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4 papers · 2 filters
Quantum phase transitions of the extended isotropic XY model with long-range interactions
F. G. Ribeiro, J. P. de Lima, L. L. Goncalves
The one-dimensional extended isotropic XY model (s=1/2) in a transverse field with uniform long-range interactions among the \textit{z} components of the spin is considered. The mo…
Swimming in Granular Media
Takashi Shimada, Dirk Kadau, Troy Shinbrot +1
We study a simple model of periodic contraction and extension of large intruders in a granular bed to understand the mechanism for swimming in an otherwise solid media. Using an ev…
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…
Biased Percolation on Scale-free Networks
Hans Hooyberghs, Bert Van Schaeybroeck, André A. Moreira +3
Biased (degree-dependent) percolation was recently shown to provide new strategies for turning robust networks fragile and vice versa. Here we present more detailed results for bia…