Two-time correlation for a noise-driven double-well oscillator in the Suzuki regime

We study the two-time correlation for the noise-driven dynamics of the double-well oscillator in the Suzuki regime. It is seen that for very small noise strength the correlation function shows a lack of translational invariance for very long periods of time characterised by the Suzuki scaling variable. We see that in this strongly out-of-equilibrium situation, the conventional mode-coupling approximation is not a convenient tool.