Resistive magnetohydrodynamic equilibria in a torus
- Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755-3528 (United States)
It was recently demonstrated that static, resistive, magnetohydrodynamic equilibria, in the presence of spatially uniform electrical conductivity, do not exist in a torus under a standard set of assumed symmetries and boundary conditions. The difficulty, which goes away in the {open_quotes}periodic straight cylinder approximation,{close_quotes} is associated with the necessarily non-vanishing character of the curl of the Lorentz force, {bold j{times}B}. Here, we ask if there exists a spatial profile of electrical conductivity that permits the existence of zero-flow, axisymmetric resistive equilibria in a torus, and answer the question in the affirmative. However, the physical properties of the conductivity profile are unusual (the conductivity cannot be constant on a magnetic surface, for example) and whether such equilibria are to be considered physically possible remains an open question. {copyright} {ital 1997 American Institute of Physics.}
- DOE Contract Number:
- FG02-85ER53194
- OSTI ID:
- 530916
- Journal Information:
- Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 4; ISSN PHPAEN; ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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