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Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures

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arxiv 1906.10840 v2 pith:6BT4BYWP submitted 2019-06-26 gr-qc hep-th

classification gr-qchep-th
keywords blackholechargedholesinteractionmicrostructuresrepulsiveattractive
verification ladder T0 review T1 audit T2 compute T3 formal
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The Ruppeiner geometry of thermodynamic fluctuations provides a powerful diagnostic of black hole microstructures. We investigate this for charged AdS black holes and find that while an attractive microstructure interaction dominates for most parameter ranges, a weak repulsive interaction dominates for small black holes of high temperature. This unique property distinguishes the black hole system from that of a Van der Waals fluid, where only attractive microstructure interactions are found. We also find two other novel universal properties for charged black holes. One is that the repulsive interaction is independent of the black hole charge and temperature. The other is that the behavior of the Ruppeiner curvature scalar near criticality is characterized by a dimensionless constant that is identical to that for a Van der Waals fluid, providing us with new insight into black hole microstructures.

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Cited by 7 Pith papers

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