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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/4350287 |
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| _version_ | 1849395909995003904 |
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| author | Shan-Quan Lan |
| author_facet | Shan-Quan Lan |
| author_sort | Shan-Quan Lan |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b7193acb3e4d4cab9594286a56dbec4d |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b7193acb3e4d4cab9594286a56dbec4d2025-08-20T03:39:28ZengWileyAdvances 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 |
| spellingShingle | Shan-Quan Lan Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge Advances in High Energy Physics |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2018/4350287 |
| work_keys_str_mv | AT shanquanlan phasetransitionofrnadsblackholewithfixedelectricchargeandtopologicalcharge |