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

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

2005-09-27

arxiv.org/abs/cond-mat/0509686v2

Phys. Rev. E vol.73, 016109 (2006)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 7 figures, extended version with two new figures, version as accepted for publication to Physical Review E

Scientific paper

10.1103/PhysRevE.73.016109

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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