summaryrefslogtreecommitdiff
path: root/content/know/concept/magnetohydrodynamics/index.pdc
diff options
context:
space:
mode:
authorPrefetch2022-01-08 14:09:13 +0100
committerPrefetch2022-01-08 14:13:44 +0100
commit7c2d27ca89c5b096694b950c766e50df2dc87001 (patch)
treeed9ee3c02fe746350b9e0714f4648a554ade52b0 /content/know/concept/magnetohydrodynamics/index.pdc
parent63966407338ed0bdb061ddfd67f8940c2ccb51d2 (diff)
Minor fixes, rename "Ion Sound Wave" and "Ito Process"
Diffstat (limited to 'content/know/concept/magnetohydrodynamics/index.pdc')
-rw-r--r--content/know/concept/magnetohydrodynamics/index.pdc4
1 files changed, 2 insertions, 2 deletions
diff --git a/content/know/concept/magnetohydrodynamics/index.pdc b/content/know/concept/magnetohydrodynamics/index.pdc
index 6672a74..89d23db 100644
--- a/content/know/concept/magnetohydrodynamics/index.pdc
+++ b/content/know/concept/magnetohydrodynamics/index.pdc
@@ -333,7 +333,7 @@ This term can be dropped in any of the following cases:
$$\begin{gathered}
1
- \gg \frac{\big| \vb{J} \cross \vb{B} / q_e n_e \big|}{\big| \vb{U} \cross \vb{B} \big|}
+ \gg \frac{\big| \vb{J} \cross \vb{B} / q_e n_e \big|}{\big| \vb{u} \cross \vb{B} \big|}
\sim \frac{\rho v_\mathrm{char} / \tau_\mathrm{char}}{v_\mathrm{char} |\vb{B}| q_i n_i}
\approx \frac{m_i n_i}{|\vb{B}| q_i n_i \tau_\mathrm{char}}
= \frac{1}{\omega_{ci} \tau_\mathrm{char}}
@@ -366,7 +366,7 @@ where we have used Ampère's law to find $\vb{J} \sim \vb{B} / \mu_0 \lambda_\ma
$$\begin{aligned}
1
- \ll \frac{\big| \vb{U} \cross \vb{B} \big|}{\big| \eta \vb{J} \big|}
+ \ll \frac{\big| \vb{u} \cross \vb{B} \big|}{\big| \eta \vb{J} \big|}
\sim \frac{v_\mathrm{char} |\vb{B}|}{\eta \vb{J}}
\sim \frac{v_\mathrm{char} |\vb{B}|}{\eta |\vb{B}| / \mu_0 \lambda_\mathrm{char}}
= \mathrm{R_m}