Physics
Scientific paper
Dec 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvd..62l4023w&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 62, Issue 12, 15 December 2000, id.124023
Physics
12
Supergravity, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Quantum Field Theory In Curved Spacetime, Finite-Temperature Field Theory
Scientific paper
We present a study of the thermodynamic critical behavior of a Reissner-Nordström anti-de Sitter (RNAdS) black hole in the vicinity of certain critical points in the set of black hole parameters (M,Q) at which the heat capacity at constant charge of the black hole becomes divergent, a characteristic which suggests that the second order phase transition may occur for a RNAdS black hole. Critical exponents of the relevant thermodynamical quantites are computed. Thermal fluctuation in the canonical ensemble near criticality is calculated and anomalous behavior is found for the mean square fluctuation of certain thermodynamical variables. Scaling symmetry for the free energy near a van der Waals-like critical point is also found from which scaling laws among the critical exponents are derived. The thermodynamic analogy of a RNAdS black hole with a van der Waals's liquid-gas system is then discussed and its possible relevance to our microscopic understanding of black hole physics is speculated.
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