  An increase in the size of coherent domains in the one component $\Phi^4$
field theory under the influence of a uniformly changing external magnetic
field near the critical end-point $T_{\Phi}=T_c, h_{\Phi}=0$ was proposed
recently as an estimate also for the variation of the chiral correlation length
of QCD near its respective hypothetical end point in the $T_{QCD}-\mu_{QCD}$
plane. The present detailed numerical investigation of the effective model
suggests that passing by the critical QCD end point with realistic rate of
temperature change will trigger large amplitude oscillations in the temporal
variation of the chiral correlation length. A simple mechanism for producing
this phenomenon is suggested.
