Interplay of Lyapunov exponents, phase transitions and chaos bound in nonlinear electrodynamics black hole
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915686027100160 |
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| author | Gao, Chuanhong Yang, Chuang Chong, Tetvui Chen, Deyou |
| author_facet | Gao, Chuanhong Yang, Chuang Chong, Tetvui Chen, Deyou |
| contents | In this paper, we investigate Lyapunov exponents of chaos for both massless and charged particles around a non-linear electrodynamics black hole, and explore their relationships with a phase transition and a chaos bound of this black hole. Our results indicate that these exponents can effectively reveal the phase transition. Specifically, during the phase transition, the violation of the chaos bound occurs solely within a stable branch of a small black hole. Moreover, regardless of whether the phase transition takes place, the violations are observed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17242 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interplay of Lyapunov exponents, phase transitions and chaos bound in nonlinear electrodynamics black hole Gao, Chuanhong Yang, Chuang Chong, Tetvui Chen, Deyou General Relativity and Quantum Cosmology In this paper, we investigate Lyapunov exponents of chaos for both massless and charged particles around a non-linear electrodynamics black hole, and explore their relationships with a phase transition and a chaos bound of this black hole. Our results indicate that these exponents can effectively reveal the phase transition. Specifically, during the phase transition, the violation of the chaos bound occurs solely within a stable branch of a small black hole. Moreover, regardless of whether the phase transition takes place, the violations are observed. |
| title | Interplay of Lyapunov exponents, phase transitions and chaos bound in nonlinear electrodynamics black hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.17242 |