摘要翻译：
本文采用单参数Wang-Landau(WL)方法和外推方法，得到了三维双峰随机场Ising模型(RFIM)的二维（交换能、场能）态密度(DOS)的近似结果。本方法推广了我们以前的WL实现，通过处理WL过程的最后阶段作为熵采样方案，适合记录所需的双参数直方图。我们测试了所提出的外推方案的精度，并将其应用于研究三维双模RFIM相图的尺寸漂移行为。我们提出了一个有限尺寸的收敛方法和一个良好的行为序列估计的临界无序强度。它们的渐近移动行为产生了临界无序强度和相关的相关长度指数，这与以前从模型的基态研究中得到的估计一致。
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英文标题：
《Phase Diagram of the 3D Bimodal Random-Field Ising Model》
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作者：
N.G. Fytas and A. Malakis
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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英文摘要：
  The one-parametric Wang-Landau (WL) method is implemented together with an extrapolation scheme to yield approximations of the two-dimensional (exchange-energy, field-energy) density of states (DOS) of the 3D bimodal random-field Ising model (RFIM). The present approach generalizes our earlier WL implementations, by handling the final stage of the WL process as an entropic sampling scheme, appropriate for the recording of the required two-parametric histograms. We test the accuracy of the proposed extrapolation scheme and then apply it to study the size-shift behavior of the phase diagram of the 3D bimodal RFIM. We present a finite-size converging approach and a well-behaved sequence of estimates for the critical disorder strength. Their asymptotic shift-behavior yields the critical disorder strength and the associated correlation length's exponent, in agreement with previous estimates from ground-state studies of the model.
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PDF链接：
https://arxiv.org/pdf/802.0077