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 find a persistence exponent thetal = 0:2096(13), i.e. in the Ising universality class. For alpha > 0 (<FONT FACE=Symbol>a ¹</FONT> 1) we observe the occurrence of blocking.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Física
2004
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000700027 |
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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 (<FONT FACE=Symbol>a ¹</FONT> 1) we observe the occurrence of blocking. |
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