  This paper investigates the dynamics of the net-baryon multiplicity
fluctuations near the QCD critical point, within the inhomogeneous temperature
and baryon chemical potential profile of quark-gluon plasma from the
hydrodynamics. We numerically solve the Langevin dynamics of conserved
net-baryon density and borrow the temperature and chemical potential profile
from hydrodynamic simulation. It is found that the local systems at different
rapidities reach the critical point at different proper times, owing to the
inhomogeneous temperature and chemical potential. As a result, we find the
pronounced enhancement of the magnitude for the net-baryon multiplicity
fluctuations with large rapidity acceptance at the freeze-out surface, which is
the consequence of the combined effect of critical slowing down and
inhomogeneous profile.
