Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge

Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge

Phase transition of RN-AdS black hole is investigated from a new perspective. Not only is the cosmological constant treated as pressure but also the spatial curvature of black hole is treated as topological charge ϵ. We obtain the extended thermodynamic first law from which the mass is naturally vie...

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Main Author: Shan-Quan Lan
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/4350287
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spelling doaj-b7193acb3e4d4cab9594286a56dbec4d2020-11-25T00:29:11ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/43502874350287Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological ChargeShan-Quan Lan0Department of Physics, Lingnan Normal University, Zhanjiang, 524048, Guangdong, ChinaPhase transition of RN-AdS black hole is investigated from a new perspective. Not only is the cosmological constant treated as pressure but also the spatial curvature of black hole is treated as topological charge ϵ. We obtain the extended thermodynamic first law from which the mass is naturally viewed as enthalpy rather than internal energy. In canonical ensemble with fixed topological charge and electric charge Q, interesting van der Waals like oscillatory behavior in T-S and P-V graphs and swallow tail behavior in G-T and G-P graphs is observed. By applying the Maxwell equal area law and analysing the Gibbs free energy, we obtain analytical phase transition coexistence curves which are consistent with each other. The phase diagram is four dimensional with T,P,Q,ϵ.http://dx.doi.org/10.1155/2018/4350287
collection DOAJ
language English
format Article
sources DOAJ
author Shan-Quan Lan
spellingShingle Shan-Quan Lan
Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
Advances in High Energy Physics
author_facet Shan-Quan Lan
author_sort Shan-Quan Lan
title Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
title_short Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
title_full Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
title_fullStr Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
title_full_unstemmed Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
title_sort phase transition of rn-ads black hole with fixed electric charge and topological charge
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2018-01-01
description Phase transition of RN-AdS black hole is investigated from a new perspective. Not only is the cosmological constant treated as pressure but also the spatial curvature of black hole is treated as topological charge ϵ. We obtain the extended thermodynamic first law from which the mass is naturally viewed as enthalpy rather than internal energy. In canonical ensemble with fixed topological charge and electric charge Q, interesting van der Waals like oscillatory behavior in T-S and P-V graphs and swallow tail behavior in G-T and G-P graphs is observed. By applying the Maxwell equal area law and analysing the Gibbs free energy, we obtain analytical phase transition coexistence curves which are consistent with each other. The phase diagram is four dimensional with T,P,Q,ϵ.
url http://dx.doi.org/10.1155/2018/4350287
work_keys_str_mv AT shanquanlan phasetransitionofrnadsblackholewithfixedelectricchargeandtopologicalcharge
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