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Universality in the three-dimensional random-field ising model

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Fytas, Nikolaos G. and Martín Mayor, Víctor (2013) Universality in the three-dimensional random-field ising model. Physical review letters, 110 (22). ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.110.227201


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https://journals.aps.orgPublisher


Abstract

We solve a long-standing puzzle in statistical mechanics of disordered systems. By performing a high-statistics simulation of the D = 3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.


Item Type:Article
Additional Information:

© 2013 American Physical Society. We were partly supported by MICINN, Spain, through research contracts No. FIS2009-12648-C03 and No. FIS2012-35719-C02-01. Significant allocations of computing time were obtained in the clusters Terminus and Memento (BIFI). We are grateful to D. Yllanes and, especially, to L. A. Fernández for substantial help during several parts of this work. We also thank A. Pelissetto and G. Tarjus for useful correspondence.

Uncontrolled Keywords:Critical exponents; Phase-transitions; Criticalbehavior; Zero-temperature; Random-sustems; Scaling theory; Percolation; Dimensions; Fe(0.93)Zn(0.07)F(2); Ferromagnet.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:45092
Deposited On:22 Nov 2017 11:33
Last Modified:11 Dec 2017 11:51

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