  The nonequilibrium dynamics of long-range pairing Kitaev model with
noiseless/noisy linear time dependent chemical potential, is investigated in
the frame work of dynamical quantum phase transitions (DQPTs). We have shown
for the ramp crosses a single quantum critical point, while the short-range
pairing Kitaev model displays a single critical time scale, the long-range
pairing induces a region with three DQPTs time scales. We have found that the
region with three DQPTs time scales shrinks in the presence of the noise. In
addition, we have uncovered for a quench crossess two critical points, the
critical sweep velocity above which the DQPTs disappear, enhances by the
long-range pairing exponent while decreases in the presence of the noise. On
the basis of numerical simulations, we have shown that noise diminishes the
long-range pairing inductions.
