弱无序二维粗化的几何性质

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摘要翻译：
用数值模拟方法研究了弱无序铁磁体从高温相淬火到低温相的畴形貌。我们发现粗化畴结构的几何性质，如壳围面积的分布和畴周长的分布，是用尺度唯象来描述的，其中生长畴尺度R(t)是唯一相关的参数。此外，标度函数具有与相应纯系统相同的形式，扩展了对关联函数的超普适性。
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英文标题：
《Geometric properties of two-dimensional coarsening with weak disorder》
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作者：
Alberto Sicilia, Jeferson J. Arenzon, Alan J. Bray, Leticia F.
  Cugliandolo
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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：
  The domain morphology of weakly disordered ferromagnets, quenched from the high-temperature phase to the low-temperature phase, is studied using numerical simulations. We find that the geometrical properties of the coarsening domain structure, e.g., the distributions of hull enclosed areas and domain perimeter lengths, are described by a scaling phenomenology in which the growing domain scale R(t) is the only relevant parameter. Furthermore, the scaling functions have forms identical to those of the corresponding pure system, extending the 'super-universality' property previously noted for the pair correlation function.
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PDF链接：
https://arxiv.org/pdf/711.3848

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关键词：localization distribution equilibrium Transitions correlation 标度 函数 系统 phase Geometric