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\documentstyle[12pt]{article}
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\begin{document}
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$$
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E = 2 \pi \epsilon \left[ \frac{2}{5} \left(\frac{\sigma}{r}\right)^{10} -
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\left(\frac{\sigma}{r}\right)^4 -
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\frac{\sqrt(2)\sigma^3}{3\left(r+\left(0.61/\sqrt(2)\right)\sigma\right)^3}\right]
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\qquad r < r_c
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$$
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\end{document}
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@ -13,6 +13,8 @@
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</H3>
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<H3>fix wall/lj126 command
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</H3>
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<H3>fix wall/lj1043 command
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</H3>
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<H3>fix wall/colloid command
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</H3>
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<H3>fix wall/harmonic command
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@ -23,7 +25,7 @@
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</PRE>
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<UL><LI>ID, group-ID are documented in <A HREF = "fix.html">fix</A> command
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<LI>style = <I>wall/lj93</I> or <I>wall/lj126</I> or <I>wall/colloid</I> or <I>wall/harmonic</I>
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<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>
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<LI>one or more face/arg pairs may be appended
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@ -78,6 +80,10 @@ wall-particle interactions depends on the style.
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</P>
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<CENTER><IMG SRC = "Eqs/pair_lj.jpg">
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</CENTER>
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<P>For style <I>wall/lj1043</I>, the energy E is given by the 10/4/3 potential:
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</P>
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<CENTER><IMG SRC = "Eqs/fix_wall_lj1043.jpg">
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</CENTER>
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<P>For style <I>wall/colloid</I>, the energy E is given by an integrated form
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of the <A HREF = "pair_colloid.html">pair_style colloid</A> potential:
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</P>
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@ -115,16 +121,18 @@ can specify formulas with various mathematical functions, and include
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box parameters and timestep and elapsed time. Thus it is easy to
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specify a time-dependent wall position. See examples below.
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</P>
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<P>For the <I>wall/lj93</I> and <I>wall/lj126</I> styles, <I>epsilon</I> and <I>sigma</I> are
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the usual Lennard-Jones parameters, which determine the strength and
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size of the particle as it interacts with the wall. Epsilon has
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energy units. Note that this <I>epsilon</I> and <I>sigma</I> may be different
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than any <I>epsilon</I> or <I>sigma</I> values defined for a pair style that
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computes particle-particle interactions.
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<P>For the <I>wall/lj93</I> and <I>wall/lj126</I> and <I>wall/lj1043</I> styles,
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<I>epsilon</I> and <I>sigma</I> are the usual Lennard-Jones parameters, which
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determine the strength and size of the particle as it interacts with
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the wall. Epsilon has energy units. Note that this <I>epsilon</I> and
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<I>sigma</I> may be different than any <I>epsilon</I> or <I>sigma</I> values defined
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for a pair style that computes particle-particle interactions.
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</P>
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<P>The <I>wall/lj93</I> interaction is derived by integrating over a 3d
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half-lattice of Lennard-Jones 12/6 particles. The <I>wall/lj126</I>
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interaction is effectively a harder, more repulsive wall interaction.
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The <I>wall/lj1043</I> interaction is yet a different form of wall
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interaction, described in Magda et al in <A HREF = "#Magda">(Magda)</A>.
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</P>
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<P>For the <I>wall/colloid</I> style, <I>R</I> is the radius of the colloid
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particle, <I>D</I> is the distance from the surface of the colloid particle
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@ -292,4 +300,10 @@ being minimized), you MUST enable the <A HREF = "fix_modify.html">fix_modify</A>
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</P>
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<P>The option defaults units = lattice, fld = no, and pbc = no.
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</P>
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<HR>
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<A NAME = "Magda"></A>
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<P><B>(Magda)</B> Magda, Tirrell, Davis, J Chem Phys, 83, 1888-1901 (1985).
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</P>
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</HTML>
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@ -8,6 +8,7 @@
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fix wall/lj93 command :h3
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fix wall/lj126 command :h3
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fix wall/lj1043 command :h3
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fix wall/colloid command :h3
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fix wall/harmonic command :h3
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@ -16,7 +17,7 @@ fix wall/harmonic command :h3
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fix ID group-ID style face args ... keyword value ... :pre
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ID, group-ID are documented in "fix"_fix.html command :ulb,l
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style = {wall/lj93} or {wall/lj126} or {wall/colloid} or {wall/harmonic} :l
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style = {wall/lj93} or {wall/lj126} or {wall/lj1043} or {wall/colloid} or {wall/harmonic} :l
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one or more face/arg pairs may be appended :l
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face = {xlo} or {xhi} or {ylo} or {yhi} or {zlo} or {zhi} :l
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args = coord epsilon sigma cutoff
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:c,image(Eqs/pair_lj.jpg)
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For style {wall/lj1043}, the energy E is given by the 10/4/3 potential:
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:c,image(Eqs/fix_wall_lj1043.jpg)
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For style {wall/colloid}, the energy E is given by an integrated form
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of the "pair_style colloid"_pair_colloid.html potential:
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@ -101,16 +106,18 @@ can specify formulas with various mathematical functions, and include
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box parameters and timestep and elapsed time. Thus it is easy to
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specify a time-dependent wall position. See examples below.
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For the {wall/lj93} and {wall/lj126} styles, {epsilon} and {sigma} are
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the usual Lennard-Jones parameters, which determine the strength and
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size of the particle as it interacts with the wall. Epsilon has
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energy units. Note that this {epsilon} and {sigma} may be different
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than any {epsilon} or {sigma} values defined for a pair style that
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computes particle-particle interactions.
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For the {wall/lj93} and {wall/lj126} and {wall/lj1043} styles,
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{epsilon} and {sigma} are the usual Lennard-Jones parameters, which
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determine the strength and size of the particle as it interacts with
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the wall. Epsilon has energy units. Note that this {epsilon} and
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{sigma} may be different than any {epsilon} or {sigma} values defined
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for a pair style that computes particle-particle interactions.
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The {wall/lj93} interaction is derived by integrating over a 3d
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half-lattice of Lennard-Jones 12/6 particles. The {wall/lj126}
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interaction is effectively a harder, more repulsive wall interaction.
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The {wall/lj1043} interaction is yet a different form of wall
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interaction, described in Magda et al in "(Magda)"_#Magda.
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For the {wall/colloid} style, {R} is the radius of the colloid
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particle, {D} is the distance from the surface of the colloid particle
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@ -277,3 +284,8 @@ being minimized), you MUST enable the "fix_modify"_fix_modify.html
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[Default:]
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The option defaults units = lattice, fld = no, and pbc = no.
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:line
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:link(Magda)
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[(Magda)] Magda, Tirrell, Davis, J Chem Phys, 83, 1888-1901 (1985).
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