Local persistence and blocking in the two-dimensional blume-capel model

In this paper we study the local persistence of the two-dimensional Blume-Capel Model by extending 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...

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Bibliographic Details
Published in:Brazilian journal of physics 2004-12, Vol.34 (4a), p.1469-1472
Main Authors: Silva, Roberto da, Dahmen, S. R.
Format: Article
Language:English
Subjects:
PHYSICS, MULTIDISCIPLINARY
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Summary:In this paper we study the local persistence of the two-dimensional Blume-Capel Model by extending 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 thetal = 0:2096(13), i.e. in the Ising universality class. For alpha > 0 ( a ¹ 1) we observe the occurrence of blocking.
ISSN:0103-9733
1678-4448
DOI:10.1590/S0103-97332004000700027