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arXiv · 1203.6542

Black Hole Statistical Mechanics and The Angular Velocity Ensemble

Mitchell Thomson·Charles C. Dyer
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Abstract

An new ensemble - the angular velocity ensemble - is derived using Jaynes' method of maximising entropy subject to prior information constraints. The relevance of the ensemble to black holes is motivated by a discussion of external parameters in statistical mechanics and their absence from the Hamiltonian of general relativity. It is shown how this leads to difficulty in deriving entropy as a function of state and recovering the first law of thermodynamics from the microcanonical and canonical ensembles applied to black holes.

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Mitchell Thomson, Charles C. Dyer. 2012-03-29. Black Hole Statistical Mechanics and The Angular Velocity Ensemble. https://arxiv.org/abs/1203.6542

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