Move compute_gyration_shape_chunk.txt into txt/ folder
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"LAMMPS WWW Site"_lws - "LAMMPS Documentation"_ld - "LAMMPS Commands"_lc :c
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:link(lws,http://lammps.sandia.gov)
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:link(ld,Manual.html)
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:link(lc,Commands_all.html)
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:line
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compute gyration/shape/chunk command :h3
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[Syntax:]
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compute ID group-ID gyration/shape/chunk compute-ID :pre
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ID, group-ID are documented in "compute"_compute.html command
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gyration/shape/chunk = style name of this compute command
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compute-ID = ID of "compute gyration/chunk"_compute_gyration_chunk.html command :ul
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[Examples:]
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compute 1 molecule gyration/shape/chunk pe :pre
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[Description:]
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Define a computation that calculates the eigenvalues of the gyration tensor and
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three shape parameters of multiple chunks of atoms. The computation includes
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all effects due to atoms passing through periodic boundaries.
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The three computed shape parameters are the asphericity, b, the acylindricity, c,
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and the relative shape anisotropy, k:
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:c,image(Eqs/compute_shape_parameters.jpg)
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where lx <= ly <= lz are the three eigenvalues of the gyration tensor. A general description
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of these parameters is provided in "(Mattice)"_#Mattice2 while an application to polymer systems
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can be found in "(Theodorou)"_#Theodorou2. The asphericity is always non-negative and zero
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only when the three principal moments are equal. This zero condition is met when the distribution
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of particles is spherically symmetric (hence the name asphericity) but also whenever the particle
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distribution is symmetric with respect to the three coordinate axes, e.g.,
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when the particles are distributed uniformly on a cube, tetrahedron or other Platonic
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solid. The acylindricity is always non-negative and zero only when the two principal
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moments are equal. This zero condition is met when the distribution of particles is
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cylindrically symmetric (hence the name, acylindricity), but also whenever the particle
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distribution is symmetric with respect to the two coordinate axes, e.g., when the
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particles are distributed uniformly on a regular prism. the relative shape anisotropy
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is bounded between zero (if all points are spherically symmetric) and one
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(if all points lie on a line).
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The tensor keyword must be specified in the compute gyration/chunk command.
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NOTE: The coordinates of an atom contribute to the gyration tensor in
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"unwrapped" form, by using the image flags associated with each atom.
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See the "dump custom"_dump.html command for a discussion of "unwrapped"
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coordinates. See the Atoms section of the "read_data"_read_data.html
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command for a discussion of image flags and how they are set for each
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atom. You can reset the image flags (e.g. to 0) before invoking this
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compute by using the "set image"_set.html command.
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[Output info:]
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This compute calculates a global array with six columns,
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which can be accessed by indices 1-6. The first three columns are the
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eigenvalues of the gyration tensor followed by the asphericity, the acylindricity
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and the relative shape anisotropy. The computed values can be used by any command
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that uses global array values from a compute as input. See the "Howto
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output"_Howto_output.html doc page for an overview of LAMMPS output
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options.
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The array calculated by this compute is
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"intensive". The first five columns will be in
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distance^2 "units"_units.html while the sixth one is dimensionless.
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[Restrictions:]
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This compute is part of the USER-MISC package. It is only enabled if
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LAMMPS was built with that package. See the "Build
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package"_Build_package.html doc page for more info.
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[Related commands:]
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"compute gyration/chunk"_compute_gyration_chunk.html
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"compute gyration/shape"_compute_gyration_shape.html
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[Default:] none
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:line
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:link(Mattice2)
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[(Mattice)] Mattice, Suter, Conformational Theory of Large Molecules, Wiley, New York, 1994.
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:link(Theodorou2)
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[(Theodorou)] Theodorou, Suter, Macromolecules, 18, 1206 (1985).
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