A. Steinacker et Ya. Shchekinov, The influence of gravitational acceleration on the supernova-driven Parkerinstability, M NOT R AST, 325(1), 2001, pp. 208-220
Within a framework of 2D magnetohydrodynamic (MHD) simulations, we explore
the dynamical regimes initiated by a supernova explosion in a magnetized st
ratified interstellar medium (ISM). We concentrate on the formation of larg
e-scale magnetic structures and outflows connected with the Parker instabil
ity. For the sake of simplicity we only show models with a fixed explosion
energy corresponding to a single supernova, (SN) occurring in host galaxies
with different fixed values of the gravitational acceleration g and differ
ent ratios of specific heats. We show that in general, depending on these t
wo parameters, three different regimes are possible: a slowly growing Parke
r instability on time-scales much longer than the galactic rotation period
for small g; the Parker instability growing at roughly the rotation period,
which for ratios of specific heats larger than one is accompanied by an ou
tflow resulting from the explosion for intermediate g; and a rapidly growin
g instability and a strong blow-out flow for large g. By means of numerical
simulations and analytical estimates we show that the explosion energy and
gravitational acceleration which separate the three regimes scale as Eg(2)
similar to constant in the 2D case. We expect that in the 3D case this sca
ling law is Eg(3) similar to constant. Our simulations demonstrate furtherm
ore that a single SN explosion can lead to the growth of multiple Parker lo
ops in the disc and large-scale magnetic field loops in the halo, extending
over 2-3 kpc horizontally and up to 3 kpc vertically above the mid-plane o
f the disc.