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BP: Fachverband Biologische Physik

BP 22: Networks, From Topology to Dynamics I (joint SOE/DY/BP)

BP 22.3: Talk

Tuesday, April 1, 2014, 15:30–15:45, GÖR 226

Phase transitions in growing networks — •Jan Nagler — MPI for Dynamics and Self-Organization, Göttingen

Recent progress in the theory of discontinuous percolation allows us to better understand the the sudden emergence of large-scale connectedness in networked systems [1]. We analytically study mechanisms for the amplification of critical fluctuations at the phase transition point [2], non-self-averaging and power law fluctuations [3]. A single event analysis allows to establish criteria for discontinuous connectivity transitions. The framework helps also to predict abrupt tipping points in complex networks [4].
[1] J. Nagler, A. Levina, M. Timme, Impact of single links in competitive percolation, Nature Physics, 7:265-270 (2011).
[2] J. Nagler, T. Tiessen, H.W. Gutch, Continuous percolation with discontinuities, Phys. Rev. X 2, 031009 (2012).
[3] M. Schroeder, H.E. Rabari, and J. Nagler, Crackling noise in fractional percolation, Nature Commun. 3, 2222 (2013).
[4] W. Chen, M. Schroeder, R. M. D’Souza, D. Sornette, J.Nagler, Phys. Rev. Lett., accepted (2014).