Study of the three-dimensional Ising model on film geometry with the cluster Monte Carlo method |
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Authors: | C Ruge S Dunkelmann F Wagner J Wulf |
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Institution: | (1) Institut für Theoretische Physik und Sternwarte, Universität Kiel, D-2300 Kiel, Germany |
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Abstract: | Topological properties of clusters are used to extract critical parameters. This method is tested for the bulk properties ofd=2 percolation and thed=2, 3 Ising model. For the latter we obtain an accurate value of the critical temperatureJ/k
B
T
c=0.221617(18). In the case of thed=3 Ising model with film geometry the critical value of the surface coupling at the special transitions is determined as J1c/J=1.5004(20) together with the critical exponents
1
m
=0.237(5) and =0.461(15). |
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Keywords: | d=3 Ising model cluster algorithm critical temperature finite-size scaling surface-related critical exponents |
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