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Scaling and self-averaging in the three-dimensional random-field Ising model

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Abstract.

We investigate, by means of extensive Monte Carlo simulations, the magnetic critical behavior of the three-dimensional bimodal random-field Ising model at the strong disorder regime. We present results in favor of the two-exponent scaling scenario, \(\bar{\eta}\) = 2η, where η and \(\bar{\eta}\) are the critical exponents describing the power-law decay of the connected and disconnected correlation functions and we illustrate, using various finite-size measures and properly defined noise to signal ratios, the strong violation of self-averaging of the model in the ordered phase.

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Authors and Affiliations

  1. Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, 15784 Zografos, Athens, Greece

    N. G. Fytas & A. Malakis

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  1. N. G. Fytas
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  2. A. Malakis
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Correspondence to N. G. Fytas.

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Fytas, N., Malakis, A. Scaling and self-averaging in the three-dimensional random-field Ising model. Eur. Phys. J. B 79, 13–20 (2011). https://doi.org/10.1140/epjb/e2010-10404-6

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