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%Images to include: 3-long comic strip style of <Vx>, T, q_z as a function of z for the basal and prismatic faces. q_z by z with fit for basal and prismatic. interface width as a function of deltaVx (shear rate) with basal and prismatic on the same plot, error bars in the x and y. <Vx> by flux with basal and prismatic on same graph, back out slope from xmgr and error in slope to get lambda, friction coefficient of interface. |
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...In Figures \ref{fig:bComic} and \ref{fig:pComic} we see the $z$-dimensional profiles for several parameters of the basal and prismatic systems respectively. In panel (a) of the figures we see the tetrahedrality profile of the systems (black circles). In the liquid region of the system, the local tetrahedral order parameter is approximately 0.75, in good agreement with...(see if Stanley reported liquid SPC/E and cite if so) In the solid region, the parameter is approximately 0.9, indicating a more tetrahedral structure of the water molecules(check this). The hyperbolic tangent function used to fit the tetrahedrality profiles can be found in red and the verticle dotted lines denote the midpoint of the interfaces. The weak thermal gradient applied to the systems in order to keep the interface at a stable temperature, 225$\pm$5, can be seen in panel (b). Lastly, the velocity gradient across the systems can be seen in panel (c). From panel (c), we can see that shearing ice water is in the high stick limit. (check wording) Liquid phase water molecules (number Angstroms) from the midpoint of the interface are being dragged along with the ice block. |
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\subsection{Interfacial Width} |
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%Will report values in text, no plot for this. |
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For the basal and prismatic systems, the ice blocks were sheared through the water at varying rates while an imposed thermal gradient kept the interface at the stable temperature range as described by Byrk and Haymet. The interfacial width as described by the fit of the tetrahedrally profile shows no dependence on shear rate as seen in Figure \ref{fig:FIGURENAME}. |
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\subsection{Coefficient of Friction of the Interface} |
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J_{z}(p_{x})=-\lambda_{ice}v_{x}(y_{ice}). |
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\end{equation} |
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In Figure \ref{fig:CoeffFric}, the average velocity of the ice is plotted against the imposed momentum flux for the basal (black circles) and prismatic (red circles) systems. From the equation above, the slope of the linear fit of the data is $\lamda_{wall}$. The coefficient of friction of the interface for the basal face was calculated to be 11.02808 $\pm$ 0.4489844 (units), and the $\lambda_{wall}$ for the prismatic face was determined to be 19.95948, $\pm$ 0.5370894 (units). |
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%Ask dan about truncating versus rounding the values for lambda. |
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\section{Conclusion} |
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Write your conclusion here. |
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\pagebreak |
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\begin{figure} |
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< |
\includegraphics{bComicStrip.eps}% Here is how to import EPS art |
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< |
\caption{\label{fig:bComic} 1. Qz 2. Tz 3. Vxz} |
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> |
\includegraphics{bComicStrip.eps} |
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\caption{\label{fig:bComic} The basal system: (a) The local tetrahedral order parameter,$q$, (black circles) fit by a hyperbolic tangent (red line), (b) the thermal gradient imposed on the system to maintain a stable interfacial temperature, and (c) the velocity gradient imposed on the system. The verticle dotted lines indicate the midpoint of the interfaces.} |
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\end{figure} |
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%(a) The local tetrahedral order parameter across the z-dimension of the system (black circles) fit by a hyperbolic tangent (red line). (b) The thermal gradient imposed on the system to maintain a stable interfacial temperature. (c) The velocity gradient imposed on the system. The verticle dotted lines indicate the midpoint of the interfaces. |
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\pagebreak |
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\begin{figure} |
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< |
\includegraphics{pComicStrip.eps}% Here is how to import EPS art |
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< |
\caption{\label{fig:pComic} 1. Qz 2. Tz 3. Vxz} |
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> |
\includegraphics{pComicStrip.eps} |
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\caption{\label{fig:pComic} The prismatic system: (a) The local tetrahedral order parameter,$q$, (black circles) fit by a hyperbolic tangent (red line), (b) the thermal gradient imposed on the system to maintain a stable interfacial temperature, and (c) the velocity gradient imposed on the system.The verticle dotted lines indicate the midpoint of the interfaces.} |
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\end{figure} |
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\pagebreak |
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\begin{figure} |
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< |
\includegraphics{CoeffFric.eps}% Here is how to import EPS art |
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< |
\caption{\label{fig:CoeffFric} caption about CoeffFric graph here} |
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> |
\includegraphics{CoeffFric.eps} |
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> |
\caption{\label{fig:CoeffFric} The average velocity of the ice for the basal (black circles) and prismatic (red circles) systems as a function off applied momentum flux. The slope of the fit line } |
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\end{figure} |
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% basal: slope=11.02808, error in slope = 0.4489844 |
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%prismatic: slope = 19.95948, error in slope = 0.5370894 |
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\end{document} |
