Temporal and Spatial Chaos of RN-AdS Black Holes Immersed in Perfect Fluid Dark Matter

Understand

We investigate the thermodynamic chaos of RN-AdS black holes immersed in Perfect Fluid Dark Matter by considering the dynamical equations of the fluid system evolved in the spinodal region.

• Based on the Melnikov method, it is shown that there exists a critical amplitude that affects the temporal chaos.
• And the influence of black holes charge and state parameter on the critical amplitude is investigated with specific initial temperature.
• Then, for inevitable spatial chaos, three different types of portraits are discssued according to the difference between the phase transition pressure and the ambient pressure.