High-temperature series analysis of the free energy and susceptibility of the 2D random-bond Ising model

Alexandra Roder, Joan Adler and Wolfhard Janke

Physica A: Statistical Mechanics and its Applications, 1999, vol. 265, issue 1, 28-42

Abstract: We derive high-temperature series expansions for the free energy and susceptibility of the two-dimensional random-bond Ising model with a symmetric bimodal distribution of two positive coupling strengths J1 and J2 and study the influence of the quenched, random bond-disorder on the critical behavior of the model. By analysing the series expansions over a wide range of coupling ratios J2/J1, covering the crossover from weak to strong disorder, we obtain for the susceptibility with two different methods compelling evidence for a singularity of the form χ∼t−7/4|lnt|7/8, as predicted theoretically by Shalaev, Shankar, and Ludwig. For the specific heat our results are less convincing, but still compatible with the theoretically predicted log–log singularity.

Keywords: High-temperature series; Ising model; Random bond-disorder (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:265:y:1999:i:1:p:28-42

DOI: 10.1016/S0378-4371(98)00481-6

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