lammps/doc/angle_dipole.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>
</CENTER>
<HR>
<H3>angle_style dipole command
</H3>
<P><B>Syntax:</B>
</P>
<PRE>angle_style dipole
</PRE>
<P><B>Examples:</B>
</P>
<PRE>angle_style dipole
angle_coeff 6 2.1 180.0
</PRE>
<P><B>Description:</B>
</P>
<P>The <I>dipole</I> angle style is used to control the orientation of a dipolar
atom within a molecule <A HREF = "#Orsi">(Orsi)</A>. Specifically, the <I>dipole</I> angle
style restrains the orientation of a point dipole mu_j (embedded in atom
'j') with respect to a reference (bond) vector r_ij = r_i - r_j, where 'i'
is another atom of the same molecule (typically, 'i' and 'j' are also
covalently bonded).
</P>
<P>It is convenient to define an angle gamma between the 'free' vector mu_j
and the reference (bond) vector r_ij:
</P>
<CENTER><IMG SRC = "Eqs/angle_dipole_gamma.jpg">
</CENTER>
<P>The <I>dipole</I> angle style uses the potential:
</P>
<CENTER><IMG SRC = "Eqs/angle_dipole_potential.jpg">
</CENTER>
<P>where K is a rigidity constant and gamma0 is an equilibrium (reference)
angle.
</P>
<P>The torque on the dipole can be obtained by differentiating the
potential using the 'chain rule' as in appendix C.3 of
<A HREF = "#Allen">(Allen)</A>:
</P>
<CENTER><IMG SRC = "Eqs/angle_dipole_torque.jpg">
</CENTER>
<P>Example: if gamma0 is set to 0 degrees, the torque generated by
the potential will tend to align the dipole along the reference
direction defined by the (bond) vector r_ij (in other words, mu_j is
restrained to point towards atom 'i').
</P>
<P>Note that the angle dipole potential does not give rise to any force,
because it does not depend on the distance between i and j (it only
depends on the angle between mu_j and r_ij).
</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>K (energy)
<LI>gamma0 (degrees)
</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#2_3">Making LAMMPS</A>
section for more info on packages.
</P>
<P>IMPORTANT: In the "Angles" section of the data file, the atom id 'j'
corresponding to the dipole to restrain must come before the atom id
of the reference atom 'i'. A third atom id 'k' must also be provided,
although 'k' is just a 'dummy' atom which can be any atom; it may be
useful to choose a convention (e.g., 'k'='i') and adhere to it. For
example, if id=1 for the dipolar atom to restrain, and id=2 for the
reference atom, the corresponding line in the "Angles" section of the
data file would read: X X 1 2 2
</P>
<P>The "newton" command for intramolecular interactions must be "on"
(which is the default).
</P>
<P>This angle style should not be used with SHAKE.
</P>
<P><B>Related commands:</B>
</P>
<P><A HREF = "angle_coeff.html">angle_coeff</A>, <A HREF = "angle_hybrid.html">angle_hybrid</A>
</P>
<P><B>Default:</B> none
</P>
<HR>
<A NAME = "Orsi"></A>
<P><B>(Orsi)</B> Orsi & Essex, The ELBA force field for coarse-grain modeling of
lipid membranes, PloS ONE 6(12): e28637, 2011.
</P>
<A NAME = "Allen"></A>
<P><B>(Allen)</B> Allen & Tildesley, Computer Simulation of Liquids,
Clarendon Press, Oxford, 1987.
</P>
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