自旋玻璃固有结构的网络：标度与无标度 分布

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摘要翻译：
系统的局部极小点（固有结构）及其相关的过渡链路产生网络。在这里，我们考虑了这种网络在自旋玻璃的背景下的拓扑和距离性质。我们使用最速下降动力学，为每个无序样本确定在给定的势垒高度内出现的过渡环节。我们发现连接的固有结构之间的差异通常与自旋的局部簇有关；我们在一个基于液滴的框架内解释这一点，在液滴中，特征的“长度尺度”随势垒高度增长。我们还考虑了网络的连通性及其节点的度。有趣的是，对于基于随机图的自旋玻璃，固有结构网络的度分布表现出非平凡的无标度尾。
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英文标题：
《Network of inherent structures in spin glasses: scaling and scale-free
  distributions》
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作者：
Z. Burda, A. Krzywicki and O.C. Martin
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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 local minima (inherent structures) of a system and their associated transition links give rise to a network. Here we consider the topological and distance properties of such a network in the context of spin glasses. We use steepest descent dynamics, determining for each disorder sample the transition links appearing within a given barrier height. We find that differences between linked inherent structures are typically associated with local clusters of spins; we interpret this within a framework based on droplets in which the characteristic ``length scale'' grows with the barrier height. We also consider the network connectivity and the degrees of its nodes. Interestingly, for spin glasses based on random graphs, the degree distribution of the network of inherent structures exhibits a non-trivial scale-free tail.
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PDF链接：
https://arxiv.org/pdf/707.1965

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关键词：distribution localization connectivity differences Transitions glasses 固有 标度 局部 spin