Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime
In recent works by Wu and Wang a class of explicit symplectic integrators in curved spacetimes was presented. Different splitting forms or appropriate choices of time-transformed Hamiltonians are determined based on specific Hamiltonian problems. As its application, we constructed a suitable explici...
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| Format: | Article |
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MDPI AG
2023-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/5/1094 |
| _version_ | 1797598229411397632 |
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| author | Ai-Rong Hu Guo-Qing Huang |
| author_facet | Ai-Rong Hu Guo-Qing Huang |
| author_sort | Ai-Rong Hu |
| collection | DOAJ |
| description | In recent works by Wu and Wang a class of explicit symplectic integrators in curved spacetimes was presented. Different splitting forms or appropriate choices of time-transformed Hamiltonians are determined based on specific Hamiltonian problems. As its application, we constructed a suitable explicit symplectic integrator for surveying the dynamics of test particles in a magnetized Reissner–Nordström spacetime. In addition to computational efficiency, the scheme exhibits good stability and high precision for long-term integration. From the global phase-space structure of Poincaré sections, the extent of chaos can be strengthened when energy <i>E</i>, magnetic parameter <i>B</i>, or the charge <i>q</i> become larger. On the contrary, the occurrence of chaoticity is weakened with an increase of electric parameter <i>Q</i> and angular momentum <i>L</i>. The conclusion can also be supported by fast Lyapunov indicators. |
| first_indexed | 2024-03-11T03:16:23Z |
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| id | doaj.art-6f3f2318ffef40839368ff69f7870ce7 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T03:16:23Z |
| publishDate | 2023-05-01 |
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| series | Symmetry |
| spelling | doaj.art-6f3f2318ffef40839368ff69f7870ce72023-11-18T03:30:51ZengMDPI AGSymmetry2073-89942023-05-01155109410.3390/sym15051094Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström SpacetimeAi-Rong Hu0Guo-Qing Huang1School of Physics and Materials, Nanchang University, Nanchang 330031, ChinaSchool of Physics and Materials, Nanchang University, Nanchang 330031, ChinaIn recent works by Wu and Wang a class of explicit symplectic integrators in curved spacetimes was presented. Different splitting forms or appropriate choices of time-transformed Hamiltonians are determined based on specific Hamiltonian problems. As its application, we constructed a suitable explicit symplectic integrator for surveying the dynamics of test particles in a magnetized Reissner–Nordström spacetime. In addition to computational efficiency, the scheme exhibits good stability and high precision for long-term integration. From the global phase-space structure of Poincaré sections, the extent of chaos can be strengthened when energy <i>E</i>, magnetic parameter <i>B</i>, or the charge <i>q</i> become larger. On the contrary, the occurrence of chaoticity is weakened with an increase of electric parameter <i>Q</i> and angular momentum <i>L</i>. The conclusion can also be supported by fast Lyapunov indicators.https://www.mdpi.com/2073-8994/15/5/1094black holestime-transformed Hamiltoniansymplectic integratorchaos |
| spellingShingle | Ai-Rong Hu Guo-Qing Huang Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime Symmetry black holes time-transformed Hamiltonian symplectic integrator chaos |
| title | Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime |
| title_full | Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime |
| title_fullStr | Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime |
| title_full_unstemmed | Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime |
| title_short | Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime |
| title_sort | application of explicit symplectic integrators in the magnetized reissner nordstrom spacetime |
| topic | black holes time-transformed Hamiltonian symplectic integrator chaos |
| url | https://www.mdpi.com/2073-8994/15/5/1094 |
| work_keys_str_mv | AT aironghu applicationofexplicitsymplecticintegratorsinthemagnetizedreissnernordstromspacetime AT guoqinghuang applicationofexplicitsymplecticintegratorsinthemagnetizedreissnernordstromspacetime |