Phase diagram of the 3D bimodal random-field Ising model |
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Authors: | N G Fytas A Malakis |
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Institution: | (1) Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, 15784 Zografos, Athens, Greece |
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Abstract: | The one-parametric Wang-Landau (WL) method is
implemented together with an extrapolation scheme to yield
approximations of the two-dimensional (exchange-energy,
field-energy) density of states (DOS) of the 3D bimodal
random-field Ising model (RFIM). The present approach generalizes
our earlier WL implementations, by handling the final stage of the
WL process as an entropic sampling scheme, appropriate for the
recording of the required two-parametric histograms. We test the
accuracy of the proposed extrapolation scheme and then apply it to
study the size-shift behavior of the phase diagram of the 3D
bimodal RFIM. We present a finite-size converging approach and a
well-behaved sequence of estimates for the critical disorder
strength. Their asymptotic shift-behavior yields the critical
disorder strength and the associated correlation length's
exponent, in agreement with previous estimates from ground-state
studies of the model. |
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Keywords: | 05 50+q 64 60 Fr Equilibrium properties near critical points critical exponents 75 10 Nr Spin-glass and other random models |
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