2007-02-21 08:18:41 +08:00
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<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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<HR>
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<H3>fix ave/spatial command
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</H3>
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<P><B>Syntax:</B>
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</P>
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<PRE>fix ID group-ID ave/spatial Nevery Nrepeat Nfreq dim origin delta style arg keyword args ...
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</PRE>
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<UL><LI>ID, group-ID are documented in <A HREF = "fix.html">fix</A> command
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<LI>ave/spatial = style name of this fix command
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<LI>Nevery = calculate property every this many timesteps
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<LI>Nrepeat = # of times to repeat the Nevery calculation before averaging
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<LI>Nfreq = timestep frequency at which the average value is computed
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<LI>dim = <I>x</I> or <I>y</I> or <I>z</I>
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<LI>origin = <I>lower</I> or <I>center</I> or <I>upper</I> or coordinate value (distance units)
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<LI>delta = thickness of spatial layers in dim (distance units)
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2007-09-28 07:25:52 +08:00
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<LI>style = <I>density</I> or <I>compute</I> or <I>fix</I>
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<PRE> <I>density</I> arg = <I>mass</I> or <I>number</I>
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<I>mass</I> = calculate mass density
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<I>number</I> = calculate number density
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<I>compute</I> arg = compute-ID that stores or calculates per-atom quantities
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<I>fix</I> arg = fix-ID that stores or calculates per-atom quantities
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</PRE>
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<LI>zero or more keyword/arg pairs may be appended
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<LI>keyword = <I>norm</I> or <I>units</I> or <I>file</I> or <I>ave</I>
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<PRE> <I>units</I> arg = <I>box</I> or <I>lattice</I> or <I>reduced</I>
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<I>norm</I> arg = <I>all</I> or <I>sample</I>
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<I>file</I> arg = filename
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filename = file to write results to
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<I>ave</I> args = <I>one</I> or <I>running</I> or <I>window M</I>
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one = output new average value every Nfreq steps
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running = output cummulative average of all previous Nfreq steps
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window M = output average of M most recent Nfreq steps
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</PRE>
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</UL>
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<P><B>Examples:</B>
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</P>
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<PRE>fix 1 all ave/spatial 10000 1 10000 z lower 0.02 compute myCentro units reduced
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fix 1 flow ave/spatial 100 10 1000 y 0.0 1.0 compute Vx norm sample file vel.profile
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fix 1 flow ave/spatial 100 5 1000 y 0.0 2.5 density mass ave running
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</PRE>
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<P><B>Description:</B>
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</P>
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<P>Calculate one or more instantaneous per-atom quantities every few
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timesteps, average them by layer in a chosen dimension and over a
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longer timescale. The resulting averages can be used by other <A HREF = "Section_howto.html#4_15">output
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commands</A> such as <A HREF = "thermo_style.html">thermo_style
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custom</A>, and also written to a file.
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2007-10-15 23:07:59 +08:00
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</P>
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<P>This fix can be used to spatially average per-atom properties
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(velocity, force) or per-atom quantities calculated by a
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<A HREF = "compute.html">compute</A> (energy, stress) or by another fix (see the
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<A HREF = "fix_ave_atom.html">fix ave/atom</A> command) or by a variable via an
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equation you define (see the <A HREF = "compute_variable_atom.html">compute
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variable/atom</A> command).
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</P>
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<P>For style <I>density</I>, the number of atoms in each layer is counted,
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either by mass or by number. The <I>compute</I> style allows specification
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of a <A HREF = "compute.html">compute</A> which will be invoked to calculate the
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desired property. The compute can be previously defined in the input
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script or it can be a compute defined by a <A HREF = "dump.html">dump custom</A>
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command.
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</P>
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<P>For style <I>compute</I>, the fix ave/spatial command accesses the
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per-atom scalar or vector values stored by the compute. Thus it must
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be a "per-atom" compute with the word "atom" in its style name, rather
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than a "global" compute. See the <A HREF = "fix_ave_time.html">fix ave/time</A>
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command if you wish to time-average a global quantity calculated by a
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compute without the word atom in its style name, e.g. a compute that
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calculates a temperature or pressure.
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</P>
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<P>See the <A HREF = "compute.html">compute</A> command for a list of pre-defined
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per-atom computes. Two special computes of note are as follows. The
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<A HREF = "compute_attribute_atom.html">compute attribute/atom</A> command selects
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one or more atom attributes like vx or fz. The "compute
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variable/atom" style can calculate a value for an atom that can be
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specified by a <A HREF = "variable.html">variable atom</A> equation. Users can also
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write code for their own per-atom compute styles and <A HREF = "Section_modify.html">add them to
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LAMMPS</A>. Note that the <A HREF = "dump.html">dump custom</A>
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command can also be used to directly output quantities calculated by a
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per-atom compute in a per-atom fashion.
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</P>
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<P>For style <I>fix</I>, the fix ave/spatial command accesses the per-atom
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scalar or vector values stored by another fix. The <A HREF = "fix_ave_atom.html">fix
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ave/atom</A> command is an example of such a fix.
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</P>
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2007-10-19 06:27:53 +08:00
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<P>The <I>Nevery</I>, <I>Nrepeat</I>, and <I>Nfreq</I> arguments specify on what
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timesteps the per-atom property will be evaluated in order to
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contribute to the average. The final averaged values are computed
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every <I>Nfreq</I> timesteps. The average is over <I>Nrepeat</I> values,
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computed in the preceeding portion of the simulation every <I>Nevery</I>
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timesteps. <I>Nfreq</I> must be a multiple of <I>Nevery</I> and <I>Nevery</I> must
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be non-zero even if <I>Nrepeat</I> is 1.
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</P>
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<P>For example, if Nevery=2, Nrepeat=6, and Nfreq=100, then values on
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timesteps 90,92,94,96,98,100 will be used to compute the final average
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on timestep 100. Similary for timesteps 190,192,194,196,198,200 on
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timestep 200, etc.
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</P>
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<P>The per-atom property is also averaged over atoms in each layer, where
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the layers are in a particular <I>dim</I> and have a thickness given by
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<I>delta</I>. Every Nfreq steps, when an averaging is being performed and
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the per-atom property is calculated for the first time, the number of
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layers and the layer boundaries are computed. Thus if the simlation
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box changes size during a simulation, the number of layers and their
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boundaries may also change. Layers are defined relative to a
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specified <I>origin</I>, which may be the lower/upper edge of the box (in
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<I>dim</I>) or its center point, or a specified coordinate value. Starting
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at the origin, sufficient layers are created in both directions to
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completely cover the box. On subsequent timesteps every atom is
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mapped to one of the layers. Atoms beyond the lowermost/uppermost
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layer are counted in the first/last layer.
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</P>
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2007-06-27 05:53:15 +08:00
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<P>For orthogonal simulation boxes, the layers are "slices" aligned with
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the xyz coordinate axes. For non-orthogonal (triclinic) simulation
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boxes, the layers are "tilted slices" that are parallel to the tilted
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faces of the box. See the <A HREF = "region.html">region prism</A> command for a
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discussion of the geometry of tilted boxes in LAMMPS. As described
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there, a tilted simulation box has edge vectors a,b,c. In that
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nomenclature, layers in the x dimension have faces with normals in the
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"b" cross "c" direction. Layers in y have faces normal to the "a"
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cross "c" direction. And layers in z have faces normal to the "a"
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cross "b" direction. Note that in order to define the thickness and
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position of these tilted layers in an unambiguous fashion, the <I>units</I>
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option must be set to <I>reduced</I> when using a non-orthogonal simulation
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box, as discussed below.
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</P>
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<P>For the <I>compute</I> and <I>fix</I> keywords, the per-atom calculation
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performed by the compute or fix is on the group defined by that
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command. However, only atoms in the fix group are included in the
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layer averaging.
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</P>
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<P>Note that some computes perform costly calculations, involving the
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creation or use of neighbor lists. If the compute is invoked too
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often by fix ave/spatial, it can slow down a simulation.
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</P>
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<HR>
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<P>Additional optional keywords also affect the operation of this fix.
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2007-06-27 05:47:46 +08:00
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</P>
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<P>The <I>units</I> keyword determines the meaning of the distance units used
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for the layer thickness <I>delta</I> and for <I>origin</I> if it is a coordinate
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value. For orthogonal simulation boxes, any of the 3 options may be
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used. For non-orthogonal (triclinic) simulation boxes, only the
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<I>reduced</I> option may be used.
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</P>
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<P>A <I>box</I> value selects standard distance units as defined by the
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<A HREF = "units.html">units</A> command, e.g. Angstroms for units = real or metal.
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A <I>lattice</I> value means the distance units are in lattice spacings.
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The <A HREF = "lattice.html">lattice</A> command must have been previously used to
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define the lattice spacing. A <I>reduced</I> value means normalized
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unitless values between 0 and 1, which represent the lower and upper
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faces of the simulation box respectively. Thus an <I>origin</I> value of
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0.5 means the center of the box in any dimension. A <I>delta</I> value of
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0.1 means 10 layers span the box in any dimension.
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</P>
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<P>Consider a non-orthogonal box, with layers in the x dimension. No
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matter how the box is tilted, an <I>origin</I> of 0.0 means start layers at
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the lower "b" cross "c" plane of the simulation box and an <I>origin</I> of
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1.0 means to start layers at the upper "b" cross "c" face of the box.
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A <I>delta</I> value of 0.1 means there will be 10 layers from 0.0 to 1.0,
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regardless of the current size or shape of the simulation box.
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</P>
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<P>The <I>norm</I> keyword affects how time-averaging is done within for the
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output produced every <I>Nfreq</I> timesteps. For an <I>all</I> setting, a
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layer quantity is summed over all atoms in all <I>Nrepeat</I> samples, as
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is the count of atoms in the layer. The printed value for the layer
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is Total-quantity / Total-count. In other words it is an average over
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the entire <I>Nfreq</I> timescale.
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</P>
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<P>For a <I>sample</I> setting, the quantity is summed over atoms for only a
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single sample, as is the count, and a "average sample value" is
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computed, i.e. Sample-quantity / Sample-count. The printed value for
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the layer is the average of the <I>Nrepeat</I> "average sample values", In
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other words it is an average of an average.
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</P>
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<P>The <I>file</I> keyword allows a filename to be specified. Every <I>Nfreq</I>
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timesteps, layer info will be written to a text file in the following
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format. A line with the timestep and number of layers is written.
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Then one line per layer is written, containing the layer ID (1-N), the
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coordinate of the center of the layer, the number of atoms in the
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layer, and one or more calculated values. The number of atoms and the
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value(s) are average quantities. If the value of the <I>units</I> keyword
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is <I>box</I> or <I>lattice</I>, the "coord" is printed in box units. If the
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value of the <I>units</I> keyword is <I>reduced</I>, the "coord" is printed in
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reduced units (0-1).
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</P>
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<P>If the style is <I>density</I>, or the style is <I>compute</I> or <I>fix</I> with a
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compute/fix that calculates a single quantity per atom, then a single
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value will be printed for each layer. If the style is <I>compute</I> or
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<I>fix</I> with a compute/fix that calculates N quantities per atom, then N
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values per line will be written, each of them averaged independently.
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</P>
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<P>The <I>ave</I> keyword determines how the layer values produced every
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<I>Nfreq</I> steps are averaged with layer values produced on previous
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steps that were multiples of <I>Nfreq</I>, before they are accessed by
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another output command or written to a file.
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</P>
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<P>If the <I>ave</I> setting is <I>one</I>, then the layuer values produced on
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timesteps that are multiples of <I>Nfreq</I> are independent of each other;
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they are output as-is without further averaging.
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</P>
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<P>If the <I>ave</I> setting is <I>running</I>, then the layer values produced on
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timesteps that are multiples of <I>Nfreq</I> are summed and averaged in a
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cummulative sense before being output. Each output layer value is
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thus the average of the layer value produced on that timestep with all
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preceeding values for the same layer. This running average begins
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when the fix is defined; it can only be restarted by deleting the fix
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via the <A HREF = "unfix.html">unfix</A> command, or re-defining the fix by
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re-specifying it.
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</P>
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<P>If the <I>ave</I> setting is <I>window</I>, then the layer values produced on
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timesteps that are multiples of <I>Nfreq</I> are summed and averaged within
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a moving "window" of time, so that the last M values for the same
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layer are used to produce the output. E.g. if M = 3 and Nfreq = 1000,
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then the output on step 10000 will be the average of the individual
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layer values on steps 8000,9000,10000. Outputs on early steps will
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average over less than M values if they are not available.
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</P>
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<HR>
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2007-10-11 06:28:11 +08:00
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<P><B>Restart, fix_modify, output, run start/stop, minimize info:</B>
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2007-06-26 08:03:39 +08:00
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</P>
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<P>No information about this fix is written to <A HREF = "restart.html">binary restart
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files</A>. None of the <A HREF = "fix_modify.html">fix_modify</A> options
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are relevant to this fix.
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</P>
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<P>This fix computes a vector of quantities which can be accessed by
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various <A HREF = "Section_howto.html#4_15">output commands</A>. The values should
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only be accessed on timesteps that are multiples of <I>Nfreq</I> since that
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is when averaging is complete. The vector is of length N =
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nlayers*nvalues where nvalues is the number of per-atom quantities
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produced by the compute or fix that fix ave/spatial accesses. Nvalues
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= 1 if the style is <I>density</I>. If nvalues > 1 and vector value N is
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accessed by another output command, then the average quantity for the
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Ith layer and Jth value in that layer is accessed, where I = N /
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nvalues + 1 and J = N % nvalues + 1.
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</P>
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<P>No parameter of this fix can be used with the <I>start/stop</I> keywords of
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the <A HREF = "run.html">run</A> command. This fix is not invoked during <A HREF = "minimize.html">energy
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minimization</A>.
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2007-06-26 08:03:39 +08:00
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</P>
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2007-10-19 08:33:05 +08:00
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<P><B>Restrictions:</B>
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</P>
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<P>When the <I>ave</I> keyword is set to <I>running</I> or <I>window</I> then the number
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of layers must remain the same during the simulation, so that the
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appropriate averaging can be done. This will be the case if the
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simulation box size doesn't change or if the <I>units</I> keyword is set to
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<I>reduced</I>.
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2007-02-21 08:18:41 +08:00
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</P>
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<P><B>Related commands:</B>
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</P>
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<P><A HREF = "compute.html">compute</A>, <A HREF = "fix_ave_time.html">fix ave/time</A>
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</P>
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2007-02-21 08:49:36 +08:00
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<P><B>Default:</B>
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</P>
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2007-10-19 06:27:53 +08:00
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<P>The option defaults are units = lattice, norm = all, no file output,
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and ave = one.
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2007-02-21 08:18:41 +08:00
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</P>
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</HTML>
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