General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity

被引:142
作者
Ghirlanda, S [1 ]
Guerra, F
机构
[1] Stockholm Univ, Inst Zool, S-10691 Stockholm, Sweden
[2] Univ Rome La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[3] Univ Rome La Sapienza, Ist Nazl Fis Nucl, Sez Roma 1, I-00185 Rome, Italy
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 46期
关键词
D O I
10.1088/0305-4470/31/46/006
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 q(a,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 q(ab), with b running among the first s replicas, excluding a. Each of these cases has equal probability 1/s.
引用
收藏
页码:9149 / 9155
页数:7
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