Abstract
We study the generalized (Formula presented.) and (Formula presented.) cross-helicities for non-ideal non-barotropic magnetohydrodynamics (MHD). (Formula presented.) and (Formula presented.), the additional label translation symmetry group, are used to generalize cross-helicity in ideal flows. Both new helicities are additional topological invariants of ideal MHD. To study there behavior in non-ideal MHD, we calculate the time derivative of both helicities using non-ideal MHD equations in which viscosity, finite resistivity, and heat conduction are taken into account. Physical variables are divided into ideal and non-ideal quantities separately during the mathematical analysis for simplification. The analytical results indicate that (Formula presented.) and (Formula presented.) cross-helicities are not strict constants of motion in non-ideal MHD and show a rate of dissipation that is comparable to the dissipation of other topological constants of motion.
Original language | English |
---|---|
Article number | 2203 |
Journal | Symmetry |
Volume | 15 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2023 |
Keywords
- MHD
- non-ideal flows
- topological constants of motion
All Science Journal Classification (ASJC) codes
- Computer Science (miscellaneous)
- Chemistry (miscellaneous)
- General Mathematics
- Physics and Astronomy (miscellaneous)