git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@3344 f3b2605a-c512-4ea7-a41b-209d697bcdaa

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sjplimp 2009-11-06 22:16:55 +00:00
parent d7d6fa5fd4
commit 7929567c4d
5 changed files with 36 additions and 22 deletions

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\documentstyle[12pt]{article}
\begin{document}
\begin{eqnarray}
E &=& 144 \phi^2 \epsilon \left[ \frac{\sigma^{6}}{7560}
\left(\frac{D-6R}{D^{7}} + \frac{D+8R}{(D+2R)^{7}} \right) -
\frac{}{} \right. \nonumber \\
&&\qquad \left. \frac{1}{6} \left(\frac{2R(D+R) + D(D+2R)
\left[ \ln D - \ln (D+2R) \right]}{D(D+2R)} \right) \right]
\qquad r < r_c \nonumber
\end{eqnarray}
\end{document}

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@ -4,25 +4,25 @@
\begin{eqnarray}
U_A &=& - \frac{A_{cc}}{6} \left[
\frac{2 a_1 a_2}{r^2-\left(a_1+a_2\right)^2}
+ \frac{2 a_1 a_2}{r^2 - \left(a_1 - a_2\right)^2}
+ \mathrm{ln}
\left(
\frac{r^2-\left(a_1+a_2\right)^2}{r^2-\left(a_1-a_2\right)^2}
\right)
\right] \nonumber \\
\frac{2 a_1 a_2}{r^2-\left(a_1+a_2\right)^2}
+ \frac{2 a_1 a_2}{r^2 - \left(a_1 - a_2\right)^2}
+ \mathrm{ln}
\left(
\frac{r^2-\left(a_1+a_2\right)^2}{r^2-\left(a_1-a_2\right)^2}
\right)
\right] \nonumber \\
\nonumber \\
U_R &=& \frac{A_{cc}}{37800} \frac{\sigma^6}{r}
\left[ \frac{}{} \right. \nonumber \\
&&\qquad \frac{r^2-7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
{\left(r-a_1-a_2\right)^7} \nonumber \\
&&\qquad +\frac{r^2+7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
{\left(r+a_1+a_2\right)^7} \nonumber \\
&&\qquad -\frac{r^2+7r\left(a_1-a_2\right)+6\left(a_1^2-7a_1a_2+a_2^2\right)}
{\left(r+a_1-a_2\right)^7} \nonumber \\
&&\qquad \left. -\frac{r^2-7r\left(a_1-a_2\right)+6\left(a_1^2-7a_1a_2+a_2^2\right)}
{\left(r-a_1+a_2\right)^7}
\right] \nonumber \\
&&\qquad \frac{r^2-7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
{\left(r-a_1-a_2\right)^7} \nonumber \\
&&\qquad +\frac{r^2+7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
{\left(r+a_1+a_2\right)^7} \nonumber \\
&&\qquad -\frac{r^2+7r\left(a_1-a_2\right)+6\left(a_1^2-7a_1a_2+a_2^2\right)}
{\left(r+a_1-a_2\right)^7} \nonumber \\
&&\qquad \left. -\frac{r^2-7r\left(a_1-a_2\right)+6\left(a_1^2-7a_1a_2+a_2^2\right)}
{\left(r-a_1+a_2\right)^7}
\right] \nonumber \\
\nonumber \\
U &=& U_A + U_R, \qquad r < r_c \nonumber
\end{eqnarray}

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@ -113,9 +113,9 @@ LAMMPS</A> section for more info.
<P>Because this potential uses the radii of the particles, the atom style
must support particles whose size is set via the <A HREF = "shape.html">shape</A>
command. For example <A HREF = "atom_style.html">atom_style</A> colloid or
ellipsoid. Only spherical mono-disperse particles are currently
allowed for pair_style yukawa/colloid, which means the 3 shape
diameters for all particle types must be the same.
ellipsoid. Only spherical particles are currently allowed for
pair_style yukawa/colloid, which means that for each particle type,
its 3 shape diameters must be equal to each other.
</P>
<P><B>Related commands:</B>
</P>

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@ -110,9 +110,9 @@ LAMMPS"_Section_start.html#2_3 section for more info.
Because this potential uses the radii of the particles, the atom style
must support particles whose size is set via the "shape"_shape.html
command. For example "atom_style"_atom_style.html colloid or
ellipsoid. Only spherical mono-disperse particles are currently
allowed for pair_style yukawa/colloid, which means the 3 shape
diameters for all particle types must be the same.
ellipsoid. Only spherical particles are currently allowed for
pair_style yukawa/colloid, which means that for each particle type,
its 3 shape diameters must be equal to each other.
[Related commands:]