title: Explosive percolation transition is actually continuous.
abstract: Recently a discontinuous percolation transition was reported in a new "explosive percolation" problem for irreversible systems [D. Achlioptas, R. M. D'Souza, and J. Spencer, Science 323, 1453 (2009)] in striking contrast to ordinary percolation. We consider a representative model which shows that the explosive percolation transition is actually a continuous, second order phase transition though with a uniquely small critical exponent of the percolation cluster size. We describe the unusual scaling properties of this transition and find its critical exponents and dimensions.
authors.affiliation: Departamento de Física da Universidade de Aveiro, I3N, 3810-193 Aveiro, Portugal.
authors.forename: R A
authors.initials: RA
authors.lastname: da Costa
authors.forename: S N
authors.initials: SN
authors.lastname: Dorogovtsev
authors.forename: A V
authors.initials: AV
authors.lastname: Goltsev
authors.forename: J F F
authors.initials: JF
authors.lastname: Mendes