lammps/doc/angle_cosine_shift_exp.html

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<CENTER><A HREF = "http://lammps.sandia.gov">LAMMPS WWW Site</A> - <A HREF = "Manual.html">LAMMPS Documentation</A> - <A HREF = "Section_commands.html#comm">LAMMPS Commands</A>
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<H3>angle_style cosine/shift/exp command
</H3>
<P><B>Syntax:</B>
</P>
<PRE>angle_style cosine/shift/exp
</PRE>
<P><B>Examples:</B>
</P>
<PRE>angle_style cosine/shift/exp
angle_coeff * 10.0 45.0 2.0
</PRE>
<P><B>Description:</B>
</P>
<P>The <I>cosine/shift/exp</I> angle style uses the potential
</P>
<CENTER><IMG SRC = "Eqs/angle_cosine_shift_exp.jpg">
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<P>where Umin, theta, and a are defined for each angle type.
</P>
<P>The potential is bounded between [-Umin:0] and the minimum is
located at the angle theta0. The a parameter can be both positive or
negative and is used to control the spring constant at the
equilibrium.
</P>
<P>The spring constant is given by k = A exp(A) Umin / [2 (Exp(a)-1)].
For a > 3, k/Umin = a/2 to better than 5% relative error. For negative
values of the a parameter, the spring constant is essentially zero,
and anharmonic terms takes over. The potential is furthermore well
behaved in the limit a -> 0, where it has been implemented to linear
order in a for a < 0.001. In this limit the potential reduces to the
cosineshifted potential.
</P>
<P>The following coefficients must be defined for each angle type via the
<A HREF = "angle_coeff.html">angle_coeff</A> command as in the example above, or in
the data file or restart files read by the <A HREF = "read_data.html">read_data</A>
or <A HREF = "read_restart.html">read_restart</A> commands:
</P>
<UL><LI>umin (energy)
<LI>theta (angle)
<LI>A (real number)
</UL>
<P><B>Restrictions:</B>
</P>
<P>This angle style can only be used if LAMMPS was built with the
USER-MISC package. See the <A HREF = "Section_start.html#start_3">Making LAMMPS</A>
section for more info on packages.
</P>
<P><B>Related commands:</B>
</P>
<P><A HREF = "angle_coeff.html">angle_coeff</A>,
<A HREF = "angle_cosineshift.html">angle_cosineshift</A>,
<A HREF = "dihedral_cosineshift.html">dihedral_cosineshift</A>
</P>
<P><B>Default:</B> none
</P>
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