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Thermodynamics of the Schwarzschild-AdS Black Hole with a Minimal Length
Joint Authors
Source
Advances in High Energy Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Using the mass-smeared scheme of black holes, we study the thermodynamics of black holes.
Two interesting models are considered.
One is the self-regular Schwarzschild-AdS black hole whose mass density is given by the analogue to probability densities of quantum hydrogen atoms.
The other model is the same black hole but whose mass density is chosen to be a rational fractional function of radial coordinates.
Both mass densities are in fact analytic expressions of the δ-function.
We analyze the phase structures of the two models by investigating the heat capacity at constant pressure and the Gibbs free energy in an isothermal-isobaric ensemble.
Both models fail to decay into the pure thermal radiation even with the positive Gibbs free energy due to the existence of a minimal length.
Furthermore, we extend our analysis to a general mass-smeared form that is also associated with the δ-function and indicate the similar thermodynamic properties for various possible mass-smeared forms based on the δ-function.
American Psychological Association (APA)
Miao, Yan-Gang& Wu, Yu-Mei. 2017. Thermodynamics of the Schwarzschild-AdS Black Hole with a Minimal Length. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1121915
Modern Language Association (MLA)
Miao, Yan-Gang& Wu, Yu-Mei. Thermodynamics of the Schwarzschild-AdS Black Hole with a Minimal Length. Advances in High Energy Physics No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1121915
American Medical Association (AMA)
Miao, Yan-Gang& Wu, Yu-Mei. Thermodynamics of the Schwarzschild-AdS Black Hole with a Minimal Length. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1121915
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1121915