235 |
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The expression for the energy flux can be re-written as another |
236 |
|
ellipsoid centered on $(x,y,z) = 0$: |
237 |
|
\begin{equation} |
238 |
< |
\sum_{\alpha = x,y,z} K_c^\alpha \alpha^2 = -J_z \Delta t + |
239 |
< |
\sum_{\alpha = x,y,z} K_c^\alpha |
238 |
> |
\sum_{\alpha = x,y,z} K_c^\alpha \alpha^2 = \sum_{\alpha = x,y,z} |
239 |
> |
K_c^\alpha -J_z \Delta t |
240 |
|
\label{eq:fluxEllipsoid} |
241 |
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\end{equation} |
242 |
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The spatial extent of the {\it thermal flux ellipsoid} is governed |
331 |
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each MD step. We have tested it for a variety of different |
332 |
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situations, including homogeneous fluids (Lennard-Jones and SPC/E |
333 |
|
water), crystalline solids (EAM and Sutton-Chen models for Gold), and |
334 |
< |
heterogeneous interfaces (EAM gold - SPC/E water). The last of these |
334 |
> |
heterogeneous interfaces (QSC gold - SPC/E water). The last of these |
335 |
|
systems would have been very difficult to study using previous RNEMD |
336 |
|
methods, but using velocity scaling moves, we can even obtain |
337 |
|
estimates of the interfacial thermal conductivity. |