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.
T. Vojta and M. Schreiber, "Differences between Regular and Random Order of Updates in Damage-Spreading Simulations," Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, vol. 58, no. 6 B, pp. 7998-8000, American Physical Society (APS), Dec 1998.
The definitive version is available at https://doi.org/10.1103/PhysRevE.58.7998
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