--- interfacial/interfacial.tex 2011/07/26 19:43:10 3751 +++ interfacial/interfacial.tex 2011/07/26 23:01:51 3752 @@ -190,12 +190,15 @@ ways to define $G$. One way is to assume the temperatu temperature of the two separated phases. When the interfacial conductance is {\it not} small, there are two -ways to define $G$. One way is to assume the temperature is discrete -on the two sides of the interface. $G$ can be calculated using the -applied thermal flux $J$ and the maximum temperature difference -measured along the thermal gradient max($\Delta T$), which occurs at -the Gibbs deviding surface (Figure \ref{demoPic}): \begin{equation} - G=\frac{J}{\Delta T} \label{discreteG} \end{equation} +ways to define $G$. One common way is to assume the temperature is +discrete on the two sides of the interface. $G$ can be calculated +using the applied thermal flux $J$ and the maximum temperature +difference measured along the thermal gradient max($\Delta T$), which +occurs at the Gibbs deviding surface (Figure \ref{demoPic}): +\begin{equation} + G=\frac{J}{\Delta T} +\label{discreteG} +\end{equation} \begin{figure} \includegraphics[width=\linewidth]{method} @@ -296,7 +299,7 @@ between periodic images of the gold interfaces is $35 solvent molecules would change the normal behavior of the liquid phase. Therefore, our $N_{solvent}$ values were chosen to ensure that these extreme cases did not happen to our simulations. The spacing -between periodic images of the gold interfaces is $35 \sim 75$\AA. +between periodic images of the gold interfaces is $45 \sim 75$\AA. The initial configurations generated are further equilibrated with the $x$ and $y$ dimensions fixed, only allowing the $z$-length scale to @@ -347,9 +350,7 @@ particles of different species. these simulations. The chemically-distinct sites (a-e) are expanded in terms of constituent atoms for both United Atom (UA) and All Atom (AA) force fields. Most parameters are from - Refs. \protect\cite{TraPPE-UA.alkanes,TraPPE-UA.alkylbenzenes} (UA) and - \protect\cite{OPLSAA} (AA). Cross-interactions with the Au atoms are given - in Table \ref{MnM}.} + Refs. \protect\cite{TraPPE-UA.alkanes,TraPPE-UA.alkylbenzenes,TraPPE-UA.thiols} (UA) and \protect\cite{OPLSAA} (AA). Cross-interactions with the Au atoms are given in Table \ref{MnM}.} \label{demoMol} \end{figure} @@ -386,15 +387,13 @@ included in our studies as well. For hexane, the OPLS- this solvent model. Besides the TraPPE-UA models, AA models for both organic solvents are -included in our studies as well. For hexane, the OPLS-AA\cite{OPLSAA} -force field is used, and additional explicit hydrogen sites were +included in our studies as well. The OPLS-AA\cite{OPLSAA} force fields +were used. For hexane, additional explicit hydrogen sites were included. Besides bonding and non-bonded site-site interactions, partial charges and the electrostatic interactions were added to each -CT and HC site. For toluene, the United Force Field developed by -Rapp\'{e} {\it et al.}\cite{doi:10.1021/ja00051a040} was adopted, and -a flexible model for the toluene molecule was utilized which included -bond, bend, torsion, and inversion potentials to enforce ring -planarity. +CT and HC site. For toluene, a flexible model for the toluene molecule +was utilized which included bond, bend, torsion, and inversion +potentials to enforce ring planarity. The butanethiol capping agent in our simulations, were also modeled with both UA and AA model. The TraPPE-UA force field includes @@ -730,7 +729,7 @@ case, $G$ decrease could not be offset but instead acc would not offset this effect. Eventually, when butanethiol coverage continues to decrease, solvent-capping agent contact actually decreases with the disappearing of butanethiol molecules. In this -case, $G$ decrease could not be offset but instead accelerated. [NEED +case, $G$ decrease could not be offset but instead accelerated. [MAY NEED SNAPSHOT SHOWING THE PHENOMENA / SLAB DENSITY ANALYSIS] A comparison of the results obtained from differenet organic solvents @@ -956,11 +955,11 @@ Au(111) surface\cite{vlugt:cpc2007154}. This differenc Vlugt {\it et al.} has investigated the surface thiol structures for nanocrystal gold and pointed out that they differs from those of the -Au(111) surface\cite{vlugt:cpc2007154}. This difference might lead to -change of interfacial thermal transport behavior as well. To -investigate this problem, an effective means to introduce thermal flux -and measure the corresponding thermal gradient is desirable for -simulating structures with spherical symmetry. +Au(111) surface\cite{landman:1998,vlugt:cpc2007154}. This difference +might lead to change of interfacial thermal transport behavior as +well. To investigate this problem, an effective means to introduce +thermal flux and measure the corresponding thermal gradient is +desirable for simulating structures with spherical symmetry. \section{Acknowledgments} Support for this project was provided by the National Science