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

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Ising model
Specific heat
specific heat
scaling
exponents
Gaussian distribution
Prisms
normal density functions
Ground state
prisms
Byproducts
Thermodynamics
disorders
thermodynamics
ground state
estimates
energy

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

Cite this

Revisiting the scaling of the specific heat of the three-dimensional random-field Ising model. / Fytas, Nikolaos G.; Theodorakis, P. E.; Hartmann, A. K.

In: The European Physical Journal B, Vol. 89, 200, 14.09.2016.

Research output: Contribution to journalArticle

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