We investigate, through the damage spreading method, the correlation length associated with the two-point correlation function between damage fluctuations, and the damage susceptibility of the square-lattice three-state Potts ferromagnet. We find that both quantities tend to diverge at the...

The Shore–Sethna model is one of the simplest spin models including frustration at microscopic level. It consists of a three-dimensional system of Ising spins with ferromagnetic nearest-neighbors and antiferromagnetic next-nearest-neighbors interactions, and the competition between these two...

The mean field XY Hamiltonian, a suitable model for studying long-range interactions in extended systems, presents, amongst other interesting features, slow relaxation and formation of quasi-stationary (QS) states. It is now known that, along these QS trajectories, the system visits critical...

In this work we introduce a neural network model for associative memory based on a diluted Hopfield model, which grows through a neurogenesis algorithm that guarantees that the final network is a small-world and scale-free one. We also analyze the storage capacity of the network and prove that...

In this work, we study the effects of embedding a system of non-linear phase oscillators in a two-dimensional scale-free lattice. In order to analyze the effects of the embedding, we consider two different topologies. On the one hand, we consider a scale-free complex network where no constraint...

We present a numerical study of the self-affine profiles obtained from configurations of the Ising model in d=1 with long-range interactions decaying with distance r as J(r)∼r−(1+ζ) for the cases ζ=0.3 and 0.5. The second-order static phase transition of this model is located by sharp...

We introduce a new class of growth models, with a surface restructuring mechanism in which impinging particles may dislodge suspended particles, previously aggregated on the same column in the deposit. The flux of these particles is controlled through a probability p. These systems present a...