  We study the dynamical behaviors of the criterion identifying the first-order
phase transition in the matter generated by the relativistic heavy-ion
collisions, by explicitly involving the dynamical effects based on the
Fokker-Plank framework. The perspectives we taken into account range from phase
transition scenarios, initial temperatures, volume effect, relaxation rates,
and evolution trajectories. Our numerical calculations show that the dynamical
signal of the first-order phase transition can be reserved in certain
conditions. Besides the delaying effects due to a finite relaxation time, a
larger initial temperature, a smaller volume, a larger relaxation rate, or
bending of the trajectory will lead to reduction of the signal. Our discussions
on the criterion offer valuable reference information for the experimental
detection of the first-order phase transition signal.
