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authorPrefetch2022-11-08 18:14:21 +0100
committerPrefetch2022-11-08 18:14:21 +0100
commit5ed7553b723a9724f55e75261efe2666e75df725 (patch)
tree2d893dbe47b11a569a4de12dba05b9eac35f6350 /source/know/concept/maxwell-boltzmann-distribution
parent70006b2c540543a96e54254823f95348e9f0ed7a (diff)
The tweaks and fixes never stop
Diffstat (limited to 'source/know/concept/maxwell-boltzmann-distribution')
-rw-r--r--source/know/concept/maxwell-boltzmann-distribution/index.md4
1 files changed, 2 insertions, 2 deletions
diff --git a/source/know/concept/maxwell-boltzmann-distribution/index.md b/source/know/concept/maxwell-boltzmann-distribution/index.md
index ebb2460..318e659 100644
--- a/source/know/concept/maxwell-boltzmann-distribution/index.md
+++ b/source/know/concept/maxwell-boltzmann-distribution/index.md
@@ -81,7 +81,7 @@ after normalization:
$$\begin{aligned}
f(p_x, p_y, p_z)
- = \Big( \frac{1}{2 \pi m k_B T} \Big)^{3/2} \exp\!\Big( \!-\!\frac{(p_x^2 + p_y^2 + p_z^2)}{2 m k_B T} \Big)
+ = \Big( \frac{1}{2 \pi m k_B T} \Big)^{3/2} \exp\!\bigg( \!-\!\frac{(p_x^2 + p_y^2 + p_z^2)}{2 m k_B T} \bigg)
\end{aligned}$$
We now rewrite this using the velocities $$v_x = p_x / m$$,
@@ -90,7 +90,7 @@ and update the normalization, giving:
$$\begin{aligned}
\boxed{
f(v_x, v_y, v_z)
- = \Big( \frac{m}{2 \pi k_B T} \Big)^{3/2} \exp\!\Big( \!-\!\frac{m (v_x^2 + v_y^2 + v_z^2)}{2 k_B T} \Big)
+ = \Big( \frac{m}{2 \pi k_B T} \Big)^{3/2} \exp\!\bigg( \!-\!\frac{m (v_x^2 + v_y^2 + v_z^2)}{2 k_B T} \bigg)
}
\end{aligned}$$