Extrinsic and intrinsic curvatures in thermodynamic geometry
We investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodynamic geometry of a physical system and show that they contain useful thermodynamic information. For an anti-Reissner–Nordström-(A)de Sitter black hole (Phantom), the extrinsic curvature of a constant Q hypers...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316302519 |
| _version_ | 1819267311889022976 |
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| author | Seyed Ali Hosseini Mansoori Behrouz Mirza Elham Sharifian |
| author_facet | Seyed Ali Hosseini Mansoori Behrouz Mirza Elham Sharifian |
| author_sort | Seyed Ali Hosseini Mansoori |
| collection | DOAJ |
| description | We investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodynamic geometry of a physical system and show that they contain useful thermodynamic information. For an anti-Reissner–Nordström-(A)de Sitter black hole (Phantom), the extrinsic curvature of a constant Q hypersurface has the same sign as the heat capacity around the phase transition points. The intrinsic curvature of the hypersurface can also be divergent at the critical points but has no information about the sign of the heat capacity. Our study explains the consistent relationship holding between the thermodynamic geometry of the KN-AdS black holes and those of the RN (J-zero hypersurface) and Kerr black holes (Q-zero hypersurface) ones [1]. This approach can easily be generalized to an arbitrary thermodynamic system. |
| first_indexed | 2024-12-23T21:15:10Z |
| format | Article |
| id | doaj.art-8a662f7e4b064468a58abc0ddc0c9cfa |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-23T21:15:10Z |
| publishDate | 2016-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-8a662f7e4b064468a58abc0ddc0c9cfa2022-12-21T17:30:56ZengElsevierPhysics Letters B0370-26931873-24452016-08-01759C29830510.1016/j.physletb.2016.05.096Extrinsic and intrinsic curvatures in thermodynamic geometrySeyed Ali Hosseini Mansoori0Behrouz Mirza1Elham Sharifian2Department of Physics, Boston University, 590 Commonwealth Ave., Boston, MA 02215, USADepartment of Physics, Isfahan University of Technology, Isfahan 84156-83111, IranDepartment of Physics, Isfahan University of Technology, Isfahan 84156-83111, IranWe investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodynamic geometry of a physical system and show that they contain useful thermodynamic information. For an anti-Reissner–Nordström-(A)de Sitter black hole (Phantom), the extrinsic curvature of a constant Q hypersurface has the same sign as the heat capacity around the phase transition points. The intrinsic curvature of the hypersurface can also be divergent at the critical points but has no information about the sign of the heat capacity. Our study explains the consistent relationship holding between the thermodynamic geometry of the KN-AdS black holes and those of the RN (J-zero hypersurface) and Kerr black holes (Q-zero hypersurface) ones [1]. This approach can easily be generalized to an arbitrary thermodynamic system.http://www.sciencedirect.com/science/article/pii/S0370269316302519 |
| spellingShingle | Seyed Ali Hosseini Mansoori Behrouz Mirza Elham Sharifian Extrinsic and intrinsic curvatures in thermodynamic geometry Physics Letters B |
| title | Extrinsic and intrinsic curvatures in thermodynamic geometry |
| title_full | Extrinsic and intrinsic curvatures in thermodynamic geometry |
| title_fullStr | Extrinsic and intrinsic curvatures in thermodynamic geometry |
| title_full_unstemmed | Extrinsic and intrinsic curvatures in thermodynamic geometry |
| title_short | Extrinsic and intrinsic curvatures in thermodynamic geometry |
| title_sort | extrinsic and intrinsic curvatures in thermodynamic geometry |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316302519 |
| work_keys_str_mv | AT seyedalihosseinimansoori extrinsicandintrinsiccurvaturesinthermodynamicgeometry AT behrouzmirza extrinsicandintrinsiccurvaturesinthermodynamicgeometry AT elhamsharifian extrinsicandintrinsiccurvaturesinthermodynamicgeometry |