Damage spreading

Norbert Dragon

Guo Zi-zheng

The effects of the damage origins on the damage spreading on a kind of two-dimensional trivalent structures were studied with Monte Carlo method.The results showed that critical temperature of damage spreading from different polygons is different obviously.The averaged critical temperature was introduced to character the damage spreading of the structures.It is shown that as the order of the star-triangle transformation increases,the averaged critical temperatures of the structures also increase.Explanations for the results were presented.

Ian A. Campbell

The damage spreading technique is applied to ± J and Gaussian Ising spin glasses and ferromagnets in dimensions 3 and 4. By comparing with established values for the ordering temperatures in the spin glasses, it is shown that an independent damage spreading criterion can be used to obtain a reliable estimate of T g , as long as precautions are taken concerning size effects. The physical significance of the damage spreading parameter is discussed.

Devon Bowen

Thomas Vojta, Michael Schreiber

We investigate the spreading of damage in the three-dimensional Ising model by means of large-scale Monte Carlo simulations. Within the Glauber dynamics we use different rules for the order in which the sites are updated. We find that the stationary damage values and the spreading temperature are different for different update order. In particular, random update order leads to larger damage and a lower spreading temperature than regular order. Consequently, damage spreading in the Ising model is nonuniversal not only with respect to different update algorithms (e.g., Glauber vs heat-bath dynamics) as already known, but even with respect to the order of sites.