Ce. Parnell et al., STRUCTURE AND COLLAPSE OF 3-DIMENSIONAL MAGNETIC NEUTRAL POINTS, Geophysical and astrophysical fluid dynamics, 84(3-4), 1997, pp. 245-271
The structure and collapse of linear three-dimensional magnetic neutra
l points is studied by varying the four parameters (p, q, j(parallel t
o), j(perpendicular to)) that define, in general, the linear field of
a neutral point. The effect of these parameters on both the skeleton s
tructure (i.e. the fan and spine) and the actual field line structure
of the null is considered. It is found that one current component (j(p
erpendicular to)) causes the skeleton structure of the null to fold up
From its potential state, whereas th other current component (j(paral
lel to)) causes the field lines to bend. The two other parameters (p,
q) determine the potential structure of the null and cause the null to
transform from a three-dimensional null to a two-dimensional null and
from a positive (type B) null to a negative (type A) null. To investi
gate the collapse of three-dimensional nulls, solutions to the linear,
low-beta, ideal magnetohydrodynamic equations are found. It is found
that three-dimensional null points can collapse if the field line foot
-paints are free and energy can propagate into the system.