The geometry of RN-AdS fluids
We establish the parameter space geometry of a fluid system characterized by two constants, whose equation of state mimics that of the RN-AdS black hole. We call this the RN-AdS fluid. We study the scalar curvature on the parameter space of this system, and show its equivalence with the RN-AdS black...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-06-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320302203 |
| _version_ | 1819024086842474496 |
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| author | Joy Das Bairagya Kunal Pal Kuntal Pal Tapobrata Sarkar |
| author_facet | Joy Das Bairagya Kunal Pal Kuntal Pal Tapobrata Sarkar |
| author_sort | Joy Das Bairagya |
| collection | DOAJ |
| description | We establish the parameter space geometry of a fluid system characterized by two constants, whose equation of state mimics that of the RN-AdS black hole. We call this the RN-AdS fluid. We study the scalar curvature on the parameter space of this system, and show its equivalence with the RN-AdS black hole, in the limit of vanishing specific heat at constant volume. Further, an analytical construction of the Widom line is established. We also numerically study the behavior of geodesics on the parameter space of the fluid, and find a geometric scaling relation near its second order critical point. |
| first_indexed | 2024-12-21T04:49:12Z |
| format | Article |
| id | doaj.art-17ba138a1431483cb0f4828a09194f78 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T04:49:12Z |
| publishDate | 2020-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-17ba138a1431483cb0f4828a09194f782022-12-21T19:15:28ZengElsevierPhysics Letters B0370-26932020-06-01805The geometry of RN-AdS fluidsJoy Das Bairagya0Kunal Pal1Kuntal Pal2Tapobrata Sarkar3Department of Physics, Indian Institute of Technology, Kanpur 208016, IndiaDepartment of Physics, Indian Institute of Technology, Kanpur 208016, IndiaDepartment of Physics, Indian Institute of Technology, Kanpur 208016, IndiaCorresponding author.; Department of Physics, Indian Institute of Technology, Kanpur 208016, IndiaWe establish the parameter space geometry of a fluid system characterized by two constants, whose equation of state mimics that of the RN-AdS black hole. We call this the RN-AdS fluid. We study the scalar curvature on the parameter space of this system, and show its equivalence with the RN-AdS black hole, in the limit of vanishing specific heat at constant volume. Further, an analytical construction of the Widom line is established. We also numerically study the behavior of geodesics on the parameter space of the fluid, and find a geometric scaling relation near its second order critical point.http://www.sciencedirect.com/science/article/pii/S0370269320302203 |
| spellingShingle | Joy Das Bairagya Kunal Pal Kuntal Pal Tapobrata Sarkar The geometry of RN-AdS fluids Physics Letters B |
| title | The geometry of RN-AdS fluids |
| title_full | The geometry of RN-AdS fluids |
| title_fullStr | The geometry of RN-AdS fluids |
| title_full_unstemmed | The geometry of RN-AdS fluids |
| title_short | The geometry of RN-AdS fluids |
| title_sort | geometry of rn ads fluids |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320302203 |
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