Thermodynamics of Acoustic Black Holes in Two Dimensions
It is well-known that the thermal Hawking-like radiation can be emitted from the acoustic horizon, but the thermodynamic-like understanding for acoustic black holes was rarely made. In this paper, we will show that the kinematic connection can lead to the dynamic connection at the horizon between th...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/5710625 |
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| author | Baocheng Zhang |
| author_facet | Baocheng Zhang |
| author_sort | Baocheng Zhang |
| collection | DOAJ |
| description | It is well-known that the thermal Hawking-like radiation can be emitted from the acoustic horizon, but the thermodynamic-like understanding for acoustic black holes was rarely made. In this paper, we will show that the kinematic connection can lead to the dynamic connection at the horizon between the fluid and gravitational models in two dimensions, which implies that there exists the thermodynamic-like description for acoustic black holes. Then, we discuss the first law of thermodynamics for the acoustic black hole via an intriguing connection between the gravitational-like dynamics of the acoustic horizon and thermodynamics. We obtain a universal form for the entropy of acoustic black holes, which has an interpretation similar to the entropic gravity. We also discuss the specific heat and find that the derivative of the velocity of background fluid can be regarded as a novel acoustic analogue of the two-dimensional dilaton potential, which interprets why the two-dimensional fluid dynamics can be connected to the gravitational dynamics but it is difficult for four-dimensional case. In particular, when a constraint is added for the fluid, the analogue of a Schwarzschild black hole can be realized. |
| format | Article |
| id | doaj-art-5909021b2461411585063e02353bdc01 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-5909021b2461411585063e02353bdc012025-02-03T01:22:29ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/57106255710625Thermodynamics of Acoustic Black Holes in Two DimensionsBaocheng Zhang0School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaIt is well-known that the thermal Hawking-like radiation can be emitted from the acoustic horizon, but the thermodynamic-like understanding for acoustic black holes was rarely made. In this paper, we will show that the kinematic connection can lead to the dynamic connection at the horizon between the fluid and gravitational models in two dimensions, which implies that there exists the thermodynamic-like description for acoustic black holes. Then, we discuss the first law of thermodynamics for the acoustic black hole via an intriguing connection between the gravitational-like dynamics of the acoustic horizon and thermodynamics. We obtain a universal form for the entropy of acoustic black holes, which has an interpretation similar to the entropic gravity. We also discuss the specific heat and find that the derivative of the velocity of background fluid can be regarded as a novel acoustic analogue of the two-dimensional dilaton potential, which interprets why the two-dimensional fluid dynamics can be connected to the gravitational dynamics but it is difficult for four-dimensional case. In particular, when a constraint is added for the fluid, the analogue of a Schwarzschild black hole can be realized.http://dx.doi.org/10.1155/2016/5710625 |
| spellingShingle | Baocheng Zhang Thermodynamics of Acoustic Black Holes in Two Dimensions Advances in High Energy Physics |
| title | Thermodynamics of Acoustic Black Holes in Two Dimensions |
| title_full | Thermodynamics of Acoustic Black Holes in Two Dimensions |
| title_fullStr | Thermodynamics of Acoustic Black Holes in Two Dimensions |
| title_full_unstemmed | Thermodynamics of Acoustic Black Holes in Two Dimensions |
| title_short | Thermodynamics of Acoustic Black Holes in Two Dimensions |
| title_sort | thermodynamics of acoustic black holes in two dimensions |
| url | http://dx.doi.org/10.1155/2016/5710625 |
| work_keys_str_mv | AT baochengzhang thermodynamicsofacousticblackholesintwodimensions |