Nonconstant- Linear Resonant Response Regimes
Suppose that
and
. It follows that , , , and
|
(5.103) |
Hence, we deduce that
|
(5.104) |
This response regime is known as the inertial regime, because the layer response is dominated by
ion inertia [2,13]. Note that the plasma response in the inertial regime is
equivalent to that of two closely-spaced shear-Alfvén resonances that straddle the rational surface [4].
In fact, it is easily demonstrated that in real space,
|
(5.105) |
which suggests that the resonances lie at
.
The characteristic layer width is
,
which implies that the regime is valid when , , , and
.
Suppose that
and
. It follows that , , , and
|
(5.106) |
Hence, we deduce that
|
(5.107) |
This response regime is known as the viscous-inertial regime, because the layer response is dominated by
ion perpendicular viscosity and ion inertia [13].
The characteristic layer width is
,
which implies that the regime is valid when ,
,
, and
.
Suppose, finally, that
and
. It follows that , , , and
|
(5.108) |
Hence, we deduce that
|
(5.109) |
This response regime is known as the diffusive-inertial regime, because the
layer response is dominated by perpendicular energy diffusivity and ion inertia [15]. The characteristic layer width is
, which implies that the regime is valid when ,
,
, and
.