On the four-dimensional diluted Ising model
نویسندگان
چکیده
منابع مشابه
On the Four-Dimensional Diluted Ising Model
8 we have found critical exponents very similar to those of the pure Ising model. We have found that the value of the critical exponents show that for lattices up to V = 32 4 the system, for p = 0:3, is not described by the mean eld theory, as one might have believed. Moreover the critical exponents that we have found are very near to those of the pure percolation. A possible explanation would ...
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We study the site-diluted Ising model in two dimensions with Monte Carlo simulations. Using nite-size scaling techniques we compute the critical exponents observing deviations from the pure Ising ones. The diierences can be explained as the eeects of logarithmic corrections, without requiring to change the Universality Class.
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In the literature, there are five distinct, fragmented sets of analytic predictions for the scaling behaviour at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections are used to complete the scaling pictures for each set. A numerical approach is then used to confirm the leading scaling picture coming from these predictio...
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Using nite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high statistics Monte Carlo simulation for several values of the dilution. The results support the perturbative scenario: there is only the Ising xed point with large logarithmic scaling corrections. We obtain , using the Perturbative Renormalization Group, fun...
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We study the off-equilibrium critical dynamics of the three-dimensional diluted Ising model. We compute the dynamical critical exponent z and we show that it is independent of the dilution only when we take into account the scaling corrections to the dynamics. Finally, we will compare our results with the experimental data.
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1995
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/28/14/004