Disorder Chaos in the Spherical Mean-Field Model
Disorder Chaos in the Spherical Mean-Field Model
复制标题
球面平均场模型中的无序混沌
DOI：
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复制
发表时间：
2015
期刊：
影响因子：
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通讯作者：
Yuan
中科院分区：
文献类型：
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作者：
Wei;Hsi;C. Hwang;Yuan
研究了球面平均场模型中的无序混沌问题。它涉及两个独立采样的自旋组态之间的重叠行为，这些自旋组态来自两个具有相同外部参数的吉布斯测量。预测指出，如果哈密顿量中的无序稍微解耦，那么重叠将集中在一个恒定值附近。在格拉的复制对称破缺方案之后，我们在自由能和吉布斯测量的水平上建立了这一点。
We study the problem of disorder chaos in the spherical mean-field model. It concerns the behavior of the overlap between two independently sampled spin configurations from two Gibbs measures with the same external parameters. The prediction states that if the disorders in the Hamiltonians are slightly decoupled, then the overlap will be concentrated near a constant value. Following Guerra’s replica symmetry breaking scheme, we establish this at the levels of the free energy and the Gibbs measure.