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arXiv · 1011.4823

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

N. G. Fytas·A. Malakis
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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, $\bar{\eta}=2\eta$, where $\eta$ 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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N. G. Fytas, A. Malakis. 2010-11-22. Scaling and self-averaging in the three-dimensional random-field Ising model. https://doi.org/10.1140/epjb/e2010-10404-6

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