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Damage spreading on two-dimensional trivalent structures with Glauber dynamics: Hierarchical and random lattices

Authors Guo, Zizheng
Szeto, Kwok Yip Ip View this author's profile
Fu, Xiujun
Issue Date 2004
Source Physical Review E , v. 70, (1), July 2004, p.16105-1-016105-5. Article no.016105
Summary The damage spreading of the Ising model on various two-dimensional trivalent structures with Glauber dynamics is investigated. It is shown that topology plays an important role in determining the damage spreading transition temperatures of the trivalent structures. When damage is considered in terms of only the topological properties of the cellular patterns, the transition temperature above which damage is saturated is found to be determined by the cells with the highest edge number. When the area of cells is also taken into account in the computation of damage, the damage spreading transition temperatures are all lowered. These results are verified by simulation on a set of hierarchical lattices constructed by recursive application of the star-triangle transformation on the vertices of the hexagonal structure, as well as soap froth and randomized lattice structures using Voronoi construction.
ISSN 1539-3755
Rights © 2004 American Physical Society
Language English
Format Article
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