Some Rigorous Results for the Diluted Multi-species SK Model

IF 1.3 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Journal of Statistical Physics Pub Date : 2024-12-03 DOI:10.1007/s10955-024-03376-8
Qun Liu, Zhishan Dong
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Abstract

We consider the diluted multi-species Sherrington–Kirkpatrick (DMSK) model in which the variance of disorders depend on the species the particles belong to, and the number of edges within each block is diluted. First, we find the annealed region of the DMSK model at high temperature and compute the corresponding free energy. Next, we get a fluctuation result for the overlap vector through a differential method. Lastly, by using cavity method, we obtain the corresponding replica symmetric bound and r-step of replica symmetry breaking bound.

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来源期刊
Journal of Statistical Physics
Journal of Statistical Physics 物理-物理:数学物理
CiteScore
3.10
自引率
12.50%
发文量
152
审稿时长
3-6 weeks
期刊介绍: The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.
期刊最新文献
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