  Inspired by the hypothesis of the black hole molecule, with the help of the
Hawking temperature, entropy and the thermodynamics curvature of the black
hole, we propose a new measure of the relation between the interaction and the
thermal motion of molecules of the AdS black hole as a preliminary and
coarse-grained description. The measure enables us to introduce a dimensionless
ratio to characterize this relation and show that there is indeed competition
between the interaction among black hole molecules and their thermal motion.
For the charged AdS black hole, below the critical dimensionless pressure,
there are three transitions between the interaction state and the thermal
motion state. While above the critical dimensionless pressure, there is only
one transition. For the Schwarzschild-AdS black hole and five-dimensional
Gauss-Bonnet AdS black hole, there is always a transition between the
interaction state and the thermal motion state.
