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lammps/doc/src/angle_gaussian.rst
2021-07-09 16:54:00 -04:00

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.. index:: angle_style gaussian
angle_style gaussian command
================================
Syntax
""""""
.. code-block:: LAMMPS
angle_style gaussian
Examples
""""""""
.. code-block:: LAMMPS
angle_style gaussian
angle_coeff 1 300.0 2 0.0128 0.375 80.0 0.0730 0.148 123.0
Description
"""""""""""
The *gaussian* angle style uses the potential:
.. math::
E = -k_B T ln\left(\sum_{i=1}^{n} \frac{A_i}{w_i \sqrt{\pi/2}} exp\left( \frac{-(\theta-\theta_{i})^2}{w_i^2})\right) \right)
This analytical form is a suitable potential for obtaining
mesoscale effective force fields which can reproduce target atomistic distributions :ref:`(Milano) <Milano1>`
The following coefficients must be defined for each angle type via the
:doc:`angle_coeff <angle_coeff>` command as in the example above, or in
the data file or restart files read by the :doc:`read_data <read_data>`
or :doc:`read_restart <read_restart>` commands:
* T temperature at which the potential was derived
* :math:`n` (integer >=1)
* :math:`A_1` (-)
* :math:`w_1` (-)
* :math:`\theta_1` (degrees)
* ...
* :math:`A_n` (-)
* :math:`w_n` (-)
* :math:`\theta_n` (degrees)
Restrictions
""""""""""""
This angle style can only be used if LAMMPS was built with the
MOLECULE package. See the :doc:`Build package <Build_package>` doc
page for more info.
Related commands
""""""""""""""""
:doc:`angle_coeff <angle_coeff>`
Default
"""""""
none
----------
.. _Milano1:
**(Milano)** G. Milano, S. Goudeau, F. Mueller-Plathe, J. Polym. Sci. B Polym. Phys. 43, 871 (2005).