66 citations · 190 across the 5 of their papers we have counts for
5 papers
Coastlines violate the Schramm-Loewner Evolution
Leidy M. L. Abril, Erneson A. Oliveira, André A. Moreira +2
Mandelbrot's empirical observation that the coast of Britain is fractal has been confirmed by many authors, but it can be described by the Schramm--Loewner Evolution? Since the sel…
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…
Fracturing highly disordered materials
A. A. Moreira, C. L. N. Oliveira, A. Hansen +3
We investigate the role of disorder on the fracturing process of heterogeneous materials by means of a two-dimensional fuse network model. Our results in the extreme disorder limit…
A Hamiltonian approach for explosive percolation
A. A. Moreira, E. A. Oliveira, S. D. S. Reis +2
We introduce a cluster growth process that provides a clear connection between equilibrium statistical mechanics and an explosive percolation model similar to the one recently prop…
Fracturing the optimal paths
J. S. Andrade, E. A. Oliveira, A. A. Moreira +1
Optimal paths play a fundamental role in numerous physical applications ranging from random polymers to brittle fracture, from the flow through porous media to information propagat…