Joint min-max distribution and Edwards-Anderson's order parameter of the circular 1/f-noise model
Joint min-max distribution and Edwards-Anderson's order parameter of the circular 1/f-noise model
复制标题
圆形 1/f 噪声模型的联合最小-最大分布和 Edwards-Anderson 阶参数
DOI：
10.1209/0295-5075/114/40003
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
P. Le Doussal
中科院分区：
文献类型：
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作者：
Xiangyu Cao;P. Le Doussal
本文计算了1/f噪声圆模型的联合极小极大分布和Edwards-Anderson序参量。这两个数量，以及概括，正是通过结合冻结对偶猜想和杰克多项式技术。数值检查来显着改善控制的有限尺寸效应在玻璃相，结果令人信服地验证了冻结的对偶猜想。扩散动力学的应用进行了讨论。我们还提供了一个公式的联合/边缘Carpentier-Le Doussal尾的最小/最大值，适用于任何对数随机能量模型的前因子比。
We calculate the joint min-max distribution and the Edwards-Anderson's order parameter for the circular model of 1/f-noise. Both quantities, as well as generalisations, are obtained exactly by combining the freezing-duality conjecture and Jack-polynomial techniques. Numerical checks come with significantly improved control of finite-size effects in the glassy phase, and the results convincingly validate the freezing-duality conjecture. Application to diffusive dynamics is discussed. We also provide a formula for the pre-factor ratio of the joint/marginal Carpentier-Le Doussal tail for minimum/maximum which applies to any logarithmic random energy model.