Abstract Details
Abstracts
Author: Joshua W. Burby
Requested Type: Poster
Submitted: 2024-04-12 17:30:27
Co-authors: P. Helander, P. J. Morrison
Contact Info:
University of Texas at Austin
2515 Speedway
Austin, TX 78712-1
USA
Abstract Text:
Various forms of reduced MHD in axisymmetric domains comprise infinite-dimensional Hamiltonian systems [1]. Knowledge of that structure can be used for different purposes, including finding novel exact solutions and guiding the design of structure-preserving simulations (see e.g. [2]). Various forms of reduced MHD have been obtained for stellarators [3]. We show that a variant of reduced MHD for stellarators also comprises an infinite-dimensional Hamiltonian system. When expressed in Boozer coordinates, the bracket has the same structure as reduced MHD brackets for axisymmetric domains. From a coordinate-independent perspective, satisfaction of the Jacobi identity is equivalent to a compatibility condition involving the hidden symmetry generator underlying Boozer coordinates.
[1] P. Morrison and R. Hazeltine, Phys. Fluids 27, 886(1984); J.-L. Thiffeault and P. Morrison, Physica D 136, 205 (2000); E. Tassi et al., Nuc. Fusion 50, 034007(2010).
[2] P. Morrison, Phys. Plasmas 24, 055502 (2017).
[3] A Zocco et al., Plasma Phys. Control. Fusion 63, 025001 (2021); H. Strauss, J. Plasma Phys. 57, 83 (1997); C. Hegna et al., Phys. Plasmas 25, 022511 (2018).
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