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Damage spreading in two-dimensional trivalent cellular structures with competing Glauber and Kawasaki dynamics

Authors Z. Z. Guo
Kwok Yip Szeto
Issue Date 2005
Source Physical Review E, v. 71, (6), June 2005
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 Td and the Curie temperature TC of these structures are compared. We find that Td of the hierarchical lattices decreases sharply as the probability of occurrence of Kawasaki dynamics increases, whereas for soap froth and Voronoi, Td for the Voronoi and soap froth remain nearly unchanged except when the dynamics is dominated by Kawasaki dynamics. Td and TC 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 © 2005 American Physical Society
Language English
Format Article
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