Resistive toroidal MHD equilibria

Conference · Tue Dec 31 04:00:00 EST 1996

OSTI ID:489425

Montgomery, D ^[1]

---

1. Dartmouth Univ., Hanover, NH (United States)

In an earlier publication, it was shown that toroidal resistive MHD equilibria, for spatially uniform resistivity and under a standard set of assumed symmetries, do not exist. The difficulties are associated with the non-vanishing nature of curl (j x B), and disappear in the {open_quotes}straight cylinder{close_quotes} limit. Here, we inquire into whether there exist spatial dependences for the (scalar) electrical resistivity which permit axisymmetric, toroidal, zero-flow resistive steady states to exist. The question is answered in the affirmative. A differential equation derived from Ohm`s law replaces the Grad-Shafranov description, and the pressure is derived from the Laplace equation obtained from taking the divergence of the equation of motion. There are some novel features to the states that result. For example, the resistivity required is not a {open_quotes}flux function{close_quotes} -- i.e., it is not constant on a magnetic surface, thus suggesting that the temperature will not be either.

• OSTI ID: 489425
• Report Number(s): CONF-960354--
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
MAGNETIC CONFINEMENT
MHD EQUILIBRIUM
TOROIDAL CONFIGURATION