Revisiting the scaling of the specific heat of the three-dimensional random-field Ising model

Nikolaos G. Fytas, P. E. Theodorakis, A. K. Hartmann

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Abstract

We revisit the scaling behavior of the specific heat of the three-dimensional random-field Ising model with a Gaussian distribution of the disorder. Exact ground states of the model are obtained using graph-theoretical algorithms for different strengths = 268 3 spins. By numerically differentiating the bond energy with respect to h, a specific-heat-like quantity is obtained whose maximum is found to converge to a constant in the thermodynamic limit. Compared to a previous study following the same approach, we have studied here much larger system sizes with an increased statistical accuracy. We discuss the relevance of our results under the prism of a modified Rushbrooke inequality for the case of a saturating specific heat. Finally, as a byproduct of our analysis, we provide high-accuracy estimates of the critical field h c = 2.279(7) and the critical exponent of the correlation exponent ν = 1.37(1), in excellent agreement to the most recent computations in the literature.

The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2016-70364-3
Original languageEnglish
Article number200
JournalThe European Physical Journal B
Volume89
DOIs
Publication statusPublished - 14 Sep 2016

Bibliographical note

Due to publisher policy, the full text is not available on the repositroy until the 14th of September 2017.

Keywords

  • Statistical and Nonlinear Physics

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