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arXiv 1608.02478math.PRmath-phmath.MP
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某些球型混合$p$ -自旋模型的温度混沌

Temperature chaos in some spherical mixed $p$-spin models

Wei-Kuo Chen, Dmitry Panchenko

摘要:

本文给出了两类温度混沌成立的球混合偶$p$自旋模型的例子。这些补充了一些已知的球形纯$p$自旋模型和伊辛自旋模型的结果。例如,在对比最近的结果Subag谁表明没有混乱的温度在球形纯$p$ -自旋模型$p\geq 3$,我们表明,即使是一个较小的顺序扰动诱导温度混沌。

英文摘要:

We give two types of examples of the spherical mixed even-$p$-spin models for which chaos in temperature holds. These complement some known results for the spherical pure $p$-spin models and for models with Ising spins. For example, in contrast to a recent result of Subag who showed absence of chaos in temperature in the spherical pure $p$-spin models for $p\geq 3$, we show that even a smaller order perturbation induces temperature chaos.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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