On quasisymmetric plasma equilibria sustained by small force
| Autor: | Theodore D. Drivas, Daniel Ginsberg, Peter Constantin |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Flux
FOS: Physical sciences Space (mathematics) 01 natural sciences 010305 fluids & plasmas symbols.namesake Mathematics - Analysis of PDEs 0103 physical sciences FOS: Mathematics 0101 mathematics Mathematical Physics Physics Forcing (recursion theory) Euclidean space 010102 general mathematics Mathematical analysis Fluid Dynamics (physics.flu-dyn) Physics - Fluid Dynamics Plasma Mathematical Physics (math-ph) Condensed Matter Physics Physics - Plasma Physics Symmetry (physics) Plasma Physics (physics.plasm-ph) Physics::Space Physics Compressibility Euler's formula symbols Analysis of PDEs (math.AP) |
| DOI: | 10.48550/arxiv.2009.08860 |
| Popis: | We construct smooth, non-symmetric plasma equilibria which possess closed, nested flux surfaces and solve the magnetohydrostatic (steady three-dimensional incompressible Euler) equations with a small force. The solutions are also `nearly' quasisymmetric. The primary idea is, given a desired quasisymmetry direction $\xi$, to change the smooth structure on space so that the vector field $\xi$ is Killing for the new metric and construct $\xi$--symmetric solutions of the magnetohydrostatic equations on that background by solving a generalized Grad-Shafranov equation. If $\xi$ is close to a symmetry of Euclidean space, then these are solutions on flat space up to a small forcing. Comment: 24 pages, 2 figures, accepted version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|