Fig. 3: Temperature chaos increases with the coherence length.
From: Temperature chaos is present in off-equilibrium spin-glass dynamics
The figure shows the distribution function F(X, T1, T2, ξ, r) for temperatures T1 = 0.625 and T2 = 0.9, for spheres of radius r = 4 and r = 8, as computed for various values of ξ. The distributions have been extrapolated to infinite number of replicas NRep = ∞, see Supplementary Note 1 for further details. Error bars, that represent one standard deviation, are horizontal, because we have actually extrapolated the chaotic parameter, which is its inverse function X(F, T1, T2, ξ, r). Most of the spheres have a chaotic parameter very close to X = 1 (absence of chaos). However, if we fix our attention, for instance, on percentile 1 (i.e., F = 0.01) we see that the corresponding value of X decreases monotonically (and significantly) as ξ grows, signaling a developing chaotic effect. This trend is clear both for spheres of radius r = 4 and r = 8.
