DISORDER CHAOS IN SOME DILUTED SPIN GLASS MODELS

• 成果类型: Article
• 署名作者: Chen, Wei-Kuo; Panchenk, Dmitry
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities; University of Toronto
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/17-AAP1331
• 发表日期: 2018
• 页码: 1356-1378
• 关键词: Bounds; sat

摘要

We prove disorder chaos at zero temperature for three types of diluted models with large connectivity parameter: K-spin antiferromagnetic Ising model for even K >= 2, K-spin spin glass model for even K >= 2, and random K-sat model for all K >= 2. We show that modifying even a small proportion of clauses results in near maximizers of the original and modified Hamiltonians being nearly orthogonal to each other with high probability. We use a standard technique of approximating diluted models by appropriate fully connected models and then apply disorder chaos results in this setting, which include both previously known results as well as new examples motivated by the random K -sat model.