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@ -40,35 +40,34 @@ The *coul/tt* pair style should be used as a sub-style within in the
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:doc:`pair_style hybrid/overlay <pair_hybrid>` command, in conjunction with a
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main pair style including Coulomb interactions and *thole* pair style,
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or with *lj/cut/thole/long* pair style that is equivalent to the combination
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of two preceding.
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of preceding two.
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The *coul/tt* pair styles compute the charge-dipole Coulomb interaction damped
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at short distances by a function
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.. math::
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TT_{ij}(r) = 1 - c_{ij} \cdot e^{-b_{ij} r} \sum_{k=0}^n \frac{(b_{ij} r)^k}{k!}
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f_{n,ij}(r) = 1 - c_{ij} \cdot e^{-b_{ij} r} \sum_{k=0}^n \frac{(b_{ij} r)^k}{k!}
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This function results from an adaptation to Coulomb interaction :ref:`(Salanne)
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<Salanne1>` the damping function originally proposed
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by :ref:`(Tang Toennies) <TangToennies1>` for van der Waals interactions.
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This function results from an adaptation to the Coulomb interaction :ref:`(Salanne)
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<Salanne1>` of the damping function originally proposed
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by :ref:`Tang Toennies <TangToennies1>` for van der Waals interactions.
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The polynomial takes the degree of 4 for damping Coulomb interaction.
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The polynomial takes the degree 4 for damping the Coulomb interaction.
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The parameters :math:`b_{ij}` and :math:`c_{ij}` could be determined from
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first-principle calculations for small, mainly mono-atomic, ions :ref:`(Salanne)
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<Salanne1>` or chosen as empirical for large molecules.
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<Salanne1>`, or else treated as empirical for large molecules.
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The damping function is typically applied to the interactions between a Drude
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charge (:math:`q_{D,i}` on a Drude particle or :math:`-q_{D,i}` on the respective
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Drude core particle bonded to a Drude particle) and a charge of a non-polarizable
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atom, :math:`q_{j}`. The Tang-Toennies function could be used to damp electrostatic
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interaction between two Drude cores acting on the partial charge of the one core
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:math:`q_{i}-q_{D,i}` and a Drude charge of the another one :math:`-q_{D,j}`, and
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the opposite case, respectively. The :math:`b_{ij}` and :math:`c_{ij}` are equal
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to :math:`b_{ji}` and :math:`c_{ji}` in case of core - core interaction.
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Therefore, the screening is not applied to the full charge of the Drude core
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:math:`q_i`, but only to the :math:`-q_{D,i}` part of it when it acts as a
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dipole or :math:`q_{i}-q_{D,i}` when it acts as a charge.
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In pair styles with Drude induced dipoles, this damping function is typically
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applied to the interactions between a Drude charge (either :math:`q_{D,i}` on
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a Drude particle or :math:`-q_{D,i}` on the respective
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Drude core)) and a charge on a non-polarizable atom, :math:`q_{j}`.
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The Tang-Toennies function could also be used to damp electrostatic
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interactions between the (non-polarizable part of the) charge of a core,
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:math:`q_{i}-q_{D,i}`, and the Drude charge of another, :math:`-q_{D,j}`.
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The :math:`b_{ij}` and :math:`c_{ij}` are equal to :math:`b_{ji}` and
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:math:`c_{ji}` in the case of core-core interactions.
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For pair_style *coul/tt*\ , the following coefficients must be defined for
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each pair of atoms types via the :doc:`pair_coeff <pair_coeff>` command
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@ -80,9 +79,9 @@ as in the example above.
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* cutoff (distance units)
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The last two coefficients are optional. If not specified the global
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degree of polynomial or global cutoff specified in the pair_style
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command are used. In order to specify a cutoff (forth argument) a damp
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parameter (third argument) must also be specified.
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degree of the polynomial or the global cutoff specified in the pair_style
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command are used. In order to specify a cutoff (forth argument), the degree of
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the polynomial (third argument) must also be specified.
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----------
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@ -7,7 +7,7 @@ features:
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using Langevin or Nosé-Hoover thermostats
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* computation of the atom and dipole temperatures
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* damping induced dipole interactions using Thole's function
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* charge-dipole damping using Tang-Toennies damping function
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* charge-dipole damping using Tang-Toennies function
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See the file doc/drude_tutorial.html for getting started.
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