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Tricritical point in explosive percolation

2010/12/31 by Nuno A. M. Araujo, Jose S. Andrade Jr, Robert M. Ziff +1 · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #physics.comp-ph

paper · pdf · doi:10.1103/physrevlett.106.095703

published as Physical Review Letters 106, 095703 (2011) · 5 pages, 6 figures, final version

arxiv created 2011/03/04 · arxiv updated 2011/03/07

Abstract

The suitable interpolation between classical percolation and a special variant of explosive percolation enables the explicit realization of a tricritical percolation point. With high-precision simulations of the order parameter and the second moment of the cluster size distribution a fully consistent tricritical scaling scenario emerges yielding the tricritical crossover exponent 1/ϕt=1.8±0.1.

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