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instabilities impose<br />
MHD-like dynamics<br />
[Bale et al. 2010]<br />
p⊥ −1<br />
p<br />
||<br />
≤<br />
S<br />
α<br />
β<br />
threshold imposed by hand<br />
to inc. Larmor radius physics<br />
pressure anisotropy can’t be large<br />
Larmor radius scale instabilities<br />
anisotropic viscous stress<br />
∂<br />
∂t<br />
2<br />
⎛⎛ ⎛⎛<br />
||<br />
( ) ⎜⎜<br />
B ⎞⎞ BB ⎛⎛ p − p<br />
ρV<br />
+ ∇ •<br />
⎜⎜<br />
ρVV<br />
+ ⎜⎜<br />
⎜⎜ p + − 1<br />
2<br />
⎝⎝<br />
8 ⎟⎟<br />
⎟⎟<br />
⊥<br />
I<br />
4<br />
⎜⎜<br />
⎜⎜ −<br />
⎝⎝ π ⎠⎠ π ⎝⎝ B<br />
⊥<br />
⎞⎞⎞⎞<br />
⎟⎟<br />
⎟⎟<br />
⎟⎟<br />
⎟⎟<br />
⎠⎠⎠⎠<br />
=<br />
0
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