A new comprehensive study of the 3D random-field Ising model via
sampling the density of states in dominant energy subspaces |
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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, GR 15784 Zografos, Athens, Greece |
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Abstract: | The three-dimensional bimodal random-field Ising model is studied
via a new finite temperature numerical approach. The methods of
Wang-Landau sampling and broad histogram are implemented in a
unified algorithm by using the N-fold version of the Wang-Landau
algorithm. The simulations are performed in dominant energy
subspaces, determined by the recently developed critical minimum
energy subspace technique. The random-fields are obtained from a
bimodal distribution, that is we consider the discrete
(±Δ) case and the model is studied on cubic lattices with
sizes 4≤L ≤20. In order to extract information for the
relevant probability distributions of the specific heat and
susceptibility peaks, large samples of random-field realizations
are generated. The general aspects of the model's scaling behavior
are discussed and the process of averaging finite-size anomalies
in random systems is re-examined under the prism of the lack of
self-averaging of the specific heat and susceptibility of the
model. |
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Keywords: | 05 70 Jk Critical point phenomena 64 60 Fr Equilibrium properties near critical points critical exponents 75 10 Hk Classical spin models 75 50 Lk Spin glasses and other random magnets |
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