178 citations · 451 across the 12 of their papers we have counts for
9 papers · 1 filter
How the site degree influences quantum probability on inhomogeneous substrates
A. M. C. Souza, R. F. S. Andrade, N. A. M. Araújo +1
We investigate the effect of the node degree and energy on the electronic wave function for regular and irregular structures, namely, regular lattices, disordered percolation c…
Complex networks from space-filling bearings
J. J. Kranz, N. A. M. Araújo, J. S. Andrade +1
Two dimensional space-filling bearings are dense packings of disks that can rotate without slip. We consider the entire first family of bearings for loops of size four and propose…
Shortest path and Schramm-Loewner Evolution
N. Posé, K. J. Schrenk, N. A. M. Araújo +1
We numerically show that the statistical properties of the shortest path on critical percolation clusters are consistent with the ones predicted for Schramm-Loewner evolution (SLE)…
Optimal synchronizability of bearings
N. A. M. Araújo, H. Seybold, R. M. Baram +2
Bearings are mechanical dissipative systems that, when perturbed, relax toward a synchronized (bearing) state. Here we find that bearings can be perceived as physical realizations…
Conductivity of Coniglio-Klein clusters
Nicolas Pose, Nuno A. M. Araujo, Hans J. Herrmann
We performed numerical simulations of the -state Potts model to compute the reduced conductivity exponent for the critical Coniglio-Klein clusters in two dimensions, for…
Corrections to Scaling for Watersheds, Optimal Path Cracks, and Bridge Lines
E. Fehr, K. J. Schrenk, N. A. M. Araújo +4
We study the corrections to scaling for the mass of the watershed, the bridge line, and the optimal path crack in two and three dimensions. We disclose that these models have numer…
Scaling Relations for Watersheds
E. Fehr, D. Kadau, N. A. M. Araújo +2
We study the morphology of watersheds in two and three dimensional systems subjected to different degrees of spatial correlations. The response of these objects to small, local per…
Gaussian model of explosive percolation in three and higher dimensions
K. J. Schrenk, N. A. M. Araújo, H. J. Herrmann
The Gaussian model of discontinuous percolation, recently introduced by Araújo and Herrmann [Phys. Rev. Lett., 105, 035701 (2010)], is numerically investigated in three dimensions,…
Explosive percolation via control of the largest cluster
N. A. M. Araújo, H. J. Herrmann
We show that only considering the largest cluster suffices to obtain a first-order percolation transition. As opposed to previous realizations of explosive percolation our models o…