Scaling behavior of information entropy in explosive percolation transitions

An explosive percolation transition is the abrupt emergence of a giant cluster at threshold caused by suppression growth large clusters. In this paper, we consider information entropy cluster-size distribution, which probability distribution for size randomly chosen cluster. It has been reported that does not reach its maximum in models, result seemingly contrary to other previous results shows power-law behavior and diversity (number distinct sizes) threshold. Here, show phenomenon due fact scaling form given differently below above We also establish behaviors first second derivatives near explain why derivative negative minimum diverges negatively (positively) left (right) limit threshold, as predicted through simulation.