Advanced Space Plasma Physics
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... slow magnetosonic waves, which in a hot plasma travel ...
This should be a scalar equation,
with the line following the equation reading as: which is the only non-zero component of the current disturbance.
.... as condition of instability. Under these favorable conditions, the ion
tearing instability will grow at the growth rate in Eq. (7.83)
whenever the growth rate exceeds the value
with
The graphic representation of this condition is shown in Fig. 7.9.
For given b and
.
Eqs. (7.95) and (7.96) set thresholds on the ion tearing instability:
a large normal component of the magnetic field in the center of the
neutral sheet tends to stabilize the collisionless tearing mode. To visualize
the unstable range we combine the conditions into one, defining
. Then instability arises for
instability arises in the shaded region. Hence ....
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This Equation should read as :
But because of the Boltzmann relation,
,
the...
Wave energy and delta function should go into the numerator: