Temperature Chaos does exists in non-equilibrium spin-glass dynamics.

Spin glasses exhibit a fragile behavior in response to perturbations such as temperature changes. Specifically, arbitrary small changes in the temperature would lead to a complete reorganization of the equilibrium configuration of the spin glass. This equilibrium phenomenon is named Temperature Chaos [1,2].

I shall argue that an effect that closely mimics Temperature Chaos is, indeed, present in the non-equilibrium dynamics of a spin glass. This new phenomenon has been observed in a large-scale simulation in the dedicated computer Janus II [3]. Therefore, we believe that this work lays the ground for the theoretical analysis of temperature-cycling experiments in glassy systems.

We find that, the key quantity which is ruling the non-equilibrium Temperature Chaos phenomenon is the correlation length ξ. Also, we find a crossover between weak and strong chaos regime controlled by a crossover length ξ*.

[1] A. J. Bray and M. A. Moore, Phys. Rev. Lett. 58, 57 (1987)
[2] J. R. Banavar and A. J. Bray, Phys. Rev. B 35, 8888 (1987)
[3] J. Moreno-Gordo et al Work in preparation