Micro-transition cascades to percolation
Disordered Systems and Neural Networks
2015-06-19 v1
Abstract
We report the discovery of a discrete hierarchy of micro-transitions occurring in models of continuous and discontinuous percolation. The precursory micro-transitions 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.
Cite
@article{arxiv.1403.7586,
title = {Micro-transition cascades to percolation},
author = {Wei Chen and Malte Schröder and Raissa M. D'Souza and Didier Sornette and Jan Nagler},
journal= {arXiv preprint arXiv:1403.7586},
year = {2015}
}
Comments
5 pages, 4 figures (main text) + 14 figures and 8 figures (supplementary materials). Accepted for publication by Physical Review Letters