Cognitive Regime Shift I - When the Brain Breaks/Network Breakdown Phenomena
July 23, 2018
3:30 pm - 4:20 pm
- Presenter
Sidney Redner (SFI)
- Abstract
I gave a basic review of percolation theory on lattices and outlined the behavior of physical observables, such as the correlation length, the mean cluster size, and the percolation probability on the bond occupation probability. I then discussed the analogous percolation transition on complex networks, where the degree distribution can be broad. The basic new feature of complex networks is that they are relatively robust to random removal of nodes or links and quite vulnerable to the removal of the highest-degree nodes.
Finally, I presented two examples of network breakdown phenomena: the electrical failure of electrical networks of fuse elements and the external voltage is increased, and the clogging of fluid networks during the process of filtration.
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