2011/09/30 by Rabin Banerjee, Dibakar Roychowdhury · 1 citation
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep11(2011)004
published as JHEP 11(2011)004 · LaTex, 11 pages, 5 figures, To appear in JHEP
arxiv created 2011/10/21 · arxiv updated 2015/05/29
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.