Thermodynamics of phase transition in higher dimensional AdS black holes - INSPIRE

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Thermodynamics of phase transition in higher dimensional AdS black holes

Sep, 2011

11 pages

Published in:

JHEP 11 (2011) 004

e-Print:

1109.2433 [gr-qc]

DOI:

10.1007/JHEP11(2011)004

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

LaTex, 11 pages, 5 figures, To appear in JHEP

Black Holes
Classical Theories of Gravity
thermodynamics: critical phenomena
black hole: Reissner-Nordstroem
black hole: Schwarzschild
specific heat
any-dimensional
black hole: anti-de Sitter
numerical calculations

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