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

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

2004-04-04

arxiv.org/abs/cond-mat/0404082v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 figures

Scientific paper

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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