Speaker
Description
The thermal phase transitions of the AdS black holes are controlled through a stochastic process and are a function of an order parameter. The dynamics during its phase transitions is determined through the fluctuating macroscopic variables, we recall the Fokker-Planck equation to study the evolution of such a process in the Born-Infeld-AdS background. Moreover, we discuss about the critical points and their topology during thermal phase transitions of the Born-Infeld AdS black holes. Such investigations are made using two different topological approaches, namely, using Duan’s topological current $\phi$-mapping theory, and the off-shell free energy. Within Duan’s formalism, we observe that for a given value of the Born-Infeld parameter $b$, there exists a connection to the charge parameter $Q$, which is highly sensitive to the topological phase transitions. This way we examine the connections of the first-order phase transition with the topological nature of the critical points to find the possible breakdown in certain parametric ranges. As the second approach, we call the offshell free energy to determine the topological classes: of which one corresponds to the AdS-Schwarzschild black hole phases, while the other corresponds to the AdS-Reissner–Nordström black hole phases providing a topological phase transition.
