Departamento de Física da Universidade de Aveiro, I3N, 3810-193 Aveiro, Portugal.
Phys Rev Lett. 2010 Dec 17;105(25):255701. doi: 10.1103/PhysRevLett.105.255701. Epub 2010 Dec 14.
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.
最近，在一个新的不可逆系统的“爆炸式渗流”问题中，出现了一种不连续的渗流相变[D. Achlioptas、R. M. D'Souza 和 J. Spencer，Science 323, 1453 (2009)]，与普通的渗流形成鲜明对比。我们考虑了一个具有代表性的模型，该模型表明，爆炸式渗流相变实际上是一个连续的二级相变，尽管渗流团簇大小的临界指数独特地小。我们描述了这个相变的异常标度性质，并找到了它的临界指数和维度。
