Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Critical Phenomena and Phase Transitions

DY 8.6: Talk

Monday, March 31, 2014, 16:15–16:30, ZEU 118

News and views in discontinuous phase transitions — •Jan Nagler — ETH Zurich

Recent progress in the theory of discontinuous percolation allows us to better understand the the sudden emergence of large-scale connectedness both in complex networked systems and on the lattice. We analytically study mechanisms for the amplification of critical fluctuations at the phase transition point, non-self-averaging and power law fluctuations. 'Single event analysis' allows to establish criteria for discontinuous percolation transitions, even on the high-dimensional lattice. Some applications such as salad bowl percolation, competitive establishment of links in growing networks, crackling noise and inverse fragmentation are discussed.