Linear Resonant Response Regimes
Table 5.2:
The various linear resonant response regimes. See Equations (4.65), (5.61),
(5.69), (5.66), and (5.110)–(5.113). The response regimes are the resistiveinertial (RI),
the viscousresistive (VR), the semicollisional (SC), the diffusiveresistive (DR), the inertial (I),
the viscousinertial (VI), and the diffusiveinertial (DI).
Regime 

Extent in  space 
limit 






RI 





VR 





SC 





DR 





I 





VI 





DI 






Figure: 5.1
Linear resonant plasma response regimes in QP space for the case . The various regimes are the diffusiveresisitive (DR), the semicollisional (SC), the resistiveinertial (RI), the viscousresistive (VR), the viscousinertial (VI), and the inertial (I).

Table 5.2 summarizes the properties of the various linear resonant response regimes found in Sections 5.9 and 5.11. Here, we have made use of the abbreviations
In addition, Figures 5.1 and 5.2 show the extents of the various different response regimes in  space for the
cases and , respectively.
Figure: 5.2
Linear resonant plasma response regimes in QP space for the case . The various regimes are the diffusiveresisitive (DR), the semicollisional (SC), the diffusiveinertial (DI), the viscousresistive (VR), the viscousinertial (VI), and the inertial (I).

Let
be the normalized radial thickness of the resonant layer. Of course, the true thickness is
. It follows from
Equation (5.69) that the relative change in the perturbed helical magnetic flux,
, across the layer
is

(5.114) 
According to the analysis of Section 5.9,
takes the respective values ,
,
, and
in the resistiveinertial, viscousresistive, semicollisional, and
diffusiveresistive response regimes. Moreover, it is clear from Figures 5.1 and 5.2 that these values are all
much less than unity. In other words, it is indeed the case that
does not vary substantially across a
“constant” resonant layer. On the other hand, according to the analysis of Section 5.11,
in the inertial,
viscousinertial, and diffusiveinertial response regimes, which implies that
does vary substantially
across a “nonconstant” layer.