From 5ed7553b723a9724f55e75261efe2666e75df725 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Tue, 8 Nov 2022 18:14:21 +0100
Subject: The tweaks and fixes never stop

---
 source/know/concept/coulomb-logarithm/index.md | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

(limited to 'source/know/concept/coulomb-logarithm')

diff --git a/source/know/concept/coulomb-logarithm/index.md b/source/know/concept/coulomb-logarithm/index.md
index b843eb3..b3be5ac 100644
--- a/source/know/concept/coulomb-logarithm/index.md
+++ b/source/know/concept/coulomb-logarithm/index.md
@@ -147,12 +147,12 @@ We thus find:
 $$\begin{aligned}
     \boxed{
         \sigma_\mathrm{small}
-        = 8 \ln(\Lambda) \sigma_\mathrm{large}
-        = \frac{q_1^2 q_2^2 \ln\!(\Lambda)}{2 \pi \varepsilon_0^2 |\vb{v}|^4 \mu^2}
+        = 8 \sigma_\mathrm{large} \ln(\Lambda)
+        = \frac{q_1^2 q_2^2 \ln(\Lambda)}{2 \pi \varepsilon_0^2 |\vb{v}|^4 \mu^2}
     }
 \end{aligned}$$
 
-Here, $$\ln\!(\Lambda)$$ is known as the **Coulomb logarithm**,
+Here, $$\ln(\Lambda)$$ is known as the **Coulomb logarithm**,
 with the **plasma parameter** $$\Lambda$$ defined below,
 equal to $$9/2$$ times the number of particles
 in a sphere with radius $$\lambda_D$$:
@@ -168,7 +168,7 @@ $$\begin{aligned}
 The above relation between $$\sigma_\mathrm{small}$$ and $$\sigma_\mathrm{large}$$
 gives us an estimate of how much more often
 small deflections occur, compared to large ones.
-In a typical plasma, $$\ln\!(\Lambda)$$ is between 6 and 25,
+In a typical plasma, $$\ln(\Lambda)$$ is between 6 and 25,
 such that $$\sigma_\mathrm{small}$$ is 2-3 orders of magnitude larger than $$\sigma_\mathrm{large}$$.
 
 Note that $$t$$ is now fixed as the period
@@ -179,7 +179,7 @@ for significant energy transfer between partices:
 $$\begin{aligned}
     \frac{1}{t}
     = n |\vb{v}| \sigma_\mathrm{small}
-    = \frac{q_1^2 q_2^2 \ln\!(\Lambda) \: n}{2 \pi \varepsilon_0^2 \mu^2 |\vb{v}|^3}
+    = \frac{q_1^2 q_2^2 \ln(\Lambda) \: n}{2 \pi \varepsilon_0^2 \mu^2 |\vb{v}|^3}
     \sim \frac{n}{T^{3/2}}
 \end{aligned}$$
 
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