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@ -83,8 +83,8 @@ energy. Therefore, this compute can apply perturbations to interaction
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parameters that are not directly proportional to the potential energy
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(e.g. σ in Lennard-Jones potentials).
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</P>
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<P>This command can be combined with <A HREF = "fix_adapt.html">fix adapt</A> to
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perform multistage free-energy perturbation calculations along
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<P>This command can be combined with <A HREF = "fix_adapt_fep.html">fix adapt/fep</A>
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to perform multistage free-energy perturbation calculations along
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stepwise alchemical transformations during a simulation run:
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</P>
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<CENTER><IMG SRC = "Eqs/compute_fep_fep.jpg">
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@ -96,9 +96,9 @@ perturbation method using a very small δ:
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</P>
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<CENTER><IMG SRC = "Eqs/compute_fep_fdti.jpg">
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</CENTER>
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<P>where <I>w</I><sub>i</sub> are weights of a numerical quadrature. The <A HREF = "fix_adapt.html">fix
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adapt</A> command can be used to define the stages of
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λ at which the derivative is calculated and averaged.
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<P>where <I>w</I><sub>i</sub> are weights of a numerical quadrature. The <A HREF = "fix_adapt_fep.html">fix
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adapt/fep</A> command can be used to define the stages
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of λ at which the derivative is calculated and averaged.
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</P>
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<P>The compute fep calculates the exponential Boltzmann term and also the
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potential energy difference <I>U</I><sub>1</sub>-<I>U</I><sub>0</sub>. By
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@ -72,8 +72,8 @@ energy. Therefore, this compute can apply perturbations to interaction
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parameters that are not directly proportional to the potential energy
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(e.g. σ in Lennard-Jones potentials).
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This command can be combined with "fix adapt"_fix_adapt.html to
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perform multistage free-energy perturbation calculations along
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This command can be combined with "fix adapt/fep"_fix_adapt_fep.html
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to perform multistage free-energy perturbation calculations along
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stepwise alchemical transformations during a simulation run:
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:c,image(Eqs/compute_fep_fep.jpg)
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@ -86,8 +86,8 @@ perturbation method using a very small δ:
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:c,image(Eqs/compute_fep_fdti.jpg)
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where {w}<sub>i</sub> are weights of a numerical quadrature. The "fix
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adapt"_fix_adapt.html command can be used to define the stages of
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λ at which the derivative is calculated and averaged.
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adapt/fep"_fix_adapt_fep.html command can be used to define the stages
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of λ at which the derivative is calculated and averaged.
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The compute fep calculates the exponential Boltzmann term and also the
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potential energy difference {U}<sub>1</sub>-{U}<sub>0</sub>. By
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@ -109,20 +109,20 @@ pair_coeff 1 1 1.0 9.5
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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/cut/soft</I> style and substyles compute the 12/6
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Lennard-Jones and Coulomb potential modified by a soft core, in order
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to avoid singularities during free energy calculations when sites are
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created or anihilated <A HREF = "#Beutler">(Beutler)</A>,
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<P>The <I>lj/cut/soft</I> style and substyles compute the 12/6 Lennard-Jones
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and Coulomb potential modified by a soft core, in order to avoid
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singularities during free energy calculations when sites are created
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or anihilated <A HREF = "#Beutler">(Beutler)</A>.
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</P>
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<CENTER><IMG SRC = "Eqs/pair_lj_soft.jpg">
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</CENTER>
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<P>Coulomb interactions are also damped with a soft core at short
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distance,
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distance as
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</P>
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<CENTER><IMG SRC = "Eqs/pair_coul_soft.jpg">
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</CENTER>
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<P>In the Coulomb part C is an energy-conversion constant, q_i and q_j are
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the charges on the 2 atoms, and epsilon is the dielectric constant
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<P>In the Coulomb part C is an energy-conversion constant, q_i and q_j
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are the charges on the 2 atoms, and epsilon is the dielectric constant
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which can be set by the <A HREF = "dielectric.html">dielectric</A> command.
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</P>
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<P>The coefficient lambda is an activation parameter. When lambda = 1 the
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@ -138,7 +138,7 @@ when sites are created or anihilated and can overlap
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choices for the exponent are n = 2 or n = 1. For the remaining
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coefficients alpha_LJ = 0.5 and alpha_C = 10 Angstrom^2 are
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appropriate choices. Plots of the LJ and Coulomb terms are shown
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below, for lambda ranging from 1 ro 0 every 0.1.
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below, for lambda ranging from 1 ro 0 every 0.1.
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</P>
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<CENTER><IMG SRC = "JPG/lj_soft.jpg"><IMG SRC = "JPG/coul_soft.jpg">
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</CENTER>
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@ -236,8 +236,8 @@ for example, or else use the <I>coul/long/soft</I> or similar substyle.
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</P>
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<P>All of the plain <I>soft</I> pair styles are part of the USER-FEP package.
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The <I>long</I> styles also requires the KSPACE package to be installed.
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They are only enabled if LAMMPS was built with that package.
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See the <A HREF = "Section_start.html#start_3">Making LAMMPS</A> section for more info.
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They are only enabled if LAMMPS was built with those packages. See
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the <A HREF = "Section_start.html#start_3">Making LAMMPS</A> section for more info.
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</P>
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<P><B>Related commands:</B>
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</P>
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@ -92,20 +92,20 @@ pair_coeff 1 1 1.0 9.5 :pre
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[Description:]
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The {lj/cut/soft} style and substyles compute the 12/6
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Lennard-Jones and Coulomb potential modified by a soft core, in order
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to avoid singularities during free energy calculations when sites are
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created or anihilated "(Beutler)"_#Beutler,
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The {lj/cut/soft} style and substyles compute the 12/6 Lennard-Jones
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and Coulomb potential modified by a soft core, in order to avoid
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singularities during free energy calculations when sites are created
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or anihilated "(Beutler)"_#Beutler.
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:c,image(Eqs/pair_lj_soft.jpg)
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Coulomb interactions are also damped with a soft core at short
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distance,
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distance as
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:c,image(Eqs/pair_coul_soft.jpg)
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In the Coulomb part C is an energy-conversion constant, q_i and q_j are
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the charges on the 2 atoms, and epsilon is the dielectric constant
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In the Coulomb part C is an energy-conversion constant, q_i and q_j
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are the charges on the 2 atoms, and epsilon is the dielectric constant
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which can be set by the "dielectric"_dielectric.html command.
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The coefficient lambda is an activation parameter. When lambda = 1 the
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@ -121,7 +121,7 @@ The paratemers n, alpha_LJ and alpha_C are set in the
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choices for the exponent are n = 2 or n = 1. For the remaining
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coefficients alpha_LJ = 0.5 and alpha_C = 10 Angstrom^2 are
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appropriate choices. Plots of the LJ and Coulomb terms are shown
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below, for lambda ranging from 1 ro 0 every 0.1.
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below, for lambda ranging from 1 ro 0 every 0.1.
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:c,image(JPG/lj_soft.jpg),image(JPG/coul_soft.jpg)
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@ -219,8 +219,8 @@ for example, or else use the {coul/long/soft} or similar substyle.
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All of the plain {soft} pair styles are part of the USER-FEP package.
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The {long} styles also requires the KSPACE package to be installed.
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They are only enabled if LAMMPS was built with that package.
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See the "Making LAMMPS"_Section_start.html#start_3 section for more info.
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They are only enabled if LAMMPS was built with those packages. See
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the "Making LAMMPS"_Section_start.html#start_3 section for more info.
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[Related commands:]
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