Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995pasj...47..365o&link_type=abstract
PASJ: Publications of the Astronomical Society of Japan (ISSN 0004-6264), vol. 47, no. 3, p. 365-375
Astronomy and Astrophysics
Astronomy
Black Holes (Astronomy), Cavities, Entropy, Stability, Thermodynamics, Two Body Problem, Variations, Analysis (Mathematics), Energy Distribution, Equilibrium Equations, Specific Heat, Thermal Analysis
Scientific paper
A thermodynamic theory for an isolated system in cavity consisting of two subsystems with intrinsic heat capacities of opposite sign has been developed. The usual heat capacity at constant volume CV given as a linear sum of two subsystems's heat capacities, expresses the concavity of the equilibrium entropy of the system, but is not a good indicator of system stability. The mean square amplitudes of the fluctuations of the subsystems are unequivocally related to a heat capacity C'V, newly defined as the harmonic sum of those of the subsystems. A change in the system from stable to unstable occurs when C'V changes from + infinity to - infinity, or equivalently when the equilibrium entropy changes from convex (CV less than 0) to concave (CV greater than 0) through a cusp, but not through an inflection point. The thermodynamic properties of a Schwarzshild black hole immersed in black-body radiation in a cavity have been worked out in detail.
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