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Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models

Hasenbusch, M. and Toldin, F. Parisen and Pelissetto, A. and Vicari, E. (2008) Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models. Physical review. E, Statistical, nonlinear, and soft matter physics, 78 . 011110. ISSN 1550-2376

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Abstract

We consider the two-dimensional randomly site diluted Ising model and the random-bond +-J Ising model (also called 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.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 09 Apr 2015 16:06
Last Modified: 09 Apr 2015 16:06
URI: http://eprints.adm.unipi.it/id/eprint/1853

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