diff options
Diffstat (limited to 'source/know/concept/maxwell-boltzmann-distribution/index.md')
| -rw-r--r-- | source/know/concept/maxwell-boltzmann-distribution/index.md | 4 |
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: $$\begin{aligned} \boxed{ f(v_x, v_y, v_z) - = \Big( \frac{m}{2 \pi k_B T} \Big)^{3/2} \exp\!\Big( \!-\!\frac{m (v_x^2 + v_y^2 + v_z^2)}{2 k_B T} \Big) + = \Big( \frac{m}{2 \pi k_B T} \Big)^{3/2} \exp\!\bigg( \!-\!\frac{m (v_x^2 + v_y^2 + v_z^2)}{2 k_B T} \bigg) } \end{aligned}$$ |