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root/group/trunk/chainLength/GoldThiolsPaper.tex
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Revision 3822 by gezelter, Tue Dec 18 16:22:13 2012 UTC vs.
Revision 3824 by kstocke1, Tue Dec 18 20:35:30 2012 UTC

# Line 535 | Line 535 | We define the mobility of solvent molecules at the int
535   % to determine short and long residence timescales and the relative populations of solvent molecules that can escape rapidly.  
536   We define the mobility of solvent molecules at the interface as
537   \begin{equation}
538 < M = \int_{0}^{T} 1 - C(t) dt,
538 > P_{mobile} = \frac{1}{T}\int_{0}^{T} 1 - C(t) dt,
539    \label{eq:mobility}
540   \end{equation}
541 < where T is the length of the simulation.
541 > where T is the length of the simulation. If all solvent molecule originally entangled in the thiolate chains leave the interfacial layer during time T, $P_{mobile} = 1$. Conversely, if the solvent molecules remain completely entrenched within the chains, $P_{mobile} = 0$.
542   In figure \ref{figure:res} we show that interfacial solvent mobility decreases as the percentage of long thiolate chains increases.
543  
544          

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