English

Tricritical point in explosive percolation

Statistical Mechanics 2011-03-07 v2 Computational Physics

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±0.11/\phi_t=1.8\pm0.1.

Keywords

Cite

@article{arxiv.1012.2339,
  title  = {Tricritical point in explosive percolation},
  author = {Nuno A. M. Araujo and Jose S. Andrade and Robert M. Ziff and Hans J. Herrmann},
  journal= {arXiv preprint arXiv:1012.2339},
  year   = {2011}
}

Comments

5 pages, 6 figures, final version

R2 v1 2026-06-21T16:56:45.007Z