Merge pull request #4570 from akohlmey/collected-small-changes
More small changes to recover builds of "develop"
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@ -50,45 +50,42 @@ Lennard-Jones (LJ) formulation is usually applied.
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:math:`r_c` is the cutoff.
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An additional parameter, :math:`\alpha`, has been introduced in order
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to be able to recover the traditional Lennard-Jones 12-6 with a specific
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choice of parameters. With :math:`R_m \equiv r_0 = \sigma \cdot 2^{1 / 6}`,
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:math:`\alpha = 0`, :math:`\beta = 12` and :math:`\gamma = 6`
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it is straightforward to prove that LJ 12-6 is obtained. Also, it can be
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An additional parameter, :math:`\alpha`, has been introduced in order to
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be able to recover the traditional Lennard-Jones 12-6 with a specific
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choice of parameters. With :math:`R_m \equiv r_0 = \sigma \cdot 2^{1 /
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6}`, :math:`\alpha = 0`, :math:`\beta = 12` and :math:`\gamma = 6` it is
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straightforward to prove that LJ 12-6 is obtained. Also, it can be
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verified that using :math:`\alpha= 4`, :math:`\beta= 8` and
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:math:`\gamma = 6`, at the equilibrium distance, the first and second
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derivatives of ILJ match those of LJ 12-6. The parameter :math:`R_m`
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corresponds to the equilibrium distance and :math:`\epsilon` to the
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well depth.
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corresponds to the equilibrium distance and :math:`\epsilon` to the well
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depth.
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This potential provides some advantages with respect to the standard LJ
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potential, as explained in :ref:`(Pirani) <Pirani>`: it provides a more
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realistic description of the long range behaviour and an attenuation of
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realistic description of the long range behavior and an attenuation of
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the hardness of the repulsive wall.
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This force field can be used for neutral-neutral (:math:`\gamma = 6`),
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ion-neutral (:math:`\gamma = 4`) or ion-ion systems (:math:`\gamma = 1`).
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Notice that this implementation does not include explicit electrostatic
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interactions. If these are desired, this pair style should be used along
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with a Coulomb pair style :doc:`pair_style coul/cut <pair_coul_cut>` and
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optional long-range Coulombics, which can be done using the pair style
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hybrid :doc:`pair_style hybrid <pair_hybrid>` and kspace
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style :doc:`kspace_style <kspace_style>` commands.
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ion-neutral (:math:`\gamma = 4`) or ion-ion systems (:math:`\gamma =
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1`). Notice that this implementation does not include explicit
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electrostatic interactions. If these are desired, this pair style
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should be used along with a Coulomb pair style like
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:doc:`pair styles coul/cut or coul/long <pair_coul>` by using
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:doc:`pair style hybrid/overlay <pair_hybrid>` and a suitable
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kspace style :doc:`<kspace_style>`, if needed.
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As discussed in :ref:`(Pirani) <Pirani>`, analyses of a
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variety of systems showed that :math:`\alpha= 4` generally works very well.
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In some special cases (e.g. those involving very small multiple charged ions)
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this factor may take a slightly different value. The parameter
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As discussed in :ref:`(Pirani) <Pirani>`, analysis of a variety of
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systems showed that :math:`\alpha= 4` generally works very well. In
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some special cases (e.g. those involving very small multiple charged
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ions) this factor may take a slightly different value. The parameter
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:math:`\beta` codifies the hardness (polarizability) of the interacting
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partners, and for neutral-neutral systems it usually ranges from 6 to 11.
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Moreover, the modulation of :math:`\beta` can model additional interaction
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effects, such as charge transfer in the perturbative limit, and can
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mitigate the effect of some uncertainty in the data used to build up
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the potential function.
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partners, and for neutral-neutral systems it usually ranges from 6
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to 11. Moreover, the modulation of :math:`\beta` can model additional
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interaction effects, such as charge transfer in the perturbative limit,
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and can mitigate the effect of some uncertainty in the data used to
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build up the potential function.
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The following coefficients must be defined for each pair of atoms
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types via the :doc:`pair_coeff <pair_coeff>` command as in the examples
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@ -2965,6 +2965,7 @@ Piola
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pIp
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pipelining
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Pirani
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pirani
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Pisarev
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Pishevar
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Pitera
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