Thermodynamics of phase transition in higher dimensional AdS black holes

TL;DR

This paper studies the second order phase transition in higher-dimensional Reissner Nordstrom-AdS black holes, deriving critical parameters and analyzing thermodynamic behavior using Ehrenfest's scheme.

Contribution

It provides explicit expressions for critical temperature and mass in higher-dimensional AdS black holes and confirms the second order nature of the phase transition.

Findings

Phase transition characterized by specific heat discontinuity.

Transition from negative to positive specific heat black holes.

Results reduce to Schwarzschild AdS black holes in certain limits.

Abstract

We investigate the thermodynamics of phase transition for $ (n+1) $ dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase transition occurs from a lower mass black hole with negative specific heat to a higher mass black hole with positive specific heat. By exploring Ehrenfest's scheme we show that this is a second order phase transition. Explicit expressions for the critical temperature and critical mass are derived. In appropriate limits the results for $ (n+1) $ dimensional Schwarzschild AdS black holes are obtained.