Extended droplet theory for aging in short-range spin glasses and a numerical examination

Extended droplet theory for aging in short-range spin glasses and a numerical examination
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短程自旋玻璃老化的扩展液滴理论和数值检验

DOI:
10.1103/physrevb.66.064431
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发表时间:
2002
期刊:
影响因子:
3.7
通讯作者:
H. Takayama
H. Takayama
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
H. Yoshino;K. Hukushima;H. Takayama

文献摘要

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通过蒙特卡罗模拟详细分析了一个四维Edwards-Anderson模型的等温老化过程。我们从最近提出的液滴理论的一个扩展版本的角度对数据进行了分析,该液滴理论是基于原始的液滴理论,加上对存在磁区壁的反常软液滴的猜想。我们发现,包括原始液滴理论的一些基本预测在内的标度定律很好地解释了我们的结果。我们的模拟结果强烈地表明,时间平移不变性和涨落耗散定理的破缺与我们的假设是一致的。
We analyze isothermal aging of a four-dimensional Edwards-Anderson model in detail by Monte Carlo simulations. We analyze the data in the view of an extended version of the droplet theory proposed recently which is based on the original droplet theory plus conjectures on the anomalously soft droplets in the presence of domain walls. We found that the scaling laws including some fundamental predictions of the original droplet theory explain our results well. The results of our simulation strongly suggest the separation of the breaking of the time translational invariance and the fluctuation dissipation theorem in agreement with our scenario.