The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases
In this study, we obtain specific picture of the phase transitions for the 6-dimensional Gauss-Bonnet Anti-de Sitter (AdS) black hole with triple phases, using the generalized free energy we constructed and Kramers escape rate in stochastic motion. There are six possible phase transition processes b...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000425 |
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| author | Chen Ma Pan-Pan Zhang Bin Wu Zhen-Ming Xu |
| author_facet | Chen Ma Pan-Pan Zhang Bin Wu Zhen-Ming Xu |
| author_sort | Chen Ma |
| collection | DOAJ |
| description | In this study, we obtain specific picture of the phase transitions for the 6-dimensional Gauss-Bonnet Anti-de Sitter (AdS) black hole with triple phases, using the generalized free energy we constructed and Kramers escape rate in stochastic motion. There are six possible phase transition processes between the three different stable states (small, medium, and large black hole states). During these phase transitions, there are two key temperatures. One is the temperature at which the medium black hole state emerges, and the other is the temperature at which the small black hole state annihilates. Meanwhile, two dynamic equilibrium processes are formed. One is a dynamic equilibrium of the transition from the medium black hole state to the large black hole state and the transition from the small black hole state to the medium black hole state. The other is a dynamic equilibrium of the transition from the small black hole state to the medium black hole state and the transition from the medium black hole state to the small black hole state. |
| format | Article |
| id | doaj-art-187d3408f250419f8f21802c3bf43bc0 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-187d3408f250419f8f21802c3bf43bc02025-02-10T04:34:08ZengElsevierPhysics Letters B0370-26932025-02-01861139282The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phasesChen Ma0Pan-Pan Zhang1Bin Wu2Zhen-Ming Xu3School of Physics, Northwest University, Xi'an 710127, ChinaSchool of Physics, Northwest University, Xi'an 710127, ChinaSchool of Physics, Northwest University, Xi'an 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China; Peng Huanwu Center for Fundamental Theory, Xi'an 710127, ChinaSchool of Physics, Northwest University, Xi'an 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China; Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China; Corresponding author.In this study, we obtain specific picture of the phase transitions for the 6-dimensional Gauss-Bonnet Anti-de Sitter (AdS) black hole with triple phases, using the generalized free energy we constructed and Kramers escape rate in stochastic motion. There are six possible phase transition processes between the three different stable states (small, medium, and large black hole states). During these phase transitions, there are two key temperatures. One is the temperature at which the medium black hole state emerges, and the other is the temperature at which the small black hole state annihilates. Meanwhile, two dynamic equilibrium processes are formed. One is a dynamic equilibrium of the transition from the medium black hole state to the large black hole state and the transition from the small black hole state to the medium black hole state. The other is a dynamic equilibrium of the transition from the small black hole state to the medium black hole state and the transition from the medium black hole state to the small black hole state.http://www.sciencedirect.com/science/article/pii/S0370269325000425 |
| spellingShingle | Chen Ma Pan-Pan Zhang Bin Wu Zhen-Ming Xu The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases Physics Letters B |
| title | The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases |
| title_full | The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases |
| title_fullStr | The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases |
| title_full_unstemmed | The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases |
| title_short | The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases |
| title_sort | kramers escape rate of phase transitions for the 6 dimensional gauss bonnet ads black hole with triple phases |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000425 |
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