact on site percolation thresholds. Further, a connection to critical concentrations of spontaneous magnetization in random 2D±J Ising models, at groundstates, is discussed.

Keywords: Thresholds in 2D site percolation; Class of constrained honeycomb lattices (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:307:y:2002:i:1:p:1-14

DOI: 10.1016/S0378-4371(01)00611-2

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