Parthasarathi Majumdar 2007 Class. Quantum Grav. 24 1747 doi:10.1088/0264-9381/24/7/005
Parthasarathi Majumdar
Show affiliationsThe issue of radiant spherical black holes being in stable thermal equilibrium with their radiation bath is reconsidered. Using a simple equilibrium statistical mechanical analysis incorporating Gaussian thermal fluctuations in a canonical ensemble of isolated horizons, the heat capacity is shown to diverge at a critical value of the classical mass of the isolated horizon, given (in Planckian units) by the microcanonical entropy calculated using loop quantum gravity. The analysis reproduces the Hawking–Page phase transition discerned for anti-de Sitter black holes and generalizes it in the sense that nowhere is any classical metric made use of.
04.70.-s Physics of black holes
04.60.Pp Loop quantum gravity, quantum geometry, spin foams
05.20.Gg Classical ensemble theory
05.70.Ce Thermodynamic functions and equations of state
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
82B26 Phase transitions (general)
82B30 Statistical thermodynamics (See also 80-XX)
Issue 7 (7 April 2007)
Received 15 January 2007
Published 13 March 2007
Parthasarathi Majumdar 2007 Class. Quantum Grav. 24 1747
G Sibbens and T Altzitzoglou 2007 Metrologia 44 S71
Sang-Joon Lee et al 2005 Fluid Dyn. Res. 37 246
W C Daywitt 1994 Metrologia 30 471
Ph Grossel and F Depasse 2005 Eur. J. Phys. 26 175
Kevin K Lin and Lai-Sang Young 2008 Nonlinearity 21 899
Bong-Hwan Kim et al 2007 J. Micromech. Microeng. 17 1350
F du Burck and O Lopez 2004 Meas. Sci. Technol. 15 1327
B Cockayne and D S Robertson 1964 Br. J. Appl. Phys. 15 643
John Strain and Maciej Zworski 2004 Nonlinearity 17 1607