  The dynamical properties of small-large black hole phase transition in dRGT
non-linear massive gravity theory are studied based on the underlying free
energy landscape. The free energy landscape is constructed by specifying the
Gibbs free energy to every state, and the free energy profile is used to study
the different black hole phases. The small-large black hole states are
characterized by probability distribution functions and the kinetics of phase
transition are described by the Fokker-Planck equation. Further, a detailed
study of the first passage process is presented which describes the dynamics of
phase transitions. Finally, we have investigated the effect of mass and
topology on the dynamical properties of phase transitions of black holes in
dRGT non-linear massive gravity theory.
