7 papers
Static response in disk packings
Cristian F. Moukarzel, Hector Pacheco-Martinez, J. C. Ruiz-Suarez +1
We present experimental and numerical results for displacement response functions in packings of rigid frictional disks under gravity. The central disk on the bottom layer is shift…
Dynamic Drop Models
P. M. C. de Oliveira, T. J. P. Penna, A. R. Lima +3
We follow the dynamic evolution of a cluster of Ising spins pointing up surrounded by other spins pointing down, on a lattice. The cluster represents a liquid drop. Under a microsc…
Infinite characteristic length on small-world systems
Cristian F. Moukarzel, Marcio Argollo de Menezes
It was recently claimed that on d-dimensional small-world networks with a density p of shortcuts, the typical separation s(p) ~ p^{-1/d} between shortcut-ends is a characteristic l…
Directed rigidity and bootstrap percolation in (1+1) dimensions
Marcio Argollo de Menezes, Cristian F. Moukarzel
We study directed rigidity percolation (equivalent to directed bootstrap percolation) on three different lattices: square, triangular, and augmented triangular. The first two of th…
Granular matter instability: A structural rigidity point of view
Cristian F. Moukarzel
Stress paths in granular matter often suffer sudden large-scale rearrangements when the system is slightly perturbed, i.e. granular systems are unstable. We show in this paper that…
Comparison of connectivity and rigidity percolation
Cristian F. Moukarzel, Phillip M. Duxbury
We summarize ideas and methods that apply to rigidity and connectivity percolation. These include: constraint counting concepts, exact calculations on diluted trees and numerical r…