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

Roberto da Silva·Silvio R. Dahmen
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Abstract

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 $α=D/J$ between anisotropy $D$ and exchange $J$ the persistence shows a power law behavior. In particular for $α<0$ we find a persistence exponent $θ_{l}=0.2096(13)$, \textit{i.e.} in the Ising universality class. For $α>0$ ($α\neq 1$) we observe the occurrence of blocking.

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Roberto da Silva, Silvio R. Dahmen. 2004-04-04. Local persistense and blocking in the two dimensional Blume-Capel Model. https://arxiv.org/abs/cond-mat/0404082

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