Chaotic dynamics of string around charged black brane with hyperscaling violation
Abstract By fast Lyapunov indicator (FLI), we study the chaotic dynamics of closed string around charged black brane with hyperscaling violation (HV). The Hawking temperature, Lifshitz dynamical exponent and HV exponent together affect the chaotic dynamics of this system. The temperature plays the r...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)103 |
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| author | Da-Zhu Ma Dan Zhang Guoyang Fu Jian-Pin Wu |
| author_facet | Da-Zhu Ma Dan Zhang Guoyang Fu Jian-Pin Wu |
| author_sort | Da-Zhu Ma |
| collection | DOAJ |
| description | Abstract By fast Lyapunov indicator (FLI), we study the chaotic dynamics of closed string around charged black brane with hyperscaling violation (HV). The Hawking temperature, Lifshitz dynamical exponent and HV exponent together affect the chaotic dynamics of this system. The temperature plays the role of driving the closed string to escape to infinity. There is a threshold value z∗ = 2, below which the string is captured by the black brane no matter where the string is placed at the beginning. However, when z > 2, the string escapes to infinity if it is placed near the black brane at the beginning, but if the initial position of string is far away from the black brane, it oscillates around the black brane till eternity, which is a quasi-periodic motion. HV exponent plays the role of driving the string falling into the black brane. With the increase of HV exponent θ, the falling velocity becomes faster. We find that when we heat the system with large HV exponent, the chaotic system does not essentially changes. It indicates that the HV exponent plays a very important role in determining the state of the chaotic system. Also we study the effect from the winding number of the string. The study indicates that the chaotic dynamics of the string is insensitive to the winding number. |
| format | Article |
| id | doaj-art-321b45ce75174436a83bd62d3d412a42 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-321b45ce75174436a83bd62d3d412a422025-02-09T12:06:28ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112110.1007/JHEP01(2020)103Chaotic dynamics of string around charged black brane with hyperscaling violationDa-Zhu Ma0Dan Zhang1Guoyang Fu2Jian-Pin Wu3School of Information and Engineering, Hubei Minzu UniversityDepartment of Physics, School of Mathematics and Physics, Bohai UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract By fast Lyapunov indicator (FLI), we study the chaotic dynamics of closed string around charged black brane with hyperscaling violation (HV). The Hawking temperature, Lifshitz dynamical exponent and HV exponent together affect the chaotic dynamics of this system. The temperature plays the role of driving the closed string to escape to infinity. There is a threshold value z∗ = 2, below which the string is captured by the black brane no matter where the string is placed at the beginning. However, when z > 2, the string escapes to infinity if it is placed near the black brane at the beginning, but if the initial position of string is far away from the black brane, it oscillates around the black brane till eternity, which is a quasi-periodic motion. HV exponent plays the role of driving the string falling into the black brane. With the increase of HV exponent θ, the falling velocity becomes faster. We find that when we heat the system with large HV exponent, the chaotic system does not essentially changes. It indicates that the HV exponent plays a very important role in determining the state of the chaotic system. Also we study the effect from the winding number of the string. The study indicates that the chaotic dynamics of the string is insensitive to the winding number.https://doi.org/10.1007/JHEP01(2020)103Black HolesAdS-CFT Correspondence |
| spellingShingle | Da-Zhu Ma Dan Zhang Guoyang Fu Jian-Pin Wu Chaotic dynamics of string around charged black brane with hyperscaling violation Journal of High Energy Physics Black Holes AdS-CFT Correspondence |
| title | Chaotic dynamics of string around charged black brane with hyperscaling violation |
| title_full | Chaotic dynamics of string around charged black brane with hyperscaling violation |
| title_fullStr | Chaotic dynamics of string around charged black brane with hyperscaling violation |
| title_full_unstemmed | Chaotic dynamics of string around charged black brane with hyperscaling violation |
| title_short | Chaotic dynamics of string around charged black brane with hyperscaling violation |
| title_sort | chaotic dynamics of string around charged black brane with hyperscaling violation |
| topic | Black Holes AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2020)103 |
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