In a recent experiment with rice piles [V. Frette et al., Nature 379 (1996) 49] it was observed that the distribution of avalanches presents a power-law behavior for elongated rice, while avalanches for round rice present a characteristic length. These experiments showed that granular piles may...

We study the spreading of damage D(t) in the antiferromagnetic Ising model on a triangular lattice in the presence of a magnetic field by using Glauber dynamics. Although the damage spreads (chaotic behavior) for all finite values of the field and temperature, there are two distinct...

Damage spreading(DS) of the random graph networks with power-law degree distributions is investigated using Glauber dynamics. Various subgraphs defined by the probability of acquaintance show distinct features in DS as measured by Hamming distance. A heuristic understanding of the long-time...

We extend the study of a model of competitive cluster growth in an active medium from a regular topology to a complex network topology; this is done by adding nonlocal connections with probability p to sites on a regular lattice, thus enabling one to interpolate between regularity and full...

We have studied the damage spreading (defined in the text) in the ‘sandpile’ model of self-organised criticality. We have studied the variations of the critical time (defined in the text) and the total number of sites damaged at critical time as a function of system size. Both show the power...

We study, through the damage spreading method, the dynamical transitions in the square lattice three-state chiral Potts model within the heat-bath dynamics. We clearly see five dynamical phases, among which only four of them can be associated with the static ones (ferromagnetic, chiral, floating...

We investigate two-dimensional Ising systems with multispin interactions of three- (m=3) and four-body terms (m=4). The application of a new type of finite-size algorithm of de Oliveira allow us to clearly distinguish a first-order transition (in the m=4 case) from a continuous one (in the m=3...

The (Nα,Nβ) model is investigated within the damage-spreading framework. Exact relations involving thermodynamic quantities (order parameters and correlation functions) and conveniently defined combinations of damages are obtained, which are valid for any regular (translationally invariant)...

The spreading of damage in the Ising ferromagnet in two-dimensional confined geometries of size L×M(L⪡M) close to the critical temperature is studied by means of computer simulations. Imposing both, periodic and open boundary conditions along the M-direction, the influence of the interfaces...

The evolution of the Hamming distance (damage) for the fully frustrated Ising model on the square lattice is analyzed numerically within both Glauber and heat-bath dynamic frameworks. The chaotic regime, for which an infinitesimal initial perturbation propagates, is found at all temperatures in...