Tricritical point in explosive percolation

TL;DR

This paper investigates a model that interpolates between classical and explosive percolation, revealing a tricritical point characterized by specific scaling behavior through high-precision simulations.

Contribution

It introduces a new interpolation approach that explicitly realizes a tricritical percolation point with detailed scaling analysis.

Findings

Identification of a tricritical point in the percolation model

Determination of the tricritical crossover exponent as 1.8±0.1

Establishment of a consistent tricritical scaling scenario

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 $1/\phi_t=1.8\pm0.1$.