Dynamics of Random Networks: Connectivity and First Order Phase Transitions

Details Dynamics of Random Networks: Connectivity and First Order Phase Transitions Dynamics of Random Networks: Connectivity and First Order Phase Transitions

1995-11-11

arxiv.org/abs/cond-mat/9511052v2

Physics

Condensed Matter

Now it has the paper as well! 4 pages, 2 Postscript figures, REVTEX

Scientific paper

The connectivity of individual neurons of large neural networks determine both the steady state activity of the network and its answer to external stimulus. Highly diluted random networks have zero activity. We show that increasing the network connectivity the activity changes discontinuously from zero to a finite value as a critical value in the connectivity is reached. Theoretical arguments and extensive numerical simulations indicate that the origin of this discontinuity in the activity of random networks is a first order phase transition from an inactive to an active state as the connectivity of the network is increased.

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