Dynamic Behavior of Cluster Observables for the 2d Ising Model
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| Format: | Artículo científico |
| Langue: | en |
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Sociedade Brasileira de Física
2006
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| _version_ | 1876474318126317568 |
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| author | Wanderson G. Wanzeller |
| author_facet | Wanderson G. Wanzeller |
| contents | Dynamic Behavior of Cluster Observables for the 2d Ising Model Wanderson G. Wanzeller Tereza Mendes Gastão Krein Física, Astronomía y Matemáticas Percolation Ising model time dynamics Critical short We present results of our numerical study of the critical dynamics of percolation observables for the two-dimensional Ising model. We consider the (Monte Carlo) short-time evolution of the system with small initial magnetization and heat-bath dynamics. We find qualitatively different dynamic behaviors for the magnetization M and for omega, the so-called strength of the percolating cluster, which is the order parameter of the percolation transition. More precisely, we obtain a (leading) exponential form for omega as a function of the Monte Carlo time t, to be compared with the power-law increase encountered for M at short times. Our results suggest that, although the descriptions in terms of magnetic or percolation order parameters may be equivalent in the equilibrium regime, greater care must be taken to interpret percolation observables at short times. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413654014 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.36 |
| format | Artículo científico |
| id | redalyc_46413654014 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Dynamic Behavior of Cluster Observables for the 2d Ising Model Wanderson G. Wanzeller Física, Astronomía y Matemáticas Percolation Ising model time dynamics Critical short Dynamic Behavior of Cluster Observables for the 2d Ising Model Wanderson G. Wanzeller Tereza Mendes Gastão Krein Física, Astronomía y Matemáticas Percolation Ising model time dynamics Critical short We present results of our numerical study of the critical dynamics of percolation observables for the two-dimensional Ising model. We consider the (Monte Carlo) short-time evolution of the system with small initial magnetization and heat-bath dynamics. We find qualitatively different dynamic behaviors for the magnetization M and for omega, the so-called strength of the percolating cluster, which is the order parameter of the percolation transition. More precisely, we obtain a (leading) exponential form for omega as a function of the Monte Carlo time t, to be compared with the power-law increase encountered for M at short times. Our results suggest that, although the descriptions in terms of magnetic or percolation order parameters may be equivalent in the equilibrium regime, greater care must be taken to interpret percolation observables at short times. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413654014 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.36 |
| title | Dynamic Behavior of Cluster Observables for the 2d Ising Model |
| topic | Física, Astronomía y Matemáticas Percolation Ising model time dynamics Critical short |
| url | https://www.redalyc.org/articulo.oa?id=46413654014 |