Validity range and merger of distinct aging scales

Characterize the parameter-space limits in which distinct aging scales persist and determine how the single aging scale and common effective temperature are recovered as coupling increases.

Background

The results indicate that sufficiently strong coupling can produce a common effective temperature and a single aging description, whereas weak coupling can preserve two aging scales and distinct effective temperatures. The paper does not determine the full boundary between these regimes or the mechanism by which the two-scale description evolves into the common-m description. This unresolved issue concerns both the dynamical regime diagram and the corresponding hierarchy of static replica solutions.