forked from lijiext/lammps
Fixed error in lj/gromacs
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@ -7,8 +7,8 @@ E_{LJ} & = & 4 \epsilon \left[ \left(\frac{\sigma}{r}\right)^{12} -
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\left(\frac{\sigma}{r}\right)^6 \right] + S_{LJ}(r)
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\qquad r < r_c \\
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E_C & = & \frac{C q_i q_j}{\epsilon r} + S_C(r) \qquad r < r_c \\
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S(r) & = & 0 \qquad r < r_1 \\
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S(r) & = & A (r - r_1)^2 + B (r - r_1)^3 \qquad r_1 < r < r_c
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S(r) & = & C \qquad r < r_1 \\
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S(r) & = & \frac{A}{3} (r - r_1)^3 + \frac{B}{4} (r - r_1)^4 + C \qquad r_1 < r < r_c
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\end{eqnarray*}
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\end{document}
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@ -42,23 +42,24 @@ pair_coeff * * 100.0 2.0
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</PRE>
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<P><B>Description:</B>
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</P>
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<P>The <I>lj/gromacs</I> styles compute LJ and Coulombic interactions with an
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additional switching function S(r) that ramps the energy and force
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<P>The <I>lj/gromacs</I> styles compute shifted LJ and Coulombic interactions
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with an additional switching function S(r) that ramps the energy and force
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smoothly to zero between an inner and outer cutoff. It is a commonly
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used potential in the <A HREF = "http://www.gromacs.org">GROMACS</A> MD code and for
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the coarse-grained models of <A HREF = "#Marrink">(Marrink)</A>.
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</P>
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<CENTER><IMG SRC = "Eqs/pair_gromacs.jpg">
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</CENTER>
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<P>R1 is the inner cutoff; Rc is the outer cutoff. The coefficients A
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and B are computed by LAMMPS to perform the smoothing. The function
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<P>R1 is the inner cutoff; Rc is the outer cutoff. The coefficients A, B,
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and C are computed by LAMMPS to perform the shifting and smoothing.
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The function
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S(r) is actually applied once to each term of the LJ formula and once
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to the Coulombic formula, so there are 2 or 3 sets of A,B coefficients
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to the Coulombic formula, so there are 2 or 3 sets of A,B,C coefficients
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depending on which pair_style is used. The boundary conditions
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applied to the smoothing function are as follows: S(r1) = S'(r1) = 0,
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S(rc) = -F(rc), S'(rc) = -F'(rc), where F(r) is the correpsonding term
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in the LJ or Coulombic function and a single quote represents a
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derivative with respect to r.
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S(rc) = -F(rc), S'(rc) = -F'(rc), where F(r) is the corresponding term
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in the LJ or Coulombic potential energy function and a
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single quote represents a derivative with respect to r.
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</P>
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<P>The inner and outer cutoff for the LJ and Coulombic terms can be the
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same or different depending on whether 2 or 4 arguments are used in
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@ -35,23 +35,24 @@ pair_coeff * * 100.0 2.0 :pre
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[Description:]
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The {lj/gromacs} styles compute LJ and Coulombic interactions with an
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additional switching function S(r) that ramps the energy and force
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The {lj/gromacs} styles compute shifted LJ and Coulombic interactions
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with an additional switching function S(r) that ramps the energy and force
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smoothly to zero between an inner and outer cutoff. It is a commonly
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used potential in the "GROMACS"_http://www.gromacs.org MD code and for
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the coarse-grained models of "(Marrink)"_#Marrink.
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:c,image(Eqs/pair_gromacs.jpg)
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R1 is the inner cutoff; Rc is the outer cutoff. The coefficients A
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and B are computed by LAMMPS to perform the smoothing. The function
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R1 is the inner cutoff; Rc is the outer cutoff. The coefficients A, B,
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and C are computed by LAMMPS to perform the shifting and smoothing.
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The function
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S(r) is actually applied once to each term of the LJ formula and once
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to the Coulombic formula, so there are 2 or 3 sets of A,B coefficients
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to the Coulombic formula, so there are 2 or 3 sets of A,B,C coefficients
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depending on which pair_style is used. The boundary conditions
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applied to the smoothing function are as follows: S(r1) = S'(r1) = 0,
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S(rc) = -F(rc), S'(rc) = -F'(rc), where F(r) is the correpsonding term
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in the LJ or Coulombic function and a single quote represents a
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derivative with respect to r.
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S(rc) = -F(rc), S'(rc) = -F'(rc), where F(r) is the corresponding term
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in the LJ or Coulombic potential energy function and a
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single quote represents a derivative with respect to r.
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The inner and outer cutoff for the LJ and Coulombic terms can be the
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same or different depending on whether 2 or 4 arguments are used in
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