  We overview the general scaling behavior of the effective temperature in the
que nches of simple non disordered systems, like ferromagnets, to and below
$T_C$. Emphasis is on the behavior as d imensionality is varied. Consequences
on the shape of the asymptotic parametric representation are derived. In
particu lar, this is always trivial in the critical quenches with $T_C>0$. We
clarify that the quench to $T_C=0$ at the lower critical dimensionality $d_L$,
cannot be regarded as a critical quench. Implications for the behavior of the
exponent $a$ of the aging response function in the quenches below $T_C$ are
developed.
