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

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

2010-11-22

arxiv.org/abs/1011.4823v1

Eur. Phys. J. B 79, 13--20 (2011)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 6 figures, to be published in Eur. Phys. J. B

Scientific paper

10.1140/epjb/e2010-10404-6

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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