Temperature Chaos in Some Spherical Mixed p-Spin Models

Wei Kuo Chen; Dmitry Panchenko

doi:10.1007/s10955-016-1709-3

Temperature Chaos in Some Spherical Mixed p-Spin Models

Wei Kuo Chen, Dmitry Panchenko

School of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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≥ 3 , we show that even a smaller order perturbation induces temperature chaos.

Original language	English (US)
Pages (from-to)	1151-1162
Number of pages	12
Journal	Journal of Statistical Physics
Volume	166
Issue number	5
DOIs	https://doi.org/10.1007/s10955-016-1709-3
State	Published - Mar 1 2017

Bibliographical note

Funding Information:
Wei-Kuo Chen: Partially supported by NSF Grant DMS-1642207 and Hong Kong Research Grants Council GRF-14302515. Dmitry Panchenko: Partially supported by NSERC.

Publisher Copyright:
© 2016, Springer Science+Business Media New York.

Keywords

Chaos in temperature
Spherical models
Spin glasses

Publisher link

10.1007/s10955-016-1709-3

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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≥ 3 , we show that even a smaller order perturbation induces temperature chaos.",

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N2 - 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≥ 3 , we show that even a smaller order perturbation induces temperature chaos.

AB - 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≥ 3 , we show that even a smaller order perturbation induces temperature chaos.

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KW - Spherical models

KW - Spin glasses

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Temperature Chaos in Some Spherical Mixed p-Spin Models

Abstract

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