419 |
|
and ${\langle T_{gold}\rangle}$ and ${\langle T_{water}\rangle}$ are the |
420 |
|
average observed temperature of gold and water phases respectively. |
421 |
|
|
422 |
< |
\section{Results And Discussion} |
422 |
> |
\section{Results And Discussions} |
423 |
|
\subsection{Thermal Conductivity} |
424 |
|
\subsubsection{Lennard-Jones Fluid} |
425 |
< |
Our thermal conductivity calculations also show that scaling method results |
426 |
< |
agree with swapping method. Table \ref{thermal} lists our simulation |
427 |
< |
results with similar manner we used in shear viscosity |
428 |
< |
calculation. All the data reported from scaling method were obtained |
429 |
< |
by simulations of 10-step exchange frequency, and the target exchange |
430 |
< |
kinetic energy were set to produce equivalent kinetic energy flux as |
431 |
< |
in swapping method. Figure \ref{thermalGrad} exhibits similar thermal |
432 |
< |
gradients of respective similar kinetic energy flux. |
425 |
> |
Our thermal conductivity calculations show that scaling method results |
426 |
> |
agree with swapping method. Four different exchange intervals were |
427 |
> |
tested (Table \ref{thermalLJRes}) using swapping method. With a fixed |
428 |
> |
10fs exchange interval, target exchange kinetic energy was set to |
429 |
> |
produce equivalent kinetic energy flux as in swapping method. And |
430 |
> |
similar thermal gradients were observed with similar thermal flux in |
431 |
> |
two simulation methods (Figure \ref{thermalGrad}). |
432 |
|
|
433 |
|
\begin{table*} |
434 |
|
\begin{minipage}{\linewidth} |
441 |
|
|
442 |
|
\begin{tabular}{ccc} |
443 |
|
\hline |
444 |
< |
Series & $\lambda^*_{swap}$ & $\lambda^*_{scale}$\\ |
444 |
> |
(Equilvalent) Exchange Interval (fs) & $\lambda^*_{swap}$ & |
445 |
> |
$\lambda^*_{scale}$\\ |
446 |
|
\hline |
447 |
< |
20-250 & 7.03(0.34) & 7.30(0.10)\\ |
448 |
< |
20-500 & 7.03(0.14) & 6.95(0.09)\\ |
449 |
< |
20-1000 & 6.91(0.42) & 7.19(0.07)\\ |
450 |
< |
20-2000 & 7.52(0.15) & 7.19(0.28)\\ |
447 |
> |
250 & 7.03(0.34) & 7.30(0.10)\\ |
448 |
> |
500 & 7.03(0.14) & 6.95(0.09)\\ |
449 |
> |
1000 & 6.91(0.42) & 7.19(0.07)\\ |
450 |
> |
2000 & 7.52(0.15) & 7.19(0.28)\\ |
451 |
|
\hline |
452 |
|
\end{tabular} |
453 |
< |
\label{thermal} |
453 |
> |
\label{thermalLJRes} |
454 |
|
\end{center} |
455 |
|
\end{minipage} |
456 |
|
\end{table*} |
457 |
|
|
458 |
|
\begin{figure} |
459 |
|
\includegraphics[width=\linewidth]{thermalGrad} |
460 |
< |
\caption{Temperature gradients of thermal conductivity simulations} |
460 |
> |
\caption{Temperature gradients under various kinetic energy flux of |
461 |
> |
thermal conductivity simulations} |
462 |
|
\label{thermalGrad} |
463 |
|
\end{figure} |
464 |
|
|