A new comprehensive study of the 3D random-field Ising model via sampling the density of states in dominant energy subspaces

N. G. Fytas () and A. Malakis

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 50, issue 1, 39-43

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

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 (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00033-1

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