Transit time of black holes on generalized free energy landscape
Abstract Recently, the thermodynamics and kinetics of black hole phase transitions have garnered attention, particularly with the black hole radius being utilized as an order parameter within a generalized free energy landscape. In this framework, the local minima and maxima of the free energy corre...
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)080 |
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| author | Tianqi Yue Jin Wang |
| author_facet | Tianqi Yue Jin Wang |
| author_sort | Tianqi Yue |
| collection | DOAJ |
| description | Abstract Recently, the thermodynamics and kinetics of black hole phase transitions have garnered attention, particularly with the black hole radius being utilized as an order parameter within a generalized free energy landscape. In this framework, the local minima and maxima of the free energy correspond to stable and unstable states, respectively, while other states on the free energy landscape represent fluctuating black holes. Thermal fluctuations enable transitions between these stable states, and this stochastic kinetic behavior can be effectively described by the probabilistic Fokker-Planck equation. The transit time, defined as the time required for transitions or jumps between states, is a crucial physical quantity in phase transition kinetics, as it helps characterize the switching dynamics. By employing a harmonic transition state approximation, we examine the Hawking-Page phase transition and the Reissner-Nordström-Anti-de Sitter (RNAdS) black hole phase transition within the context of the generalized free energy landscape. We analytically quantify the transit time and its probability distribution for actual transition events, revealing the relationship between the mean transit time and the prefactor of the classical mean first passage time (MFPT). As the mean transit time decreases, the probability distribution narrows, indicating reduced fluctuations in transit time. These phenomena are connected to the topological structure of the generalized free energy landscape, the curvature of the free energy in both stable and unstable states, and the height of the energy barrier. We conclude that, for black hole phase transitions, the transit time serves as a characteristic timescale that reflects the actual jump time between states or to a transition state. Moreover, its relationship with the prefactor allows for a more precise quantification of the MFPT. |
| format | Article |
| id | doaj-art-ca7d4e1f41ca492e829274a0b7dbdcb6 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-ca7d4e1f41ca492e829274a0b7dbdcb62025-08-20T04:01:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025613910.1007/JHEP06(2025)080Transit time of black holes on generalized free energy landscapeTianqi Yue0Jin Wang1College of Physics, Jilin UniversityDepartment of Chemistry, and Department of Physics and AstronomyAbstract Recently, the thermodynamics and kinetics of black hole phase transitions have garnered attention, particularly with the black hole radius being utilized as an order parameter within a generalized free energy landscape. In this framework, the local minima and maxima of the free energy correspond to stable and unstable states, respectively, while other states on the free energy landscape represent fluctuating black holes. Thermal fluctuations enable transitions between these stable states, and this stochastic kinetic behavior can be effectively described by the probabilistic Fokker-Planck equation. The transit time, defined as the time required for transitions or jumps between states, is a crucial physical quantity in phase transition kinetics, as it helps characterize the switching dynamics. By employing a harmonic transition state approximation, we examine the Hawking-Page phase transition and the Reissner-Nordström-Anti-de Sitter (RNAdS) black hole phase transition within the context of the generalized free energy landscape. We analytically quantify the transit time and its probability distribution for actual transition events, revealing the relationship between the mean transit time and the prefactor of the classical mean first passage time (MFPT). As the mean transit time decreases, the probability distribution narrows, indicating reduced fluctuations in transit time. These phenomena are connected to the topological structure of the generalized free energy landscape, the curvature of the free energy in both stable and unstable states, and the height of the energy barrier. We conclude that, for black hole phase transitions, the transit time serves as a characteristic timescale that reflects the actual jump time between states or to a transition state. Moreover, its relationship with the prefactor allows for a more precise quantification of the MFPT.https://doi.org/10.1007/JHEP06(2025)080Black HolesRandom Systems |
| spellingShingle | Tianqi Yue Jin Wang Transit time of black holes on generalized free energy landscape Journal of High Energy Physics Black Holes Random Systems |
| title | Transit time of black holes on generalized free energy landscape |
| title_full | Transit time of black holes on generalized free energy landscape |
| title_fullStr | Transit time of black holes on generalized free energy landscape |
| title_full_unstemmed | Transit time of black holes on generalized free energy landscape |
| title_short | Transit time of black holes on generalized free energy landscape |
| title_sort | transit time of black holes on generalized free energy landscape |
| topic | Black Holes Random Systems |
| url | https://doi.org/10.1007/JHEP06(2025)080 |
| work_keys_str_mv | AT tianqiyue transittimeofblackholesongeneralizedfreeenergylandscape AT jinwang transittimeofblackholesongeneralizedfreeenergylandscape |