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- W2098224308 abstract "We consider the two-dimensional randomly site diluted Ising model and the random-bond $ifmmodepmelsetextpmfi{}J$ Ising model (also called the Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical behavior of thermodynamic quantities can be derived from a set of renormalization-group equations, in which disorder is a marginally irrelevant perturbation at the two-dimensional Ising fixed point. We discuss their solutions, focusing in particular on the universality of the logarithmic corrections arising from the presence of disorder. Then, we present a finite-size scaling analysis of high-statistics Monte Carlo simulations. The numerical results confirm the renormalization-group predictions, and in particular the universality of the logarithmic corrections to the Ising behavior due to quenched dilution." @default.
- W2098224308 created "2016-06-24" @default.
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- W2098224308 date "2008-07-11" @default.
- W2098224308 modified "2023-10-17" @default.
- W2098224308 title "Universal dependence on disorder of two-dimensional randomly diluted and random-bond<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mo>±</mml:mo><mml:mi>J</mml:mi></mml:mrow></mml:math>Ising models" @default.
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- W2098224308 doi "https://doi.org/10.1103/physreve.78.011110" @default.
- W2098224308 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/18763922" @default.
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