Microtransition cascades to percolation

Phys Rev Lett. 2014 Apr 18;112(15):155701. doi: 10.1103/PhysRevLett.112.155701. Epub 2014 Apr 18.

Abstract

We report the discovery of a discrete hierarchy of microtransitions occurring in models of continuous and discontinuous percolation. The precursory microtransitions allow us to target almost deterministically the location of the transition point to global connectivity. This extends to the class of intrinsically stochastic processes the possibility to use warning signals anticipating phase transitions in complex systems.