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Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition
K. J. Schrenk, A. Felder, S. Deflorin +3
The BFW model introduced by Bohman, Frieze, and Wormald [Random Struct. Algorithms, 25, 432 (2004)] and recently investigated in the framework of discontinuous percolation by Chen…
Towards designing robust coupled networks
Christian M. Schneider, Nuri Yazdani, Nuno A. M. Araujo +2
Natural and technological interdependent systems have been shown to be highly vulnerable due to cascading failures and an abrupt collapse of global connectivity under initial failu…
Transitions between epitaxial growth regimes: A (1+1)-dimensional kinetic Monte Carlo study
Cristovao S. Dias, Nuno A. M. Araujo, Antonio Cadilhe
To study epitaxial thin-film growth, a new model is introduced and extensive kinetic Monte Carlo simulations performed for a wide range of fluxes and temperatures. Varying the depo…
From invasion percolation to flow in rock fracture networks
Salomon J. Wettstein, Falk K. Wittel, Nuno A. M. Araujo +2
The main purpose of this work is to simulate two-phase flow in the form of immiscible displacement through anisotropic, three-dimensional (3D) discrete fracture networks (DFN). The…
Watersheds and Explosive percolation
Hans J. Herrmann, Nuno A. M. Araujo
The recent work by Achlioptas, D'Souza, and Spencer opened up the possibility of obtaining a discontinuous (explosive) percolation transition by changing the stochastic rule of bon…
Fracturing ranked surfaces
K. J. Schrenk, N. A. M. Araujo, J. S. Andrade +1
Discretized landscapes can be mapped onto ranked surfaces, where every element (site or bond) has a unique rank associated with its corresponding relative height. By sequentially a…