doc page
This commit is contained in:
191
doc/src/pair_dpd_coul_slater_long.rst
Normal file
191
doc/src/pair_dpd_coul_slater_long.rst
Normal file
@ -0,0 +1,191 @@
|
||||
.. index:: pair_style dpd/coul/slater/long
|
||||
.. index:: pair_style dpd/coul/slater/long/gpu
|
||||
|
||||
pair_style dpd/coul/slater/long command
|
||||
======================
|
||||
|
||||
Accelerator Variants: *dpd/coul/slater/long/gpu*
|
||||
|
||||
Syntax
|
||||
""""""
|
||||
|
||||
.. code-block:: LAMMPS
|
||||
|
||||
pair_style dpd/coul/slater/long T cutoff_DPD seed lambda cutoff_coul
|
||||
|
||||
pair_coeff I J a_IJ Gamma is_charged
|
||||
|
||||
* T = temperature (temperature units) (dpd only)
|
||||
* cutoff_DPD = global cutoff for DPD interactions (distance units)
|
||||
* seed = random # seed (positive integer)
|
||||
* lambda = decay length of the charge (distance units)
|
||||
* cutoff_coul = real part cutoff for Coulombic interactions (distance units)
|
||||
* I,J = numeric atom types (see asterisk form below), or type labels
|
||||
* Gamma = DPD Gamma coefficient
|
||||
* is_charged (boolean) set to yes if I and J are charged beads
|
||||
|
||||
Examples
|
||||
""""""""
|
||||
|
||||
.. code-block:: LAMMPS
|
||||
|
||||
pair_style dpd/coul/slater/long 1.0 2.5 34387 0.25 3.0
|
||||
pair_coeff 1 1 78.0 4.5 # not charged by default
|
||||
pair_coeff 2 2 78.0 4.5 yes
|
||||
|
||||
|
||||
Description
|
||||
"""""""""""
|
||||
|
||||
Style *dpd/coul/slater/long* computes a force field for dissipative particle dynamics
|
||||
(DPD) following the exposition in :ref:`(Groot) <Groot1>` with the addition of
|
||||
electrostatic interactions. The coulombic forces in mesoscopic models
|
||||
employ potentials without explicit excluded-volume interactions.
|
||||
The goal is to prevent artificial ionic pair formation by including a charge
|
||||
distribution in the Coulomb potential, following the formulation of
|
||||
:ref:`(Melchor) <Melchor>`:
|
||||
|
||||
The force on bead I due to bead J is given as a sum
|
||||
of 4 terms
|
||||
|
||||
.. math::
|
||||
|
||||
\vec{f} = & (F^C + F^D + F^R + F^E) \hat{r_{ij}} \\
|
||||
F^C = & A w(r) \qquad \qquad r < r_c \\
|
||||
F^D = & - \gamma w^2(r) (\hat{r_{ij}} \bullet \vec{v}_{ij}) \qquad \qquad r < r_c \\
|
||||
F^R = & \sigma w(r) \alpha (\Delta t)^{-1/2} \qquad \qquad r < r_c \\
|
||||
w(r) = & 1 - \frac{r}{r_c} \\
|
||||
F^E = & \frac{Cq_iq_j}{\epsilon r^2} \left( 1- exp\left( \frac{2r_{ij}}{\lambda} \right) \left( 1 + \frac{2r_{ij}}{\lambda} \left( 1 + \frac{r_{ij}}{\lambda} \right)\right) \right)
|
||||
|
||||
where :math:`F^C` is a conservative force, :math:`F^D` is a dissipative
|
||||
force, :math:`F^R` is a random force, and :math:`F^E` is an electrostatic force.
|
||||
:math:`\hat{r_{ij}}` is a unit vector in the direction
|
||||
:math:`r_i - r_j`, :math:`\vec{v}_{ij}` is
|
||||
the vector difference in velocities of the two atoms :math:`\vec{v}_i -
|
||||
\vec{v}_j`, :math:`\alpha` is a Gaussian random number with zero mean
|
||||
and unit variance, *dt* is the timestep size, and :math:`w(r)` is a
|
||||
weighting factor that varies between 0 and 1. :math:`r_c` is the
|
||||
pairwise cutoff. :math:`\sigma` is set equal to :math:`\sqrt{2 k_B T
|
||||
\gamma}`, where :math:`k_B` is the Boltzmann constant and *T* is the
|
||||
temperature parameter in the pair_style command.
|
||||
C is the same Coulomb conversion factor as in the pair_styles
|
||||
coul/cut and coul/long. In this way the Coulomb
|
||||
interaction between ions is corrected at small distances r, and
|
||||
the long-range interactions are computed either by the Ewald or the PPPM technique.
|
||||
|
||||
|
||||
The following parameters must be defined for each
|
||||
pair of atoms types via the :doc:`pair_coeff <pair_coeff>` command as in
|
||||
the examples above, or in the data file or restart files read by the
|
||||
:doc:`read_data <read_data>` or :doc:`read_restart <read_restart>`
|
||||
commands:
|
||||
|
||||
* A (force units)
|
||||
* :math:`\gamma` (force/velocity units)
|
||||
* is_charged (boolean)
|
||||
|
||||
Note that sigma is set equal to sqrt(2 T gamma),
|
||||
where T is the temperature set by the :doc:`pair_style <pair_style>`
|
||||
command so it does not need to be specified.
|
||||
|
||||
.. note::
|
||||
|
||||
This style is the combination of :doc:`pair_style dpd <pair_dpd>` and :doc:`pair_style coul/slater/long <pair_coul_slater>`.
|
||||
|
||||
----------
|
||||
|
||||
.. include:: accel_styles.rst
|
||||
|
||||
----------
|
||||
|
||||
Mixing, shift, table, tail correction, restart, rRESPA info
|
||||
"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
|
||||
|
||||
This pair style does not support mixing. Thus, coefficients for all
|
||||
I,J pairs must be specified explicitly.
|
||||
|
||||
This pair style does not support the :doc:`pair_modify <pair_modify>`
|
||||
shift option for the energy of the pair interaction.
|
||||
|
||||
The :doc:`pair_modify <pair_modify>` table option is not relevant
|
||||
for this pair style.
|
||||
|
||||
This pair style does not support the :doc:`pair_modify <pair_modify>`
|
||||
tail option for adding long-range tail corrections to energy and
|
||||
pressure.
|
||||
|
||||
This pair style writes its information to :doc:`binary restart files
|
||||
<restart>`, so pair_style and pair_coeff commands do not need to be
|
||||
specified in an input script that reads a restart file. Note that the
|
||||
user-specified random number seed is stored in the restart file, so when
|
||||
a simulation is restarted, each processor will re-initialize its random
|
||||
number generator the same way it did initially. This means the random
|
||||
forces will be random, but will not be the same as they would have been
|
||||
if the original simulation had continued past the restart time.
|
||||
|
||||
This pair style can only be used via the *pair* keyword of the
|
||||
:doc:`run_style respa <run_style>` command. They do not support the
|
||||
*inner*, *middle*, *outer* keywords.
|
||||
|
||||
|
||||
----------
|
||||
|
||||
Restrictions
|
||||
""""""""""""
|
||||
|
||||
This style is part of the DPD-BASIC package. It is only enabled if
|
||||
LAMMPS was built with that package. See the :doc:`Build package
|
||||
<Build_package>` page for more info.
|
||||
|
||||
The default frequency for rebuilding neighbor lists is every 10 steps
|
||||
(see the :doc:`neigh_modify <neigh_modify>` command). This may be too
|
||||
infrequent since particles move rapidly and
|
||||
can overlap by large amounts. If this setting yields a non-zero number
|
||||
of "dangerous" reneighborings (printed at the end of a simulation), you
|
||||
should experiment with forcing reneighboring more often and see if
|
||||
system energies/trajectories change.
|
||||
|
||||
This pair style requires you to use the :doc:`comm_modify vel yes
|
||||
<comm_modify>` command so that velocities are stored by ghost atoms.
|
||||
|
||||
This pair style also requires the long-range solvers included in the KSPACE package.
|
||||
|
||||
|
||||
This pair style will not restart exactly when using the
|
||||
:doc:`read_restart <read_restart>` command, though they should provide
|
||||
statistically similar results. This is because the forces they compute
|
||||
depend on atom velocities. See the :doc:`read_restart <read_restart>`
|
||||
command for more details.
|
||||
|
||||
Related commands
|
||||
""""""""""""""""
|
||||
|
||||
:doc:`pair_style dpd <pair_dpd>`, :doc:`pair_style coul/slater/long <pair_coul_slater>`,
|
||||
:doc:`pair_coeff <pair_coeff>`,
|
||||
:doc:`fix nvt <fix_nh>`, :doc:`fix langevin <fix_langevin>`,
|
||||
:doc:`pair_style srp <pair_srp>`, :doc:`fix mvv/dpd <fix_mvv_dpd>`.
|
||||
|
||||
Default
|
||||
"""""""
|
||||
|
||||
none
|
||||
|
||||
----------
|
||||
|
||||
.. _Groot1:
|
||||
|
||||
**(Groot)** Groot and Warren, J Chem Phys, 107, 4423-35 (1997).
|
||||
|
||||
.. _Afshar:
|
||||
|
||||
**(Afshar)** Afshar, F. Schmid, A. Pishevar, S. Worley, Comput Phys
|
||||
Comm, 184, 1119-1128 (2013).
|
||||
|
||||
.. _Phillips:
|
||||
|
||||
**(Phillips)** C. L. Phillips, J. A. Anderson, S. C. Glotzer, Comput
|
||||
Phys Comm, 230, 7191-7201 (2011).
|
||||
|
||||
.. _Melchor:
|
||||
|
||||
**(Melchor)** Gonzalez-Melchor, Mayoral, Velazquez, and Alejandre, J Chem Phys, 125, 224107 (2006).
|
||||
Reference in New Issue
Block a user