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Microtransition cascades to percolation.

Wei Chen,Malte Schröder,2 Authors,J. Nagler

2014 · DOI: 10.1103/PhysRevLett.112.155701
Physical Review Letters · 46 Citations

TLDR

The precursory microtransitions allow the class of intrinsically stochastic processes the possibility to use warning signals anticipating phase transitions in complex systems to target almost deterministically the location of the transition point to global connectivity.

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.