From 18ab9b9d00ca80204194153dbdad6519dbecbc85 Mon Sep 17 00:00:00 2001
From: "T. van der Sar" <t.vandersar@tudelft.nl>
Date: Wed, 19 Feb 2020 08:20:51 +0000
Subject: [PATCH] Update 3_drude_model.md - typo fix
---
src/3_drude_model.md | 2 +-
1 file changed, 1 insertion(+), 1 deletion(-)
diff --git a/src/3_drude_model.md b/src/3_drude_model.md
index ac49dbb6..02661e0f 100644
--- a/src/3_drude_model.md
+++ b/src/3_drude_model.md
@@ -149,7 +149,7 @@ m⟨\mathbf{v}(t+dt)⟩ &= [m⟨\mathbf{v}(t)⟩ - e (\mathbf{E} + \mathbf{v} ×
&\quad\quad\quad\quad + e (\mathbf{E} + \mathbf{v} × \mathbf{B}) m⟨\mathbf{v}(t)⟩dt²/τ.
\end{align}
$$
-We now neglect the term proportional to $dt²$ (it vanishes when $dt → ∞$).
+We now neglect the term proportional to $dt²$ (it vanishes when $dt → 0$).
Finally, we recognize that $(⟨\mathbf{v}(t+dt)⟩ - (⟨\mathbf{v}(t)⟩)/dt = d⟨\mathbf{v}(t)⟩)/dt$, and arrive to
$$
m\frac{d⟨\mathbf{v}⟩}{dt} = -m\frac{⟨\mathbf{v}⟩}{τ} -e\left(\mathbf{E}+⟨\mathbf{v}⟩×\mathbf{B}\right).
--
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