Chaotic behaviour of charged particles in electromagnetic fields

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dc.contributor.advisorSkokos, Haris
dc.contributor.authorAni, Chinenye Jane
dc.date.accessioned2019-05-10T12:15:08Z
dc.date.available2019-05-10T12:15:08Z
dc.date.issued2018
dc.date.updated2019-05-06T12:40:13Z
dc.description.abstractIn 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.
dc.identifier.apacitationAni, C. J. (2018). <i>Chaotic behaviour of charged particles in electromagnetic fields</i>. (). ,Faculty of Science ,Department of Maths & Applied Maths. Retrieved from http://hdl.handle.net/11427/30058en_ZA
dc.identifier.chicagocitationAni, Chinenye Jane. <i>"Chaotic behaviour of charged particles in electromagnetic fields."</i> ., ,Faculty of Science ,Department of Maths & Applied Maths, 2018. http://hdl.handle.net/11427/30058en_ZA
dc.identifier.citationAni, C.J. 2018. Chaotic behaviour of charged particles in electromagnetic fields. . ,Faculty of Science ,Department of Maths & Applied Maths. http://hdl.handle.net/11427/30058en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Ani, Chinenye Jane AB - 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. DA - 2018 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PY - 2018 T1 - Chaotic behaviour of charged particles in electromagnetic fields TI - Chaotic behaviour of charged particles in electromagnetic fields UR - http://hdl.handle.net/11427/30058 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/30058
dc.identifier.vancouvercitationAni CJ. Chaotic behaviour of charged particles in electromagnetic fields. []. ,Faculty of Science ,Department of Maths & Applied Maths, 2018 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/30058en_ZA
dc.language.rfc3066eng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.titleChaotic behaviour of charged particles in electromagnetic fields
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMSc
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