Chaos in the near-horizon dynamics of the dyonic $\rm{AdS_4}$-Reissner-Nordström black hole
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908799139315712 |
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| author | Wang, Mu-Yang Li, Si-Wen Hou, Defu Yan, Dong Zhao, Yan-Qing |
| author_facet | Wang, Mu-Yang Li, Si-Wen Hou, Defu Yan, Dong Zhao, Yan-Qing |
| contents | We investigate the chaos in the dynamics of a probe massless particle confined by the harmonic potential near the horizon of the dyonic $\rm{AdS_4}$-Reissner-Nordström black hole. The total energy of the particle, chemical potential and magnetic field in this system serving as independently adjustable parameters tune nonlinearity and phase-space structure. By analyzing the trajectories on the Poincaré section and evaluating the Lyapunov exponents, we obtain the dynamical phase diagrams of the chaos and find their counteracting regulatory role: at low energy, chaos is enhanced and the Lyapunov exponent $λ_L$ violates its upper bound (i.e. surface gravity) in the extremal black hole limit(combined paramete $Γ=3$); at high energy, the same extremal limit suppresses chaos, with $λ_L$ dropping to zero and a regular dynamical corridor emerging along $Γ=3$ in the dynamical phase diagrams. These results establish a direct mapping between black hole thermodynamics and microscopic chaos, offering new insights into the AdS/QCD correspondence and nonlinear dynamics in strongly curved spacetimes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_22549 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Chaos in the near-horizon dynamics of the dyonic $\rm{AdS_4}$-Reissner-Nordström black hole Wang, Mu-Yang Li, Si-Wen Hou, Defu Yan, Dong Zhao, Yan-Qing High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We investigate the chaos in the dynamics of a probe massless particle confined by the harmonic potential near the horizon of the dyonic $\rm{AdS_4}$-Reissner-Nordström black hole. The total energy of the particle, chemical potential and magnetic field in this system serving as independently adjustable parameters tune nonlinearity and phase-space structure. By analyzing the trajectories on the Poincaré section and evaluating the Lyapunov exponents, we obtain the dynamical phase diagrams of the chaos and find their counteracting regulatory role: at low energy, chaos is enhanced and the Lyapunov exponent $λ_L$ violates its upper bound (i.e. surface gravity) in the extremal black hole limit(combined paramete $Γ=3$); at high energy, the same extremal limit suppresses chaos, with $λ_L$ dropping to zero and a regular dynamical corridor emerging along $Γ=3$ in the dynamical phase diagrams. These results establish a direct mapping between black hole thermodynamics and microscopic chaos, offering new insights into the AdS/QCD correspondence and nonlinear dynamics in strongly curved spacetimes. |
| title | Chaos in the near-horizon dynamics of the dyonic $\rm{AdS_4}$-Reissner-Nordström black hole |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.22549 |