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Hamiltonian description for magnetic field lines in fusion plasmas: A tutorial

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Author(s):
Viana, R. L. ; Mugnaine, M. ; Caldas, I. L.
Total Authors: 3
Document type: Journal article
Source: Physics of Plasmas; v. 30, n. 9, p. 15-pg., 2023-09-01.
Abstract

Under certain circumstances, the equations for the magnetic field lines can be recast in a canonical form after defining a suitable field line Hamiltonian. This analogy is extremely useful for dealing with a variety of problems involving magnetically confined plasmas, like in tokamaks and other toroidal devices, where there is usually one symmetric coordinate that plays the role of time in the canonical equations. In this tutorial paper, we review the basics of the Hamiltonian description for magnetic field lines, emphasizing the role of a variational principle and gauge invariance. We present representative applications of the formalism using cylindrical and magnetic flux coordinates in tokamak plasmas. (AU)

FAPESP's process: 18/03211-6 - Non linear dynamics
Grantee:Iberê Luiz Caldas
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 22/12736-0 - Oscillations in magnetically confined plasmas
Grantee:Michele Mugnaine
Support Opportunities: Scholarships in Brazil - Post-Doctoral