摘要翻译：
我们研究了三维$\pm J$Ising模型[随机交换概率$p(J_{xy}）=p\delta(J_{xy}-J)+(1-p)\delta(J_{xy}+J)$]在顺磁相和铁磁相之间的过渡线上的临界行为，该过渡线从$p=1$延伸到$p=p_n约0.767$处的多晶（Nishimori）点。通过有限尺度的Monte Carlo模拟分析，我们提供了有力的数值证据，证明沿铁磁跃迁线的临界行为与三维随机稀释Ising模型具有相同的普适性。我们得到了临界指数的结果$nu=0.682(3)$和$eta=0.036(2)$,与随机稀释Ising模型跃迁时的估计$nu=0.683(2)$和$eta=0.036(1)$相一致。
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英文标题：
《The 3D +-J Ising model at the ferromagnetic transition line》
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作者：
Martin Hasenbusch, Francesco Parisen Toldin, Andrea Pelissetto, Ettore
  Vicari
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最新提交年份：
2007
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分类信息：

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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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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英文摘要：
  We study the critical behavior of the three-dimensional $\pm J$ Ising model [with a random-exchange probability $P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)$] at the transition line between the paramagnetic and ferromagnetic phase, which extends from $p=1$ to a multicritical (Nishimori) point at $p=p_N\approx 0.767$. By a finite-size scaling analysis of Monte Carlo simulations at various values of $p$ in the region $p_N<p<1$, we provide strong numerical evidence that the critical behavior along the ferromagnetic transition line belongs to the same universality class as the three-dimensional randomly-dilute Ising model. We obtain the results $\nu=0.682(3)$ and $\eta=0.036(2)$ for the critical exponents, which are consistent with the estimates $\nu=0.683(2)$ and $\eta=0.036(1)$ at the transition of randomly-dilute Ising models.
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PDF链接：
https://arxiv.org/pdf/704.0427