Fig. 1: Non-equilibrium temperature chaos is weak when averaging over the whole system.
From: Temperature chaos is present in off-equilibrium spin-glass dynamics
We compare typical spin configurations at temperature T1 and time tw1 with configurations at T2 and time tw2. The comparison is carried through a global estimator of the coherence length of their overlap \({\xi }_{1,2}^{{T}_{1}{T}_{2}}\) which represents the maximum lengthscale at which configurations at temperatures T1 and T2 still look similar, see Methods section for further details. The two times tw1 and tw2 are chosen in such a way that the configurations at both temperatures have glassy-domains of the same size, namely ξ1,2(tw1, T1) = ξ1,2(tw2, T2) = ξ. The figure shows the ratio \({\xi }_{1,2}^{{T}_{1}{T}_{2}}/\xi\) as a function of ξ for two pairs of temperatures (T1, T2), recall that Tc ≈ 1.158. Under the hypothesis of fully developed Temperature Chaos, we would expect \({\xi }_{1,2}^{{T}_{1}{T}_{2}}\) to be negligible compared to ξ. Instead, our data shows only a small decrease of \({\xi }_{1,2}^{{T}_{1}{T}_{2}}/\xi\) with growing ξ (the larger the difference T2 − T1 the more pronounced the decrease). Error bars represent one standard deviation.
