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Damage Spreading in Two-dimensional Trivalent Cellular Structures with Competing Glauber and Kawasaki Dynamics

Authors Guo, ZZ
Szeto, KY
Issue Date 2005
Source PHYSICAL REVIEW E , v. 71, (6, Part 2), 2005, JUN, article number 066115
Summary The damage spreading of the Ising model on several two-dimensional trivalent structures, including soap froth, Voronoi, and hierarchical structures, are studied with competing Glauber and Kawasaki dynamics. The damage spreading transition temperature T-d and the Curie temperature T-C of these structures are compared. We find that T-d of the hierarchical lattices decreases sharply as the probability of occurrence of Kawasaki dynamics increases, whereas for soap froth and Voronoi, T-d for the Voronoi and soap froth remain nearly unchanged except when the dynamics is dominated by Kawasaki dynamics. T-d and T-C in our two-dimensional structures are nearly the same and they behave similarly as we change the relative probability of occurrence of the Glauber and Kawasaki dynamics. A heuristic argument is provided to explain the numerical results.
ISSN 1539-3755
Rights Physical Review E © (2005) American Physical Society. The Journal's web site is located at
Language English
Format Article
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