Ju l 1 99 8 General properties of overlap probability distributions in disordered spin systems
Ju l 1 99 8 General properties of overlap probability distributions in disordered spin systems
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Jul l 1 99 8 无序自旋系统中重叠概率分布的一般性质
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
F. Guerra
中科院分区：
文献类型：
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作者：
S. Ghirlanda;F. Guerra
对于无序伊辛自旋系统中的一类非常一般的概率分布，在量子极限下，我们证明了真实的副本之间重叠的下列性质。考虑s个副本之间的重叠。添加一个副本% s + 1。然后，前s个副本之一（假设a）与添加的s + 1之间的重叠qa，s+ 1或者独立于前一个副本，或者与重叠qab之一相同，其中B在前s个副本之间运行，不包括a。每种情况的概率都是1/s。
For a very general class of probability distributions in disordered Ising spin systems, in the thermodynamical limit, we prove the following property for overlaps among real replicas. Consider the overlaps among s replicas. Add one replica s + 1. Then, the overlap qa,s+1 between one of the first s replicas, let us say a, and the added s + 1 is either independent of the former ones, or it is identical to one of the overlaps qab, with b running among the first s replicas, excluding a. Each of these cases has equal probability 1/s.