On Hall magnetohydrodynamics equilibria

Journal Article · Sun Oct 15 00:00:00 EDT 2006 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2358111· OSTI ID:20860307

Throumoulopoulos, G N; Tasso, H ^[1]

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1. University of Ioannina, Association Euratom - Hellenic Republic, Section of Theoretical Physics, GR 451 10 Ioannina (Greece)

Steady states are studied in the framework of the ideal Hall magnetohydrodynamics (HMHD) model in arbitrary and axisymmetric geometries. In arbitrary geometry, conditions are found under which certain magnetohydrodynamics (MHD) equilibrium solutions can also satisfy the HMHD equations. For axisymmetric plasmas reduced equations are derived for uniform electron temperatures on magnetic surfaces and either barotropic ions or incompressible ion flows. The Hall and electron pressure gradient terms result in a deviation of the magnetic from the ion velocity surfaces, and consequently, the axisymmetric equilibria obey a set of coupled partial differential equations: one for the poloidal magnetic flux function and the other for a flux function labeling the ion velocity surfaces. Furthermore, the characteristics of certain classes of axisymmetric steady states with side conditions, as flows parallel to the magnetic field or purely poloidal incompressible flows, are identified and compared with respective MHD equilibria. Unlike in the frame of MHD, steady states with parallel axisymetric flows must be incompressible and equilibria with purely poloidal incompressible flows are possible. Certain analytic axisymmetric solutions are also constructed.

• OSTI ID: 20860307
• Journal Information: Physics of Plasmas, Vol. 13, Issue 10; Other Information: DOI: 10.1063/1.2358111; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AXIAL SYMMETRY
ELECTRON TEMPERATURE
ELECTRONS
GEOMETRY
INCOMPRESSIBLE FLOW
ION TEMPERATURE
IONS
MAGNETIC FIELDS
MAGNETIC FLUX
MAGNETIC SURFACES
MAGNETOHYDRODYNAMICS
MATHEMATICAL SOLUTIONS
MHD EQUILIBRIUM
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA PRESSURE
PRESSURE GRADIENTS
RADIATION TRANSPORT
STEADY-STATE CONDITIONS