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.
Bibliographical noteFunding 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.
© 2016, Springer Science+Business Media New York.
- Chaos in temperature
- Spherical models
- Spin glasses