ViewVC Help
View File | Revision Log | Show Annotations | View Changeset | Root Listing
root/group/trunk/mattDisertation/collections/initalSimulations.tex
Revision: 734
Committed: Wed Aug 27 19:32:40 2003 UTC (20 years, 10 months ago) by mmeineke
Content type: application/x-tex
File size: 2407 byte(s)
Log Message:
put in some writing on initialSimulations

File Contents

# Content
1
2 \section{Initial Simulations}
3 \label{sec:initialSimulations}
4
5 The first simulations we performed, were two lipid/water systems. The
6 first was a simulation of 25 lipids and 1386 waters in a cubic
7 box. The second simulation was 50 lipids and 1384 waters in a
8 rectangular box. Both systems were integrated in the microcanonical
9 ensemble for times in excess of 15 ns.
10
11 The 25 lipid system (scheme I) was initially started from an ordered
12 configuration. The lipids were aligned in a 5x5 square with a side by
13 side spacing of $\approx\mbox{8\AA}$ (Fig.~\ref{fig:25lipidInit}) The
14 box was then filled with water in an FCC lattice. The temperature was
15 then equilibrated to 300~K by resampling the atomic velocitiues from a
16 Maxwell-Boltzmann distribution. Once the temperature had been set, the
17 system was allowed to progress for $\approx 20$~ns.
18
19 \begin{figure}
20 \parbox{\linewidth}{Here is the initial 25 lipid configuration}
21 \caption[The initial configuration of scheme I]{The starting configuration of scheme I.}
22 \label{fig:25lipidinit}
23 \end{figure}
24
25 The 50 lipid system (scheme II) was initially started from a randomly
26 generarted configuration. A system box was initially filled with water
27 in an FCC lattice. The 50 lipid molecules were then sequentially
28 placed in the box with a random orientaion and position. If the lipid
29 did not overlap with a previously placed one, its position was
30 accepted, and the next lipid was placed. Once all 50 lipids were
31 positioned, any waters overlaping with the lipids were removed
32 (Fig.~\ref{fig:r50Init}. The system was then equilibrated to 300~K in
33 the same manner as scheme I.
34
35 \begin{figure}
36 \parbox{\linewidth}{Here is the initial random 50 lipid configuration}
37 \caption[The initial configuration of scheme II]{The starting configuration of scheme II.}
38 \label{fig:r50Init}
39 \end{figure}
40
41 \subsection{Results}
42 \label{subSec:initSimsResults}
43
44 Scheme I was found to split into two leaves within the first
45 5~ns. However, as the simulation progressed, it became appaarent that
46 the system was frustrated in its confined box. After 15~ns, the two
47 leaveswere still unable to form a bilayer. Instead, thew were only
48 able to form two skewed layers (Fig.~\ref{fig:25lipidFinal}).
49
50 \begin{figure}
51 \parbox{\linewidth}{Here is the final 25 lipid configuration}
52 \caption[The final configuration of scheme I]{The final configuration of scheme I.}
53 \label{fig:25lipidFinal}
54 \end{figure}