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Generalized Chi and Eta Cross Helicities in Non-Ideal Magnetohydrodynamics
Version 1
: Received: 26 September 2023 / Approved: 26 September 2023 / Online: 27 September 2023 (10:16:45 CEST)
A peer-reviewed article of this Preprint also exists.
Sharma, P.; Yahalom, A. Generalized χ and η Cross-Helicities in Non-Ideal Magnetohydrodynamics. Symmetry 2023, 15, 2203. Sharma, P.; Yahalom, A. Generalized χ and η Cross-Helicities in Non-Ideal Magnetohydrodynamics. Symmetry 2023, 15, 2203.
Abstract
We study the generalized χ and η cross helicities for non-ideal non-barotropic magnetohydrodynamics (MHD). χ and η, the additional label translation symmetry group, have been used to generalize the cross helicity in ideal flows. Both new helicities are additional topological invariants of ideal MHD. To study there behaviour in non-ideal MHD, we derive the time derivative of both helicities using the non-ideal MHD equations taking viscosity, finite resistivity and heat conduction into account. Physical variables are divided into ideal and non-ideal quantities separately during the mathematical analysis for simplification. The analytical results indicate that χ and η cross helicities are not strict constant of motion in the non-ideal MHD and show the rate of dissipation which is compared to the dissipation of other topological constants of motion.
Keywords
MHD; Topological Constants of Motion; Non Ideal Flows
Subject
Physical Sciences, Fluids and Plasmas Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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