Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly
We investigate the phase transitions of black holes with conformal anomaly in canonical ensemble. Some interesting and novel phase transition phenomena have been discovered. It is shown that there are striking differences in both Hawking temperature and phase structure between black holes with confo...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/739454 |
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| _version_ | 1850110647947231232 |
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| author | Jie-Xiong Mo Wen-Biao Liu |
| author_facet | Jie-Xiong Mo Wen-Biao Liu |
| author_sort | Jie-Xiong Mo |
| collection | DOAJ |
| description | We investigate the phase transitions of black holes with conformal anomaly in canonical ensemble. Some interesting and novel phase transition phenomena have been discovered. It is shown that there are striking differences in both Hawking temperature and phase structure between black holes with conformal anomaly and those without it. Moreover, we probe in detail the dependence of phase transitions on the choice of parameters. The results show that black holes with conformal anomaly have much richer phase structure than those without it. There would be two, only one, or no phase transition points depending on the parameters. The corresponding parameter regions are derived both numerically and graphically. Geometrothermodynamics are built up to examine the phase structure we have discovered. It is shown that Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat diverges. Furthermore, critical behaviors are investigated by calculating the relevant critical exponents. And we prove that these critical exponents satisfy the thermodynamic scaling laws. |
| format | Article |
| id | doaj-art-44fc6fe5b69848eaabf7f150c67aada5 |
| institution | OA Journals |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-44fc6fe5b69848eaabf7f150c67aada52025-08-20T02:37:48ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/739454739454Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal AnomalyJie-Xiong Mo0Wen-Biao Liu1Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, ChinaDepartment of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, ChinaWe investigate the phase transitions of black holes with conformal anomaly in canonical ensemble. Some interesting and novel phase transition phenomena have been discovered. It is shown that there are striking differences in both Hawking temperature and phase structure between black holes with conformal anomaly and those without it. Moreover, we probe in detail the dependence of phase transitions on the choice of parameters. The results show that black holes with conformal anomaly have much richer phase structure than those without it. There would be two, only one, or no phase transition points depending on the parameters. The corresponding parameter regions are derived both numerically and graphically. Geometrothermodynamics are built up to examine the phase structure we have discovered. It is shown that Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat diverges. Furthermore, critical behaviors are investigated by calculating the relevant critical exponents. And we prove that these critical exponents satisfy the thermodynamic scaling laws.http://dx.doi.org/10.1155/2014/739454 |
| spellingShingle | Jie-Xiong Mo Wen-Biao Liu Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly Advances in High Energy Physics |
| title | Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly |
| title_full | Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly |
| title_fullStr | Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly |
| title_full_unstemmed | Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly |
| title_short | Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly |
| title_sort | phase transitions geometrothermodynamics and critical exponents of black holes with conformal anomaly |
| url | http://dx.doi.org/10.1155/2014/739454 |
| work_keys_str_mv | AT jiexiongmo phasetransitionsgeometrothermodynamicsandcriticalexponentsofblackholeswithconformalanomaly AT wenbiaoliu phasetransitionsgeometrothermodynamicsandcriticalexponentsofblackholeswithconformalanomaly |