--- trunk/tengDissertation/Methodology.tex	2006/05/26 17:56:36	2778
+++ trunk/tengDissertation/Methodology.tex	2006/06/06 14:12:59	2798
@@ -621,15 +621,16 @@ standard NPT ensemble with a different pressure contro
 called the average surface area per lipid. Constat area and constant
 lateral pressure simulation can be achieved by extending the
 standard NPT ensemble with a different pressure control strategy
+
 \begin{equation}
-\dot
-\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\leftrightarrow$}}
-\over \eta } _{\alpha \beta }  = \left\{ \begin{array}{l}
- \frac{{V(P_{\alpha \beta }  - P_{{\rm{target}}} )}}{{\tau _{\rm{B}}^{\rm{2}} fk_B T_{{\rm{target}}} }}{\rm{   }}(\alpha  = \beta  = z), \\
- 0{\rm{                        }}(\alpha  \ne z{\rm{ }}or{\rm{ }}\beta  \ne z) \\
- \end{array} \right.
-\label{methodEquation:NPATeta}
+ \.{\overleftrightarrow{{\eta _{\alpha \beta}}}}=\left\{\begin{array}{ll}
+                  \frac{{V(P_{\alpha \beta }  - P_{{\rm{target}}} )}}{{\tau_{\rm{B}}^{\rm{2}} fk_B T_{{\rm{target}}} }}
+                  & \mbox{if \[ \alpha = \beta  = z)$}\\
+                  0 & \mbox{otherwise}\\
+           \end{array}
+    \right.
 \end{equation}
+
 Note that the iterative schemes for NPAT are identical to those
 described for the NPTi integrator.
 
@@ -648,14 +649,11 @@ $\eta$, in $NP\gamma T$ is
 pressure. The equation of motion for cell size control tensor,
 $\eta$, in $NP\gamma T$ is
 \begin{equation}
-\dot
-\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\leftrightarrow$}}
-\over \eta } _{\alpha \beta }  = \left\{ \begin{array}{l}
-  - A_{xy} (\gamma _\alpha   - \gamma _{{\rm{target}}} ){\rm{ (}}\alpha  = \beta  = x{\rm{ or }} = y{\rm{)}} \\
- \frac{{V(P_{\alpha \beta }  - P_{{\rm{target}}} )}}{{\tau _{\rm{B}}^{\rm{2}} fk_B T_{{\rm{target}}} }}{\rm{   }}(\alpha  = \beta  = z) \\
- 0{\rm{                         }}(\alpha  \ne \beta ) \\
- \end{array} \right.
-\label{methodEquation:NPrTeta}
+ \.{\overleftrightarrow{{\eta _{\alpha \beta}}}}=\left\{\begin{array}{ll}
+    - A_{xy} (\gamma _\alpha   - \gamma _{{\rm{target}}} ) & \mbox{$\alpha  = \beta  = x$ or $\alpha  = \beta  = y$}\\
+    \frac{{V(P_{\alpha \beta }  - P_{{\rm{target}}} )}}{{\tau _{\rm{B}}^{\rm{2}} fk_B T_{{\rm{target}}}}} & \mbox{$\alpha  = \beta  = z$} \\
+    0 & \mbox{$\alpha  \ne \beta$} \\
+    \right.
 \end{equation}
 where $ \gamma _{{\rm{target}}}$ is the external surface tension and
 the instantaneous surface tensor $\gamma _\alpha$ is given by