git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@10686 f3b2605a-c512-4ea7-a41b-209d697bcdaa

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sjplimp
2013-08-23 21:01:41 +00:00
parent 1038042234
commit 1e51172f94
4 changed files with 52 additions and 14 deletions

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\documentstyle[12pt]{article}
\begin{document}
$$
E = 2 \pi \epsilon \left[ \frac{2}{5} \left(\frac{\sigma}{r}\right)^{10} -
\left(\frac{\sigma}{r}\right)^4 -
\frac{\sqrt(2)\sigma^3}{3\left(r+\left(0.61/\sqrt(2)\right)\sigma\right)^3}\right]
\qquad r < r_c
$$
\end{document}

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@ -13,6 +13,8 @@
</H3> </H3>
<H3>fix wall/lj126 command <H3>fix wall/lj126 command
</H3> </H3>
<H3>fix wall/lj1043 command
</H3>
<H3>fix wall/colloid command <H3>fix wall/colloid command
</H3> </H3>
<H3>fix wall/harmonic command <H3>fix wall/harmonic command
@ -23,7 +25,7 @@
</PRE> </PRE>
<UL><LI>ID, group-ID are documented in <A HREF = "fix.html">fix</A> command <UL><LI>ID, group-ID are documented in <A HREF = "fix.html">fix</A> command
<LI>style = <I>wall/lj93</I> or <I>wall/lj126</I> or <I>wall/colloid</I> or <I>wall/harmonic</I> <LI>style = <I>wall/lj93</I> or <I>wall/lj126</I> or <I>wall/lj1043</I> or <I>wall/colloid</I> or <I>wall/harmonic</I>
<LI>one or more face/arg pairs may be appended <LI>one or more face/arg pairs may be appended
@ -78,6 +80,10 @@ wall-particle interactions depends on the style.
</P> </P>
<CENTER><IMG SRC = "Eqs/pair_lj.jpg"> <CENTER><IMG SRC = "Eqs/pair_lj.jpg">
</CENTER> </CENTER>
<P>For style <I>wall/lj1043</I>, the energy E is given by the 10/4/3 potential:
</P>
<CENTER><IMG SRC = "Eqs/fix_wall_lj1043.jpg">
</CENTER>
<P>For style <I>wall/colloid</I>, the energy E is given by an integrated form <P>For style <I>wall/colloid</I>, the energy E is given by an integrated form
of the <A HREF = "pair_colloid.html">pair_style colloid</A> potential: of the <A HREF = "pair_colloid.html">pair_style colloid</A> potential:
</P> </P>
@ -115,16 +121,18 @@ can specify formulas with various mathematical functions, and include
box parameters and timestep and elapsed time. Thus it is easy to box parameters and timestep and elapsed time. Thus it is easy to
specify a time-dependent wall position. See examples below. specify a time-dependent wall position. See examples below.
</P> </P>
<P>For the <I>wall/lj93</I> and <I>wall/lj126</I> styles, <I>epsilon</I> and <I>sigma</I> are <P>For the <I>wall/lj93</I> and <I>wall/lj126</I> and <I>wall/lj1043</I> styles,
the usual Lennard-Jones parameters, which determine the strength and <I>epsilon</I> and <I>sigma</I> are the usual Lennard-Jones parameters, which
size of the particle as it interacts with the wall. Epsilon has determine the strength and size of the particle as it interacts with
energy units. Note that this <I>epsilon</I> and <I>sigma</I> may be different the wall. Epsilon has energy units. Note that this <I>epsilon</I> and
than any <I>epsilon</I> or <I>sigma</I> values defined for a pair style that <I>sigma</I> may be different than any <I>epsilon</I> or <I>sigma</I> values defined
computes particle-particle interactions. for a pair style that computes particle-particle interactions.
</P> </P>
<P>The <I>wall/lj93</I> interaction is derived by integrating over a 3d <P>The <I>wall/lj93</I> interaction is derived by integrating over a 3d
half-lattice of Lennard-Jones 12/6 particles. The <I>wall/lj126</I> half-lattice of Lennard-Jones 12/6 particles. The <I>wall/lj126</I>
interaction is effectively a harder, more repulsive wall interaction. interaction is effectively a harder, more repulsive wall interaction.
The <I>wall/lj1043</I> interaction is yet a different form of wall
interaction, described in Magda et al in <A HREF = "#Magda">(Magda)</A>.
</P> </P>
<P>For the <I>wall/colloid</I> style, <I>R</I> is the radius of the colloid <P>For the <I>wall/colloid</I> style, <I>R</I> is the radius of the colloid
particle, <I>D</I> is the distance from the surface of the colloid particle particle, <I>D</I> is the distance from the surface of the colloid particle
@ -292,4 +300,10 @@ being minimized), you MUST enable the <A HREF = "fix_modify.html">fix_modify</A>
</P> </P>
<P>The option defaults units = lattice, fld = no, and pbc = no. <P>The option defaults units = lattice, fld = no, and pbc = no.
</P> </P>
<HR>
<A NAME = "Magda"></A>
<P><B>(Magda)</B> Magda, Tirrell, Davis, J Chem Phys, 83, 1888-1901 (1985).
</P>
</HTML> </HTML>

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@ -8,6 +8,7 @@
fix wall/lj93 command :h3 fix wall/lj93 command :h3
fix wall/lj126 command :h3 fix wall/lj126 command :h3
fix wall/lj1043 command :h3
fix wall/colloid command :h3 fix wall/colloid command :h3
fix wall/harmonic command :h3 fix wall/harmonic command :h3
@ -16,7 +17,7 @@ fix wall/harmonic command :h3
fix ID group-ID style face args ... keyword value ... :pre fix ID group-ID style face args ... keyword value ... :pre
ID, group-ID are documented in "fix"_fix.html command :ulb,l ID, group-ID are documented in "fix"_fix.html command :ulb,l
style = {wall/lj93} or {wall/lj126} or {wall/colloid} or {wall/harmonic} :l style = {wall/lj93} or {wall/lj126} or {wall/lj1043} or {wall/colloid} or {wall/harmonic} :l
one or more face/arg pairs may be appended :l one or more face/arg pairs may be appended :l
face = {xlo} or {xhi} or {ylo} or {yhi} or {zlo} or {zhi} :l face = {xlo} or {xhi} or {ylo} or {yhi} or {zlo} or {zhi} :l
args = coord epsilon sigma cutoff args = coord epsilon sigma cutoff
@ -64,6 +65,10 @@ For style {wall/lj126}, the energy E is given by the 12/6 potential:
:c,image(Eqs/pair_lj.jpg) :c,image(Eqs/pair_lj.jpg)
For style {wall/lj1043}, the energy E is given by the 10/4/3 potential:
:c,image(Eqs/fix_wall_lj1043.jpg)
For style {wall/colloid}, the energy E is given by an integrated form For style {wall/colloid}, the energy E is given by an integrated form
of the "pair_style colloid"_pair_colloid.html potential: of the "pair_style colloid"_pair_colloid.html potential:
@ -101,16 +106,18 @@ can specify formulas with various mathematical functions, and include
box parameters and timestep and elapsed time. Thus it is easy to box parameters and timestep and elapsed time. Thus it is easy to
specify a time-dependent wall position. See examples below. specify a time-dependent wall position. See examples below.
For the {wall/lj93} and {wall/lj126} styles, {epsilon} and {sigma} are For the {wall/lj93} and {wall/lj126} and {wall/lj1043} styles,
the usual Lennard-Jones parameters, which determine the strength and {epsilon} and {sigma} are the usual Lennard-Jones parameters, which
size of the particle as it interacts with the wall. Epsilon has determine the strength and size of the particle as it interacts with
energy units. Note that this {epsilon} and {sigma} may be different the wall. Epsilon has energy units. Note that this {epsilon} and
than any {epsilon} or {sigma} values defined for a pair style that {sigma} may be different than any {epsilon} or {sigma} values defined
computes particle-particle interactions. for a pair style that computes particle-particle interactions.
The {wall/lj93} interaction is derived by integrating over a 3d The {wall/lj93} interaction is derived by integrating over a 3d
half-lattice of Lennard-Jones 12/6 particles. The {wall/lj126} half-lattice of Lennard-Jones 12/6 particles. The {wall/lj126}
interaction is effectively a harder, more repulsive wall interaction. interaction is effectively a harder, more repulsive wall interaction.
The {wall/lj1043} interaction is yet a different form of wall
interaction, described in Magda et al in "(Magda)"_#Magda.
For the {wall/colloid} style, {R} is the radius of the colloid For the {wall/colloid} style, {R} is the radius of the colloid
particle, {D} is the distance from the surface of the colloid particle particle, {D} is the distance from the surface of the colloid particle
@ -277,3 +284,8 @@ being minimized), you MUST enable the "fix_modify"_fix_modify.html
[Default:] [Default:]
The option defaults units = lattice, fld = no, and pbc = no. The option defaults units = lattice, fld = no, and pbc = no.
:line
:link(Magda)
[(Magda)] Magda, Tirrell, Davis, J Chem Phys, 83, 1888-1901 (1985).