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

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 $p\ge 3$, we show that even a smaller order perturbation induces temperature chaos.

14 pages, Minor revision

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