This paper proposes a phase-change pseudo-potential lattice Boltzmann model based on the bubble dynamic theory. To maintain the stability of the liquid during the phase change process, the phase change of the model is driven by the superheat degree in the interface area instead of the thermodynamic temperature in the equation of state (EOS). The presented model is verified by the simulations of liquid film evaporation and is applied to the simulation of the bubble growth in superheated fluid and on the wall. The simulation results show that the simulation density ratio over 100 can be reached. The influence of the bubble curvature on the superheat degree in the bubble can also be reflected with the proposed model. (C) 2019 Elsevier Ltd. All rights reserved.