thermo obs

diff --git a/posic/talks/md_simulation_von_silizium.tex b/posic/talks/md_simulation_von_silizium.tex
index e0e1783c3d4e95cc8230e55eaf0c546ff0b76138..5c8db3bd4191d90afbc01e9b148d1cbdd0b80e04 100644 (file)
--- a/posic/talks/md_simulation_von_silizium.tex
+++ b/posic/talks/md_simulation_von_silizium.tex
@@ -513,8 +513,15 @@ Problemstellung: Finden der Nachbarn f"ur Wechselwirkung
  Thermodynamische Gr"o"sen
 }
 \begin{itemize}
- \item Innere Energie: $E = ...$
- \item Temperatur
+ \item Innere Energie:
+       \[
+       E = <K> + <U> = < \sum_i \frac{|{\bf p}_i|^2}{2m_i} > + <U({\bf q})>
+       \]
+ \item Temperatur:
+       \[
+       E_{kin}=<K>=\frac{3}{2}Nk_BT
+       \Rightarrow T=\frac{1}{3Nk_B} \sum_i \frac{|{\bf p}_i|^2}{m_i}
+       \]
  \item Druck
  \item W"armekapazit"at
  \item Struktur Werte