Enhancing learning of the Grad-Shafranov equation through scientific literature: Part 3 of a physics education series

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dc.contributor.authorOjeda González, Arian
dc.contributor.authorOliveira, Matheus Felipe Cristaldo de
dc.contributor.authorSantos, Leandro Nunes dos
dc.contributor.authorSousa, Antonio Nilson Laurindo
dc.contributor.authorPilling, Sergio
dc.date.accessioned2025-02-06T17:13:17Z
dc.date.available2025-02-06T17:13:17Z
dc.date.issued22024
dc.description.abstractThe Grad-Shafranov (GS) equation is a fundamental tool extensively used in plasma physics, particularly in the context of magnetic confinement, notably in tokamaks for fusion energy research. This equation plays a crucial role in reconstructing magnetic field topology in plasma regions like the magnetopause and magnetotail, leading to the development of the GS reconstruction technique. In this third installment of our series, we explore the merger of the Yoon-Lui-2 and Yoon-Lui-3 generating functions, allowing for a deeper understanding of the core equation in Plasma Physics. Furthermore, this article provides a comprehensive summary of solutions previously presented in Parts 1 and 2. We investigate the behavior of magnetic islands positioned above either the X-axis or the Z-axis for specific parameter values and their impact on plasma confinement. The article concludes that the derived model offers a simpler, more stable, and easily analyzable solution for magnetic morphology. However, it is worth noting that the model’s inflexibility in singularity positions may limit its adaptability to different scenarios. This article marks the conclusion of our physics education series dedicated to studying new specific solutions of the GS equation.
dc.description.physical8 p.
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.uriCNPQ (431396/2018-3; 302939/2022-9); CAPES (88881.691438/2022-00, 88887.709579/2022-00) CNPQ (302985/2018-2; 302608/2022-2)
dc.format.mimetypePDF
dc.identifier.affiliationUniversidade do Vale do Paraíba
dc.identifier.affiliationUniversidade Federal de Mato Grosso do Sul
dc.identifier.affiliationUniversidade Estadual do Maranhão
dc.identifier.affiliationUniversidad Nacional Autónoma de México
dc.identifier.affiliationSecretaria de Estado de Educação de Mato Grosso do Sul
dc.identifier.bibliographicCitationOjeda-González, Arian et al. Enhancing learning of the Grad-Shafranov equation through scientific literature: Part 3 of a physics education series. Revista Brasileira de Ensino de Física, v. 46, p. e20230388-1 - e20230388-8, 2004. Disponivel em: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172024000100417&tlng=en.
dc.identifier.doi10.1590/1806-9126-rbef-2023-0388
dc.identifier.urihttps://repositorio.univap.br/handle/123456789/553
dc.language.isoen_US
dc.publisherSociedade Brasileira de Física
dc.rights.holderArian Ojeda-González
dc.subject.keywordGrad-Shafranov equation
dc.subject.keywordMagnetic flux-ropes
dc.subject.keywordPlasma confinement
dc.subject.keywordSingularity analysis
dc.titleEnhancing learning of the Grad-Shafranov equation through scientific literature: Part 3 of a physics education series
dc.typeArtigos de Periódicos

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