Restricted Phase Space Thermodynamics of 4D Dyonic AdS Black Holes: Insights from Kaniadakis Statistics and Emergence of Superfluid $λ$-Phase Transition
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arXiv
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2024
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| author | Baruah, Abhishek Phukon, Prabwal |
| author_facet | Baruah, Abhishek Phukon, Prabwal |
| contents | We study the thermodynamics of $4D$ dyonic AdS black hole in the Kaniadakis statistics framework using the Restricted Phase Space (RPST) formalism. This framework provides a non-extensive extension of classical statistical mechanics, drawing inspiration from relativistic symmetries and presenting a fresh perspective on black hole thermodynamics. Our study analyzes how including Kaniadakis entropy modifies the phase transition of the dyonic black holes. We consider the central charge $C$ and its conjugate chemical potential $μ$ as the thermodynamic variable along with others except the pressure and volume. Due to the addition of the magnetic charge $\tilde{Q}_m$, the study of the phase transition becomes much richer by obtaining a non-equilibrium phase transition from an unstable small black hole to a stable large black hole along with the Van der Waals phase transition in the $T-S$ processes. In the $F-T$ plot, we get an extra Hawking-Page phase transition. Including the deformation parameter $κ$ introduces an unstable (ultra-large BH) branch seen in almost all the plots. Turning off the magnetic charge flips the direction of the phase transition seen during its presence. We observe a novel phenomenon that is the superfluid $λ$ phase transition in the mixed $(\tildeΦ_e,\tilde{Q}_m)$ which is due to the additional $\tilde{Q}_m$ inclusion. Also, in the plots varying $κ$ match with the plot varying $C$ which underlines some sort of correspondence in its meaning which is not possible to observe in Gibbs-Boltzmann statistics. As the entropy models change the homogeneity is not lost where mass is of the first order and the rest is zeroth order. Finally, the $μ-C$ processes in quite similar across black hole systems and entropy formulation marking some kind of universality of this process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04375 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Restricted Phase Space Thermodynamics of 4D Dyonic AdS Black Holes: Insights from Kaniadakis Statistics and Emergence of Superfluid $λ$-Phase Transition Baruah, Abhishek Phukon, Prabwal High Energy Physics - Theory General Relativity and Quantum Cosmology We study the thermodynamics of $4D$ dyonic AdS black hole in the Kaniadakis statistics framework using the Restricted Phase Space (RPST) formalism. This framework provides a non-extensive extension of classical statistical mechanics, drawing inspiration from relativistic symmetries and presenting a fresh perspective on black hole thermodynamics. Our study analyzes how including Kaniadakis entropy modifies the phase transition of the dyonic black holes. We consider the central charge $C$ and its conjugate chemical potential $μ$ as the thermodynamic variable along with others except the pressure and volume. Due to the addition of the magnetic charge $\tilde{Q}_m$, the study of the phase transition becomes much richer by obtaining a non-equilibrium phase transition from an unstable small black hole to a stable large black hole along with the Van der Waals phase transition in the $T-S$ processes. In the $F-T$ plot, we get an extra Hawking-Page phase transition. Including the deformation parameter $κ$ introduces an unstable (ultra-large BH) branch seen in almost all the plots. Turning off the magnetic charge flips the direction of the phase transition seen during its presence. We observe a novel phenomenon that is the superfluid $λ$ phase transition in the mixed $(\tildeΦ_e,\tilde{Q}_m)$ which is due to the additional $\tilde{Q}_m$ inclusion. Also, in the plots varying $κ$ match with the plot varying $C$ which underlines some sort of correspondence in its meaning which is not possible to observe in Gibbs-Boltzmann statistics. As the entropy models change the homogeneity is not lost where mass is of the first order and the rest is zeroth order. Finally, the $μ-C$ processes in quite similar across black hole systems and entropy formulation marking some kind of universality of this process. |
| title | Restricted Phase Space Thermodynamics of 4D Dyonic AdS Black Holes: Insights from Kaniadakis Statistics and Emergence of Superfluid $λ$-Phase Transition |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.04375 |