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arxiv: cond-mat/0404082 · v1 · submitted 2004-04-04 · ❄️ cond-mat.stat-mech

Local persistense and blocking in the two dimensional Blume-Capel Model

classification ❄️ cond-mat.stat-mech
keywords alphapersistenceblockinglocalmodelanisotropybehaviorblume--
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In this letter we study the local persistence of the two--dimensional Blume-- Capel Model by extension of the concept of Glauber dynamics. We verify that for any value of the ratio $\alpha =D/J$ between anisotropy $D$ and exchange $J$ the persistence shows a power law behavior. In particular for $\alpha <0$ we find a persistence exponent $\theta_{l}=0.2096(13)$, \textit{i.e.} in the Ising universality class. For $\alpha >0$ ($\alpha \neq 1$) we observe the occurrence of blocking.

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