From 5d8291756e7ab5498654170b911d9970427b6d04 Mon Sep 17 00:00:00 2001
From: hackbard <hackbard>
Date: Wed, 13 Jun 2007 12:26:39 +0000
Subject: [PATCH] thermo obs

---
 posic/talks/md_simulation_von_silizium.tex | 11 +++++++++--
 1 file changed, 9 insertions(+), 2 deletions(-)

diff --git a/posic/talks/md_simulation_von_silizium.tex b/posic/talks/md_simulation_von_silizium.tex
index e0e1783..5c8db3b 100644
--- 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
-- 
2.39.2