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

Wei-Kuo Chen; Dmitry Panchenko

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arXiv · 1608.02478

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

Wei-Kuo Chen·Dmitry Panchenko

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Abstract

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.

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Wei-Kuo Chen, Dmitry Panchenko. 2016-08-08. Temperature chaos in some spherical mixed $p$-spin models. https://arxiv.org/abs/1608.02478

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