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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>fix bond/swap command
</H3>
<P><B>Syntax:</B>
</P>
<PRE>fix ID group-ID bond/swap Nevery fraction cutoff seed
</PRE>
<UL><LI>ID, group-ID are documented in <A HREF = "fix.html">fix</A> command
<LI>bond/swap = style name of this fix command
<LI>Nevery = attempt bond swapping every this many steps
<LI>fraction = fraction of group atoms to consider for swapping
<LI>cutoff = distance at which swapping will be considered (distance units)
<LI>seed = random # seed (positive integer)
</UL>
<P><B>Examples:</B>
</P>
<PRE>fix 1 all bond/swap 50 0.5 1.3 598934
</PRE>
<P><B>Description:</B>
</P>
<P>In a simulation of polymer chains, this command attempts to swap bonds
between two different chains, effectively grafting the end of one
chain onto another chain and vice versa. This is done via Monte Carlo
rules using the Boltzmann acceptance criterion. The purpose is to
equilibrate the polymer chain conformations more rapidly than dynamics
alone would do it, by enabling instantaneous large conformational
changes in a dense polymer melt. The polymer chains should thus more
rapidly converge to the proper end-to-end distances and radii of
gyration. It is designed for use with systems of
<A HREF = "bond_fene.html">FENE</A> or <A HREF = "bond_harmonic.html">harmonic</A> bead-spring
polymer chains where each polymer is a linear chain of monomers, but
LAMMPS does not enforce this requirement, i.e. any
<A HREF = "bond_style.html">bond_style</A> can be used.
</P>
<P>A schematic of the kinds of bond swaps that can occur is shown here:
</P>
<CENTER><IMG SRC = "JPG/bondswap.jpg">
</CENTER>
<P>On the left, the red and blue chains have two monomers A1 and B1 close
to each other, which are currently bonded to monomers A2 and B2
respectively within their own chains. The bond swap operation will
attempt to delete the A1-A2 and B1-B2 bonds and replace them with
A1-B2 and B1-A2 bonds. If the swap is energetically favorable, the
two chains on the right are the result and each polymer chain has
undergone a dramatic conformational change. This reference,
<A HREF = "#Sides">(Sides)</A> provides more details on how the algorithm works and
its application:
</P>
<P>The bond swapping operation is invoked every <I>Nevery</I> timesteps. If
any bond is swapped, a re-build of the neighbor lists is triggered,
since a swap alters the list of which neighbors are considered for
pairwise interaction. At each invocation, each processor considers a
random specified <I>fraction</I> of its atoms as potential swapping
monomers for this timestep. Choosing a small <I>fraction</I> value can
reduce the likelihood of a reverse swap occurring soon after an
initial swap.
</P>
<P>For each monomer A1, its neighbors are examined to find a possible B1
monomer. Both A1 and B1 must be in the fix group, their separation
must be less than the specified <I>cutoff</I>, and the molecule IDs of A1
and B1 must be the same (see below). If a suitable partner is found,
the energy change due to swapping the 2 bonds is computed. This
includes changes in pairwise, bond, and angle energies due to the
altered connectivity of the 2 chains. Dihedral and improper
interactions are not allowed to be defined when this fix is used.
</P>
<P>If the energy decreases due to the swap operation, the bond swap is
accepted. If the energy increases it is accepted with probability
exp(-delta/kT) where delta is the increase in energy, k is the
Boltzmann constant, and T is the current temperature of the system.
Whether the swap is accepted or rejected, no other swaps are attempted
by this processor on this timestep.
</P>
<P>The criterion for matching molecule IDs is how bond swaps performed by
this fix conserve chain length. To use this features you must setup
the molecule IDs for your polymer chains in a certain way, typically
in the data file, read by the <A HREF = "read_data.html">read_data</A> comand.
Consider a system of 6-mer chains. You have 2 choices. If the
molecule IDs for monomers on each chain are set to 1,2,3,4,5,6 then
swaps will conserve chain length. For a particular momoner there will
be only one other monomer on another chain which is a potential swap
partner. If the molecule IDs for monomers on each chain are set to
1,2,3,3,2,1 then swaps will conserve chain length but swaps will be
able to occur at either end of a chain. Thus for a particular monomer
there will be 2 possible swap partners on another chain. In this
scenario, swaps can also occur within a single chain, i.e. the two
ends of a chain swap with each other.
</P>
<P>IMPORTANT NOTE: If your simulation uses molecule IDs in the usual way,
where all monomers on a single chain are assigned the same ID
(different for each chain), then swaps will only occur within the same
chain. If you assign the same molecule ID to all monomers in all
chains then inter-chain swaps will occur, but they will not conserve
chain length. Neither of these scenarios is probably what you want
for this fix.
</P>
<P>IMPORTANT NOTE: When a bond swap occurs the image flags of monomers in
the new polymer chains can become inconsistent. See the
<A HREF = "dump.html">dump</A> command for a discussion of image flags. This is not
an issue for running dynamics, but can affect calculation of some
diagnostic quantities or the printing of unwrapped coordinates to a
dump file.
</P>
<HR>
<P>This fix computes a temperature each time it is invoked for use by the
Boltzmann criterion. To do this, the fix creates its own compute of
style <I>temp</I>, as if this command had been issued:
</P>
<PRE>compute fix-ID_temp all temp
</PRE>
<P>See the <A HREF = "compute_temp.html">compute temp</A> command for details. Note
that the ID of the new compute is the fix-ID with underscore + "temp"
appended and the group for the new compute is "all", so that the
temperature of the entire system is used.
</P>
<P>Note that this is NOT the compute used by thermodynamic output (see
the <A HREF = "thermo_style.html">thermo_style</A> command) with ID = <I>thermo_temp</I>.
This means you can change the attributes of this fix's temperature
(e.g. its degrees-of-freedom) via the
<A HREF = "compute_modify.html">compute_modify</A> command or print this temperature
during thermodyanmic output via the <A HREF = "thermo_style.html">thermo_style
custom</A> command using the appropriate compute-ID.
It also means that changing attributes of <I>thermo_temp</I> will have no
effect on this fix.
</P>
<HR>
<P><B>Restart, fix_modify, thermo output, run start/stop, minimize info:</B>
</P>
<P>No information about this fix is written to <A HREF = "restart.html">binary restart
files</A>. Because the state of the random number generator
is not saved in restart files, this means you cannot do "exact"
restarts with this fix, where the simulation continues on the same as
if no restart had taken place. However, in a statistical sense, a
restarted simulation should produce the same behavior. Also note that
each processor generates possible swaps independently of other
processors. Thus if you repeat the same simulation on a different number
of processors, the specific swaps performed will be different.
</P>
<P>The <A HREF = "fix_modify.html">fix_modify</A> <I>temp</I> option is supported by this
fix. You can use it to assign a <A HREF = "compute.html">compute</A> you have
defined to this fix which will be used to compute the temperature for
the Boltzmann criterion.
</P>
<P>This fix computes two statistical quantities as a global 2-vector of
output, which can be accessed by various <A HREF = "Section_howto.html#howto_15">output
commands</A>. The first component of the
vector is the cummulative number of swaps performed by all processors.
The second component of the vector is the cummulative number of swaps
attempted (whether accepted or rejected). Note that a swap "attempt"
only occurs when swap partners meeting the criteria described above
are found on a particular timestep. The vector values calculated by
this fix are "intensive".
</P>
<P>No parameter of this fix can be used with the <I>start/stop</I> keywords of
the <A HREF = "run.html">run</A> command. This fix is not invoked during <A HREF = "minimize.html">energy
minimization</A>.
</P>
<P><B>Restrictions:</B>
</P>
<P>This fix is part of the MC package. It is only enabled if LAMMPS was
built with that package. See the <A HREF = "Section_start.html#start_3">Making
LAMMPS</A> section for more info.
</P>
<P>The setings of the "special_bond" command must be 0,1,1 in order to
use this fix, which is typical of bead-spring chains with FENE or
harmonic bonds. This means that pairwise interactions between bonded
atoms are turned off, but are turned on between atoms two or three
hops away along the chain backbone.
</P>
<P>Currently, energy changes in dihedral and improper interactions due to
a bond swap are not considered. Thus a simulation that uses this fix
cannot use a dihedral or improper potential.
</P>
<P><B>Related commands:</B>
</P>
<P><A HREF = "fix_atom_swap.html">fix atom/swap</A>
</P>
<P><B>Default:</B> none
</P>
<HR>
<A NAME = "Sides"></A>
<P><B>(Sides)</B> Sides, Grest, Stevens, Plimpton, J Polymer Science B, 42,
199-208 (2004).
</P>
</HTML>

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