Site-diluted Ising model in four dimensions
نویسندگان
چکیده
منابع مشابه
The Site-Diluted Ising Model in Four Dimensions
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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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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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 briefly review the Ising model with uncorrelated, quenched random-site or randombond disorder, which has been controversial in both two and four dimensions. In these dimensions, the leading exponent α , which characterizes the specific-heat critical behaviour, vanishes and no Harris prediction for the consequences of quenched disorder can be made. In the two-dimensional case, the controversy...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.80.031135