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Tricritical point in explosive percolation
Nuno A. M. Araujo, Jose S. Andrade, Robert M. Ziff +1
The suitable interpolation between classical percolation and a special variant of explosive percolation enables the explicit realization of a tricritical percolation point. With hi…
Catastrophic Cascade of Failures in Interdependent Networks
S. Havlin, N. A. M. Araujo, S. V. Buldyrev +4
Modern network-like systems are usually coupled in such a way that failures in one network can affect the entire system. In infrastructures, biology, sociology, and economy, system…
q-state Potts model on the Apollonian network
Nuno A. M. Araújo, Roberto F. S. Andrade, Hans J. Herrmann
The q-state Potts model is studied on the Apollonian network with Monte Carlo simulations and the Transfer Matrix method. The spontaneous magnetization, correlation length, entropy…
Jammed state characterization of the random sequential adsorption of segments of two lengths on a line
N. A. M. Araujo, A. Cadilhe
We characterize the jammed state structure of the random sequential adsorption of segments of two different sizes on a line. To this end, we define the size ratio as a dimensionles…