The SK model is Full-step Replica Symmetry Breaking at zero temperature
The SK model is Full-step Replica Symmetry Breaking at zero temperature
复制标题
SK模型是零温度下全步复制对称破缺
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Q. Zeng
中科院分区：
文献类型：
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作者：
Antonio Auffinger;Wei;Q. Zeng
证明了零温下混合p自旋模型的Parisi测度有无穷多个支撑点。这建立了Parisi的预测，即Sherrington-Kirkpatrick模型的泛函序参数在零温下不是阶跃函数。结果表明，自由能Parisi公式中破缺的副本对称性能级数随着温度的升高而发散。
We prove that the Parisi measure of the mixed p-spin model at zero temperature has infinitely many points in its support. This establishes Parisi's prediction that the functional order parameter of the Sherrington-Kirkpatrick model is not a step function at zero temperature. As a consequence, we show that the number of levels of broken replica symmetry in the Parisi formula of the free energy diverges as the temperature goes to zero.
影响因子：
1.7
作者：
Auffinger, Antonio;Chen, Wei-Kuo
通讯作者：
Chen, Wei-Kuo