Thermogeometric phase transition in a unified framework
Using geomterothermodynamics (GTD), we investigate the phase transition of black hole in a metric independent way. We show that for any black hole, curvature scalar (of equilibrium state space geometry) is singular at the point where specific heat diverges. Previously such a result could only be sho...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-04-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317300588 |
| _version_ | 1811314205436936192 |
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| author | Rabin Banerjee Bibhas Ranjan Majhi Saurav Samanta |
| author_facet | Rabin Banerjee Bibhas Ranjan Majhi Saurav Samanta |
| author_sort | Rabin Banerjee |
| collection | DOAJ |
| description | Using geomterothermodynamics (GTD), we investigate the phase transition of black hole in a metric independent way. We show that for any black hole, curvature scalar (of equilibrium state space geometry) is singular at the point where specific heat diverges. Previously such a result could only be shown by taking specific examples on a case by case basis. A different type of phase transition, where inverse specific heat diverges, is also studied within this framework. We show that in the latter case, metric (of equilibrium state space geometry) is singular instead of curvature scalar. Since a metric singularity may be a coordinate artifact, we propose that GTD indicates that it is the singularity of specific heat and not inverse specific heat which indicates a phase transition of black holes. |
| first_indexed | 2024-04-13T11:09:02Z |
| format | Article |
| id | doaj.art-85aa4b52be4941bf914246672ac00cd2 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-04-13T11:09:02Z |
| publishDate | 2017-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-85aa4b52be4941bf914246672ac00cd22022-12-22T02:49:12ZengElsevierPhysics Letters B0370-26931873-24452017-04-01767C252810.1016/j.physletb.2017.01.040Thermogeometric phase transition in a unified frameworkRabin Banerjee0Bibhas Ranjan Majhi1Saurav Samanta2S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700098, IndiaDepartment of Physics, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, IndiaDepartment of Physics, Narasinha Dutt College, 129, Belilious Road, Howrah 711101, IndiaUsing geomterothermodynamics (GTD), we investigate the phase transition of black hole in a metric independent way. We show that for any black hole, curvature scalar (of equilibrium state space geometry) is singular at the point where specific heat diverges. Previously such a result could only be shown by taking specific examples on a case by case basis. A different type of phase transition, where inverse specific heat diverges, is also studied within this framework. We show that in the latter case, metric (of equilibrium state space geometry) is singular instead of curvature scalar. Since a metric singularity may be a coordinate artifact, we propose that GTD indicates that it is the singularity of specific heat and not inverse specific heat which indicates a phase transition of black holes.http://www.sciencedirect.com/science/article/pii/S0370269317300588 |
| spellingShingle | Rabin Banerjee Bibhas Ranjan Majhi Saurav Samanta Thermogeometric phase transition in a unified framework Physics Letters B |
| title | Thermogeometric phase transition in a unified framework |
| title_full | Thermogeometric phase transition in a unified framework |
| title_fullStr | Thermogeometric phase transition in a unified framework |
| title_full_unstemmed | Thermogeometric phase transition in a unified framework |
| title_short | Thermogeometric phase transition in a unified framework |
| title_sort | thermogeometric phase transition in a unified framework |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317300588 |
| work_keys_str_mv | AT rabinbanerjee thermogeometricphasetransitioninaunifiedframework AT bibhasranjanmajhi thermogeometricphasetransitioninaunifiedframework AT sauravsamanta thermogeometricphasetransitioninaunifiedframework |