--- trunk/tengDissertation/Langevin.tex	2006/07/18 14:19:49	2945
+++ trunk/tengDissertation/Langevin.tex	2006/07/18 14:32:45	2947
@@ -576,20 +576,17 @@ where the units for translational, translation-rotatio
 0.2057&0&0&0&3.219&10.7373\\
 \end{array}} \right).
 \]
-where the units for translational, translation-rotation coupling and
-rotational tensors are $\frac{kcal \cdot fs}{mol \cdot \rm{\AA}^2}$,
-$\frac{kcal \cdot fs}{mol \cdot \rm{\AA} \cdot rad}$ and $\frac{kcal
-\cdot fs}{mol \cdot rad^2}$ respectively. Curves of the velocity
-auto-correlation functions in Fig.~\ref{langevin:vacf} were shown to
-match each other very well. However, because of the stochastic
-nature, simulation using Langevin dynamics was shown to decay
-slightly faster than MD. In order to study the rotational motion of
-the molecules, we also calculated the auto-correlation function of
-the principle axis of the second GB particle, $u$. The discrepancy
-shown in Fig.~\ref{langevin:uacf} was probably due to the reason
-that we used the experimental viscosity directly instead of
-calculating bulk viscosity from simulation.
+where the units for translational, translation-rotation coupling and rotational tensors are $\frac{kcal \cdot fs}{mol \cdot \rm{\AA}^2}$, $\frac{kcal \cdot fs}{mol \cdot \rm{\AA} \cdot rad}$ and $\frac{kcal \cdot fs}{mol \cdot rad^2}$ respectively.
 
+Curves of the velocity auto-correlation functions in
+Fig.~\ref{langevin:vacf} were shown to match each other very well.
+However, because of the stochastic nature, simulation using Langevin
+dynamics was shown to decay slightly faster than MD. In order to
+study the rotational motion of the molecules, we also calculated the
+auto-correlation function of the principle axis of the second GB
+particle, $u$. The discrepancy shown in Fig.~\ref{langevin:uacf} was
+probably due to the reason that we used the experimental viscosity directly instead of calculating bulk viscosity from simulation.
+
 \begin{figure}
 \centering
 \includegraphics[width=\linewidth]{roughShell.eps}