Chaos in temperature in generic 2p-spin models

Abstract

We prove chaos in temperature for even $p$-spin models which include sufficiently many $p$-spin interaction terms. Our approach is based on a new invariance property for coupled asymptotic Gibbs measures, similar in spirit to the invariance property that appeared in the proof of ultrametricity in arXiv:1112.1003, used in combination with Talagrand's analogue of Guerra's replica symmetry breaking bound for coupled systems.

References in corpus (2)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound

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• Estimating rank-one matrices with mismatched prior and noise: universality and large deviations
• One step replica symmetry breaking and overlaps between two temperatures
• Small field chaos in spin glasses: universal predictions from the ultrametric tree and comparison with numerical simulations
• On Marginal Stability in Low Temperature Spherical Spin Glasses
• Deepening the knowledge of Spin Glasses: Metastate, Off-equilibrium phenomena and Temperature Chaos