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2022-04-03
摘要翻译:
我们研究了自旋受挫系统中的慢弛豫过程,其中受挫环境的屏蔽效应起着重要的作用。这种屏蔽效应归因于受挫环境的高度退化构型。这种慢弛豫是由熵效应引起的,与在随机铁磁体等系统中观察到的能垒引起的不同。在目前的体系中,即使没有能隙,慢弛豫仍然发生。因此,我们称这种现象为“熵变慢”。在这里,我们用所谓的装饰键定量地研究了Ising自旋模型中熵变慢的机制。装饰键中包含的自旋(装饰自旋)引起了一种特殊的态密度,从而引起了熵诱导的屏蔽效应。我们解析地估计了随装饰自旋数指数增长的系统的时间尺度。我们用包括临界点在内的所有温度下的时间尺度证明了弛豫过程的标度。
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英文标题:
《Mechanism of Slow Relaxation due to Screening Effect in a Frustrated
  System》
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作者:
Shu Tanaka and Seiji Miyashita
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最新提交年份:
2009
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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:
  We study a slow relaxation process in a frustrated spin system in which a type of screening effect due to a frustrated environment plays an important role. This screening effect is attributed to the highly degenerate configurations of the frustrated environment. This slow relaxation is due to an entropy effect and is different from those due to the energy barrier observed in systems such as random ferromagnets. In the present system, even if there is no energy gap, the slow relaxation still takes place. Thus, we call this phenomenon ``entropic slowing down''. Here, we study the mechanism of entropic slowing down quantitatively in an Ising spin model with the so-called decorated bonds. The spins included in decorated bonds (decoration spins) cause a peculiar density of states, which causes on entropy-induced screening effect. We analytically estimate the time scale of the system that increases exponentially with the number of decoration spins. We demonstrate the scaling of relaxation processes using the time scale at all temperatures including the critical point.
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PDF链接:
https://arxiv.org/pdf/711.3261
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