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A class of resistive axisymmetric magnetohydrodynamic equilibria in a periodic cylinder

Published online by Cambridge University Press:  23 August 2002

ANTONIO PONNO ,
LUIGI GALGANI  and
DAVID C. MONTGOMERY
ANTONIO PONNO
Affiliation:
Università a di Padova, Dipartimento di Fisica, and INFM, Unità a di Ricerca di Padova, Via Marzolo 8, 35131 Padova, Italy (ponno@pd.infn.it)
LUIGI GALGANI
Affiliation:
Università a di Milano, Dipartimento di Matematica, Via Saldini 50, 20133 Milano, Italy (galgani@mat.unimi.it)
DAVID C. MONTGOMERY
Affiliation:
Department of Physics and Astronomy, Dartmouth College, 6127 Wilder Hall, Hanover, NH 03755-3528, USA (David.C.Montgomery@Dartmouth.EDU)
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Abstract

We consider a model of viscoresistive incompressible magnetohydrodynamics in a periodic cylinder, with boundary conditions meant to idealize in a tractable way those of a laboratory plasma. The resistivity is described by a tensor presenting a field-dependent anisotropic part suggested by kinetic theory, controlled by a certain anisotropy parameter. An explicit analytical description of the corresponding axisymmetric zero-flow equilibria is given, and it is shown how tokamak-like or paramagnetic-pinch-like field profiles are obtained as the anisotropy parameter is changed. The study of the stability properties of such equilibria is deferred to a later paper.

Type
Research Article
Information
Journal of Plasma Physics , Volume 67 , Issue 4 , May 2002 , pp. 251 - 269
Copyright
2002 Cambridge University Press

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