Magnetic field chaos in the Sherrington-Kirkpatrick model.

Magnetic field chaos in the Sherrington-Kirkpatrick model.
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Sherrington-Kirkpatrick 模型中的磁场混沌。

DOI:
10.1103/physreve.67.036108
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发表时间:
2003
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
B. Coluzzi
B. Coluzzi
中科院分区:
--
文献类型:
--
作者:
A. Billoire;B. Coluzzi

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我们通过使用平行回火算法的修改版本来研究 de Almeida-Thouless 线上方和下方的 Sherrington-Kirkpatrick 模型,其中允许系统在不同的磁场 h 值之间移动。两个副本之间在不同磁场 h(0) 和 h(1) 值下重叠的概率分布行为清楚地证明了中等系统尺寸已经存在磁场混沌,而温度混沌的情况则相反,温度混沌在当前可以热化的系统尺寸上是不可见的。
We study the Sherrington-Kirkpatrick model, both above and below the de Almeida-Thouless line, by using a modified version of the Parallel Tempering algorithm in which the system is allowed to move between different values of the magnetic field h. The behavior of the probability distribution of the overlap between two replicas at different values of the magnetic field h(0) and h(1) gives clear evidence for the presence of magnetic field chaos already for moderate system sizes, in contrast to the case of temperature chaos, which is not visible on system sizes that can currently be thermalized.