The radial distribution function reveals the underlying mesostructure of the AdS black hole

Abstract Based on the equations of state, one can infer the underlying interaction potentials among the black hole molecules in the case of Schwarzschild-AdS and charged AdS black holes. The microscopic molecules with the interaction potential arrange in a specific way to form the mesostructure, who...

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Main Authors: Conghua Liu, Jin Wang
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2022)171
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author Conghua Liu
Jin Wang
author_facet Conghua Liu
Jin Wang
author_sort Conghua Liu
collection DOAJ
description Abstract Based on the equations of state, one can infer the underlying interaction potentials among the black hole molecules in the case of Schwarzschild-AdS and charged AdS black holes. The microscopic molecules with the interaction potential arrange in a specific way to form the mesostructure, whose size is between the macro (black hole system) and the micro (black hole molecules). As a result, the mesostructure leads to the emergence of the macroscopic phase. However, the information about the mesostructure of the AdS black hole are still elusive. In this paper, the radial distribution function is introduced to probe the mesostructure of the AdS black hole. We find that the mesostructure of the Schwarzschild-AdS black hole behaves as the ideal gas when the temperature is high. Furthermore, we find the mesostructure for the liquid-like (gas-like) phase of the small (large) charged AdS black hole. A sudden change of the mesostructure emerges from the liquid-like phase to the gas-like phase when the charged AdS black hole undergoes a phase transition from the small to large black hole, consistent with the viewpoint that the phase transition of the charged AdS black hole is reminiscent of that of the vdW fluid. This study provides a new angle towards understanding the black hole from its mesostructure.
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spelling doaj.art-3ca291dd6437411896edb66e57e81a562022-12-22T02:38:02ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221011510.1007/JHEP10(2022)171The radial distribution function reveals the underlying mesostructure of the AdS black holeConghua Liu0Jin Wang1College of Physics, Jilin UniversityDepartment of Chemistry and Department of Physics and Astronomy, State University of New York at Stony BrookAbstract Based on the equations of state, one can infer the underlying interaction potentials among the black hole molecules in the case of Schwarzschild-AdS and charged AdS black holes. The microscopic molecules with the interaction potential arrange in a specific way to form the mesostructure, whose size is between the macro (black hole system) and the micro (black hole molecules). As a result, the mesostructure leads to the emergence of the macroscopic phase. However, the information about the mesostructure of the AdS black hole are still elusive. In this paper, the radial distribution function is introduced to probe the mesostructure of the AdS black hole. We find that the mesostructure of the Schwarzschild-AdS black hole behaves as the ideal gas when the temperature is high. Furthermore, we find the mesostructure for the liquid-like (gas-like) phase of the small (large) charged AdS black hole. A sudden change of the mesostructure emerges from the liquid-like phase to the gas-like phase when the charged AdS black hole undergoes a phase transition from the small to large black hole, consistent with the viewpoint that the phase transition of the charged AdS black hole is reminiscent of that of the vdW fluid. This study provides a new angle towards understanding the black hole from its mesostructure.https://doi.org/10.1007/JHEP10(2022)171Black HolesModels of Quantum Gravity
spellingShingle Conghua Liu
Jin Wang
The radial distribution function reveals the underlying mesostructure of the AdS black hole
Journal of High Energy Physics
Black Holes
Models of Quantum Gravity
title The radial distribution function reveals the underlying mesostructure of the AdS black hole
title_full The radial distribution function reveals the underlying mesostructure of the AdS black hole
title_fullStr The radial distribution function reveals the underlying mesostructure of the AdS black hole
title_full_unstemmed The radial distribution function reveals the underlying mesostructure of the AdS black hole
title_short The radial distribution function reveals the underlying mesostructure of the AdS black hole
title_sort radial distribution function reveals the underlying mesostructure of the ads black hole
topic Black Holes
Models of Quantum Gravity
url https://doi.org/10.1007/JHEP10(2022)171
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