From e28d2a982d0c65fcad9a2d2a4c20d06a9848fa8f Mon Sep 17 00:00:00 2001 From: Prefetch Date: Tue, 5 Oct 2021 19:31:12 +0200 Subject: Expand knowledge base --- content/know/concept/maxwell-boltzmann-distribution/index.pdc | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'content/know/concept/maxwell-boltzmann-distribution/index.pdc') diff --git a/content/know/concept/maxwell-boltzmann-distribution/index.pdc b/content/know/concept/maxwell-boltzmann-distribution/index.pdc index 38b56fd..3328eaf 100644 --- a/content/know/concept/maxwell-boltzmann-distribution/index.pdc +++ b/content/know/concept/maxwell-boltzmann-distribution/index.pdc @@ -20,7 +20,7 @@ probability distributions with applications in classical statistical physics. ## Velocity vector distribution -In the canonical ensemble +In the [canonical ensemble](/know/concept/canonical-ensemble/) (where a fixed-size system can exchange energy with its environment), the probability of a microstate with energy $E$ is given by the Boltzmann distribution: @@ -31,7 +31,7 @@ $$\begin{aligned} Where $\beta = 1 / k_B T$. We split $E = K + U$, -where $K$ and $U$ are the total kinetic and potential energy contributions. +with $K$ and $U$ the total kinetic and potential energy contributions. If there are $N$ particles in the system, with positions $\tilde{r} = (\vec{r}_1, ..., \vec{r}_N)$ and momenta $\tilde{p} = (\vec{p}_1, ..., \vec{p}_N)$, -- cgit v1.2.3