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Chaotic behaviour of charged particles in electromagnetic fields
In order to understand the motion of charged particles we numerically investigate the chaoticity of magnetic field lines of tokamak fields, as charged particles move along field lines. In particular, the symmetric tokamap was studied to determine the physical quantities that influence the system’s c...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2019
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| _version_ | 1867614448581083136 |
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| access_status_str | Open Access |
| author | Ani, Chinenye Jane |
| author2 | Skokos, Haris |
| author_browse | Ani, Chinenye Jane Skokos, Haris |
| author_facet | Skokos, Haris Ani, Chinenye Jane |
| author_sort | Ani, Chinenye Jane |
| collection | Thesis |
| description | In order to understand the motion of charged particles we numerically investigate the chaoticity of magnetic field lines of tokamak fields, as charged particles move along field lines. In particular, the symmetric tokamap was studied to determine the physical quantities that influence the system’s chaotic behaviour. We implement several chaos detection techniques: the construction of Poincaré maps, the computation of the maximum Lyapunouv characteristic exponent (mLCE), as well as the Smaller Alignment Index (SALI). The analyses performed showed that the mLCE and SALI methods accurately quantified magnetic field lines’ chaotic behaviour and that the relative perturbation strength influences the system’s chaoticity. In addition, we illustrate the diffusive properties of magnetic field lines, using statistical measures like the mean square displacement (MSD) and calculating diffusion coefficients. Lastly, we present the construction of explicit near-symplectic mappings of the symmetric tokamap with Lie-generating functions. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/30058 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:52:12.561Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/30058 Chaotic behaviour of charged particles in electromagnetic fields Ani, Chinenye Jane Skokos, Haris In order to understand the motion of charged particles we numerically investigate the chaoticity of magnetic field lines of tokamak fields, as charged particles move along field lines. In particular, the symmetric tokamap was studied to determine the physical quantities that influence the system’s chaotic behaviour. We implement several chaos detection techniques: the construction of Poincaré maps, the computation of the maximum Lyapunouv characteristic exponent (mLCE), as well as the Smaller Alignment Index (SALI). The analyses performed showed that the mLCE and SALI methods accurately quantified magnetic field lines’ chaotic behaviour and that the relative perturbation strength influences the system’s chaoticity. In addition, we illustrate the diffusive properties of magnetic field lines, using statistical measures like the mean square displacement (MSD) and calculating diffusion coefficients. Lastly, we present the construction of explicit near-symplectic mappings of the symmetric tokamap with Lie-generating functions. 2019-05-10T12:15:08Z 2019-05-10T12:15:08Z 2018 2019-05-06T12:40:13Z Master Thesis Masters MSc http://hdl.handle.net/11427/30058 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | Ani, Chinenye Jane Chaotic behaviour of charged particles in electromagnetic fields |
| thesis_degree_str | Master's |
| title | Chaotic behaviour of charged particles in electromagnetic fields |
| title_full | Chaotic behaviour of charged particles in electromagnetic fields |
| title_fullStr | Chaotic behaviour of charged particles in electromagnetic fields |
| title_full_unstemmed | Chaotic behaviour of charged particles in electromagnetic fields |
| title_short | Chaotic behaviour of charged particles in electromagnetic fields |
| title_sort | chaotic behaviour of charged particles in electromagnetic fields |
| url | http://hdl.handle.net/11427/30058 |
| work_keys_str_mv | AT anichinenyejane chaoticbehaviourofchargedparticlesinelectromagneticfields |