Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-26
JHEP 1012:054,2010
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 25 pages, reference added, typos corrected, English polished and the Hawking-Page phase transition clarified; to appear
Scientific paper
10.1007/JHEP12(2010)054
An important phase transition in black hole thermodynamics is associated with the divergence of the specific heat with fixed charge and angular momenta, yet one can demonstrate that neither Ruppeiner's entropy metric nor Weinhold's energy metric reveals this phase transition. In this paper, we introduce a new thermodynamical metric based on the Hessian matrix of several free energy. We demonstrate, by studying various charged and rotating black holes, that the divergence of the specific heat corresponds to the curvature singularity of this new metric. We further investigate metrics on all thermodynamical potentials generated by Legendre transformations and study correspondences between curvature singularities and phase transition signals. We show in general that for a system with n-pairs of intensive/extensive variables, all thermodynamical potential metrics can be embedded into a flat (n,n)-dimensional space. We also generalize the Ruppeiner metrics and they are all conformal to the metrics constructed from the relevant thermodynamical potentials.
Liu Haishan
Lu Hai
Luo Ming-xing
Shao Kai-Nan
No associations
LandOfFree
Thermodynamical Metrics and Black Hole Phase Transitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Thermodynamical Metrics and Black Hole Phase Transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamical Metrics and Black Hole Phase Transitions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-704151