The Phase Transition of Higher Dimensional Charged Black Holes

Abstract

In this paper,we have studied phase transitions of higher dimensional charge black hole with spherical symmetry. we calculated the local energy and local temperature, and find that these state parameters satisfy the first law of thermodynamics . We analyze the critical behavior of black hole thermodynamic system by taking state parameters (Q, Φ) of black hole thermodynamic system, in accordance with considering to the state parameters (P, V ) of Van der Waals system respectively. we obtain the critical point of black hole thermodynamic system, and find the critical point is independent of the dual independent variables we selected. This result for asymptotically flat space is consistent with that for AdS spacetime, and is intrinsic property of black hole thermodynamic system.

The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes

“…It is also possible to find similar phase structures in the flat spacetime by considering the black holes in a cavity [79][80][81]. The different approaches may play the same role at the large distance scales.…”