摘要翻译：
从一个特殊的初始条件出发，通过分析有序过程中与时间有关的磁化强度，数值研究了随机场Ising模型中无序临界点附近的合作行为。我们发现，在正常相中，随时间变化的磁化强度涨落强度$\chi(t)$在一个时刻$t=\tau$达到一个最大值，并且$\chi(\tau)$和$\tau$在无序临界点附近出现发散。此外，在时间$\tau$附近的自旋构型有一个长度尺度，在临界点附近也有一个发散。我们用有限尺度的标度方法估计了表征这些幂律发散的临界指数。
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英文标题：
《Critical fluctuations of time-dependent magnetization in a random-field
  Ising model》
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作者：
Hiroki Ohta and Shin-ichi Sasa
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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：
  Cooperative behaviors near the disorder-induced critical point in a random field Ising model are numerically investigated by analyzing time-dependent magnetization in ordering processes from a special initial condition. We find that the intensity of fluctuations of time-dependent magnetization, $\chi(t)$, attains a maximum value at a time $t=\tau$ in a normal phase and that $\chi(\tau)$ and $\tau$ exhibit divergences near the disorder-induced critical point. Furthermore, spin configurations around the time $\tau$ are characterized by a length scale, which also exhibits a divergence near the critical point. We estimate the critical exponents that characterize these power-law divergences by using a finite-size scaling method.
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PDF链接：
https://arxiv.org/pdf/706.3629