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Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model

Anastasios Malakis·Nikolaos G. Fytas
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Abstract

We apply the recently developed critical minimum energy subspace scheme for the investigation of the random-field Ising model. We point out that this method is well suited for the study of this model. The density of states is obtained via the Wang-Landau and broad histogram methods in a unified implementation by employing the N-fold version of the Wang-Landau scheme. The random-fields are obtained from a bimodal distribution ($h_{i}=\pm2$), and the scaling of the specific heat maxima is studied on cubic lattices with sizes ranging from $L=4$ to $L=32$. Observing the finite-size scaling behavior of the maxima of the specific heats we examine the question of saturation of the specific heat. The lack of self-averaging of this quantity is fully illustrated and it is shown that this property may be related to the question mentioned above.

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Anastasios Malakis, Nikolaos G. Fytas. 2006-01-13. Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model. https://doi.org/10.1103/physreve.73.016109

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