  In this paper, we study the dynamical properties of thermodynamic phase
transition (PT) for the charged AdS black hole (BH) with a global monopole via
the Gibbs free energy landscape and reveal the effects of a global monopole on
the kinetics of the AdS BH thermodynamic PT. First, we briefly review the
thermodynamics of the charged AdS BH with a global monopole. Then, we introduce
the Gibbs free energy landscape to study the thermodynamic stability of the BH
state. Because of thermal fluctuations, the small black hole (SBH) state can
transit to the large black hole (LBH) state, and vice versa. We use the
Fokker-Planck equation with the reflecting boundary condition to study the
probability evolution of the BH state with and without a global monopole
separately. We find that for both the SBH and LBH states, the global monopole
could slow down the evolution of the BH state. In addition, we obtain the
relationship between the first passage time and the monopole parameter $\eta$.
The result shows that as the monopole parameter $\eta$ increases, the mean
first passage time will be longer for both the SBH and LBH states.
