Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole
We first review Weinhold information geometry and Ruppeiner information geometry of 3D charged-dilaton black hole. Then, we use the Legendre invariant to introduce a 2-dimensional thermodynamic metric in the space of equilibrium states, which becomes singular at those points. According to the analys...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/865354 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549103331966976 |
|---|---|
| author | Yiwen Han XiaoXiong Zeng |
| author_facet | Yiwen Han XiaoXiong Zeng |
| author_sort | Yiwen Han |
| collection | DOAJ |
| description | We first review Weinhold information geometry and Ruppeiner information geometry of 3D charged-dilaton black hole. Then, we use the Legendre invariant to introduce a 2-dimensional thermodynamic metric in the space of equilibrium states, which becomes singular at those points. According to the analysis of the heat capacities, these points are the places where phase transitions occur. This result is valid for the black hole, therefore, provides a geometrothermodynamics description of black hole phase transitions in terms of curvature singularities. |
| format | Article |
| id | doaj-art-72b7ca6121d543e184e846f06a9236da |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-72b7ca6121d543e184e846f06a9236da2025-02-03T06:12:12ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/865354865354Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black HoleYiwen Han0XiaoXiong Zeng1College of Computer Science, Chongqing Technology and Business University, Chongqing 400067, ChinaSchool of Science, Chongqing Jiaotong University, Chongqing 400074, ChinaWe first review Weinhold information geometry and Ruppeiner information geometry of 3D charged-dilaton black hole. Then, we use the Legendre invariant to introduce a 2-dimensional thermodynamic metric in the space of equilibrium states, which becomes singular at those points. According to the analysis of the heat capacities, these points are the places where phase transitions occur. This result is valid for the black hole, therefore, provides a geometrothermodynamics description of black hole phase transitions in terms of curvature singularities.http://dx.doi.org/10.1155/2013/865354 |
| spellingShingle | Yiwen Han XiaoXiong Zeng Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole Advances in High Energy Physics |
| title | Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole |
| title_full | Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole |
| title_fullStr | Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole |
| title_full_unstemmed | Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole |
| title_short | Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole |
| title_sort | legendre invariance and geometrothermodynamics description of the 3d charged dilaton black hole |
| url | http://dx.doi.org/10.1155/2013/865354 |
| work_keys_str_mv | AT yiwenhan legendreinvarianceandgeometrothermodynamicsdescriptionofthe3dchargeddilatonblackhole AT xiaoxiongzeng legendreinvarianceandgeometrothermodynamicsdescriptionofthe3dchargeddilatonblackhole |