From 954be8483a4d3bb085cec702c956d7a226f80cc2 Mon Sep 17 00:00:00 2001 From: Richard Berger Date: Thu, 14 Nov 2019 20:44:22 -0500 Subject: [PATCH] Update docs: angle_dipole --- doc/src/Eqs/angle_dipole_couple.jpg | Bin 2930 -> 0 bytes doc/src/Eqs/angle_dipole_couple.tex | 10 -- doc/src/Eqs/angle_dipole_gamma.jpg | Bin 2709 -> 0 bytes doc/src/Eqs/angle_dipole_gamma.tex | 9 -- doc/src/Eqs/angle_dipole_potential.jpg | Bin 2616 -> 0 bytes doc/src/Eqs/angle_dipole_potential.tex | 9 -- doc/src/Eqs/angle_dipole_torque.jpg | Bin 5110 -> 0 bytes doc/src/Eqs/angle_dipole_torque.tex | 9 -- doc/src/angle_dipole.rst | 87 +++++++++-------- doc/txt/angle_dipole.txt | 126 ------------------------- 10 files changed, 46 insertions(+), 204 deletions(-) delete mode 100644 doc/src/Eqs/angle_dipole_couple.jpg delete mode 100644 doc/src/Eqs/angle_dipole_couple.tex delete mode 100644 doc/src/Eqs/angle_dipole_gamma.jpg delete mode 100644 doc/src/Eqs/angle_dipole_gamma.tex delete mode 100644 doc/src/Eqs/angle_dipole_potential.jpg delete mode 100644 doc/src/Eqs/angle_dipole_potential.tex delete mode 100644 doc/src/Eqs/angle_dipole_torque.jpg delete mode 100644 doc/src/Eqs/angle_dipole_torque.tex delete mode 100644 doc/txt/angle_dipole.txt diff --git a/doc/src/Eqs/angle_dipole_couple.jpg b/doc/src/Eqs/angle_dipole_couple.jpg deleted file mode 100644 index f16849b2f9663e12ec3148d2ecdd8ba8916f00f1..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 2930 zcmaKtc~sI_8^?c$CQhcJqos(HT3Uvdxuv<3B`%Xro92Q`ZWX4fV~PuAWnwC%j^YZ_ zs=4NpONH9xzC>yygoTKKDU>U&=<9Um{p&sF{oH$=f9`Yc^PKO!-}7uTHpc)3M>_{Q z00aU7_FD_sWC6B-6j)MH5-hb9q@<*_Ny|c{w~*hyT}Bovuc!!>heDN9)ORZVs-_Hu z?%K0U4Gu>j5K22WwKX-g)in?rn{B{$2oMYmfk04TvmH{B_tq{V41B95Fi1Tl!9(k+#{`YSo8Q9Kgh2tT81aWlayWEGWVVRa4GB0 zoZOl>!}QHh0A#Ckz#3RXLjNBq{t@LvGhN802*n0e)a4Q)c{pig^hB3}^^w2I+-c{Z zHwn5Bou~}jX_H{h{l>L^p=~^)nu%^O2gIq86;4E9(i#^g*=PQ(VH1E2J&?@2>T=F% zMbkX;uQqhS5wS+Mlb7`&N8(ug61;Ezb($*i$^FzO&%YV;}BLsF?sp6 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a/doc/src/Eqs/angle_dipole_couple.tex +++ /dev/null @@ -1,10 +0,0 @@ -\documentclass[12pt]{article} - -\begin{document} - -\begin{eqnarray*} --\vec{T_j} & = & \vec{r_{ij}} \times \vec{F_i}\\ -\vec{F_j} & = & -\vec{F_i} \\ -\end{eqnarray*} - -\end{document} diff --git a/doc/src/Eqs/angle_dipole_gamma.jpg b/doc/src/Eqs/angle_dipole_gamma.jpg deleted file mode 100644 index 4bf618e2529f152f2cb27952ccdd0ae7c00417de..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 2709 zcmZWrc{J3E7yr(fiP5u+v1Ke_#8^Z26jPWXWX2LRD&k2on(VUtc$$f& zY-MR7l&HzRlrYKU>DeM;emdvZ@BQ)az32Y(x#ymH?!D)JE`NkS1&G_*;%osB2n1kv z72uBp#{j4R1OgF&?m8$Gx<~LgA;Db{+q)O`8(d660xkxJBc$bJ5R!6IaJa0ptek>^ zl9CcaMg^s!h>}-SQsh4Y_6h-bfDHn{0e%Od0Du62p9TVc31l}f2rK{-+Jz5`10Vqi zNB}GVfdPAeM(iRG0J;Y*A&5{`v6ht5mr-@`5t25*xKR@G22h50S9f1VZYk#-e+&@% zne`~J^NNYK$20!rJiG1%SaYeA-r!)UqOkY(+48b@7+Cr3kA{ST@;LRP0@6|sqR!!* z@u-+nT(`Dh^rLI3o&;RjB|9mU;{J=VnCO^h_cjJIK(U}uFmGR%emz?<3LQB|FDcwW 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Specifically, the *dipole* angle -style restrains the orientation of a point dipole mu\_j (embedded in atom -'j') with respect to a reference (bond) vector r\_ij = r\_i - r\_j, where 'i' -is another atom of the same molecule (typically, 'i' and 'j' are also -covalently bonded). +style restrains the orientation of a point dipole :math:`\mu_j` (embedded in atom +:math:`j`) with respect to a reference (bond) vector +:math:`\vec{r_{ij}} = \vec{r_i} - \vec{r_j}`, where :math:`i` is another atom of +the same molecule (typically, :math:`i` and :math:`j` are also covalently bonded). -It is convenient to define an angle gamma between the 'free' vector mu\_j -and the reference (bond) vector r\_ij: +It is convenient to define an angle gamma between the 'free' vector :math:`\vec{\mu_j}` +and the reference (bond) vector :math:`\vec{r_{ij}}`: + +.. math:: + + \cos\gamma = \frac{\vec{\mu_j}\cdot\vec{r_{ij}}}{\mu_j\,r_{ij}} -.. image:: Eqs/angle_dipole_gamma.jpg - :align: center The *dipole* angle style uses the potential: -.. image:: Eqs/angle_dipole_potential.jpg - :align: center +.. math:: -where K is a rigidity constant and gamma0 is an equilibrium (reference) + E = K (\cos\gamma - \cos\gamma_0)^2 + + +where :math:`K` is a rigidity constant and gamma0 is an equilibrium (reference) angle. The torque on the dipole can be obtained by differentiating the potential using the 'chain rule' as in appendix C.3 of :ref:`(Allen) `: -.. image:: Eqs/angle_dipole_torque.jpg - :align: center +.. math:: -Example: if gamma0 is set to 0 degrees, the torque generated by + \vec{T_j} = \frac{2K(\cos\gamma - \cos\gamma_0)}{\mu_j\,r_{ij}}\, \vec{r_{ij}} \times \vec{\mu_j} + + +Example: if :math:`\gamma_0` is set to 0 degrees, the torque generated by the potential will tend to align the dipole along the reference -direction defined by the (bond) vector r\_ij (in other words, mu\_j is -restrained to point towards atom 'i'). +direction defined by the (bond) vector :math:`\vec{r_{ij}}` (in other words, :math:`\vec{\mu_j}` is +restrained to point towards atom :math:`i`). -The dipolar torque T\_j must be counterbalanced in order to conserve +The dipolar torque :math:`\vec{T_j}` must be counterbalanced in order to conserve the local angular momentum. This is achieved via an additional force -couple generating a torque equivalent to the opposite of T\_j: +couple generating a torque equivalent to the opposite of :math:`\vec{T_j}`: -.. image:: Eqs/angle_dipole_couple.jpg - :align: center +.. math:: -where F\_i and F\_j are applied on atoms i and j, respectively. + -\vec{T_j} & = & \vec{r_{ij}} \times \vec{F_i}\\ + \vec{F_j} & = & -\vec{F_i} \\ + + +where :math:`\vec{F_i}` and :math:`\vec{F_j}` are applied on atoms :math:`i` +and :math:`j`, respectively. The following coefficients must be defined for each angle type via the :doc:`angle\_coeff ` command as in the example above, or in the data file or restart files read by the :doc:`read\_data ` or :doc:`read\_restart ` commands: -* K (energy) -* gamma0 (degrees) +* :math:`K` (energy) +* :math:`\gamma_0` (degrees) ---------- @@ -108,17 +118,17 @@ page for more info. .. note:: - In the "Angles" section of the data file, the atom ID 'j' + In the "Angles" section of the data file, the atom ID :math:`j` defining the direction of the dipole vector to restrain must come - before the atom ID of the reference atom 'i'. A third atom ID 'k' must + before the atom ID of the reference atom :math:`i`. A third atom ID :math:`k` must also be provided to comply with the requirement of a valid angle - definition. This atom ID k should be chosen to be that of an atom - bonded to atom 'i' to avoid errors with "lost angle atoms" when running + definition. This atom ID :math:`k` should be chosen to be that of an atom + bonded to atom :math:`i` to avoid errors with "lost angle atoms" when running in parallel. Since the LAMMPS code checks for valid angle definitions, - cannot use the same atom ID of either 'i' or 'j' (this was allowed + cannot use the same atom ID of either :math:`i` or :math:`j` (this was allowed and recommended with older LAMMPS versions). -The "newton" command for intramolecular interactions must be "on" +The :doc:`newton ` command for intramolecular interactions must be "on" (which is the default except when using some accelerator packages). This angle style should not be used with SHAKE. @@ -147,8 +157,3 @@ lipid membranes, PloS ONE 6(12): e28637, 2011. **(Allen)** Allen & Tildesley, Computer Simulation of Liquids, Clarendon Press, Oxford, 1987. - - -.. _lws: http://lammps.sandia.gov -.. _ld: Manual.html -.. _lc: Commands_all.html diff --git a/doc/txt/angle_dipole.txt b/doc/txt/angle_dipole.txt deleted file mode 100644 index cdb11972ec..0000000000 --- a/doc/txt/angle_dipole.txt +++ /dev/null @@ -1,126 +0,0 @@ -"LAMMPS WWW Site"_lws - "LAMMPS Documentation"_ld - "LAMMPS Commands"_lc :c - -:link(lws,http://lammps.sandia.gov) -:link(ld,Manual.html) -:link(lc,Commands_all.html) - -:line - -angle_style dipole command :h3 -angle_style dipole/omp command :h3 - -[Syntax:] - -angle_style dipole :pre - -[Examples:] - -angle_style dipole -angle_coeff 6 2.1 180.0 :pre - -[Description:] - -The {dipole} angle style is used to control the orientation of a dipolar -atom within a molecule "(Orsi)"_#Orsi. Specifically, the {dipole} angle -style restrains the orientation of a point dipole mu_j (embedded in atom -'j') with respect to a reference (bond) vector r_ij = r_i - r_j, where 'i' -is another atom of the same molecule (typically, 'i' and 'j' are also -covalently bonded). - -It is convenient to define an angle gamma between the 'free' vector mu_j -and the reference (bond) vector r_ij: - -:c,image(Eqs/angle_dipole_gamma.jpg) - -The {dipole} angle style uses the potential: - -:c,image(Eqs/angle_dipole_potential.jpg) - -where K is a rigidity constant and gamma0 is an equilibrium (reference) -angle. - -The torque on the dipole can be obtained by differentiating the -potential using the 'chain rule' as in appendix C.3 of -"(Allen)"_#Allen1: - -:c,image(Eqs/angle_dipole_torque.jpg) - -Example: if gamma0 is set to 0 degrees, the torque generated by -the potential will tend to align the dipole along the reference -direction defined by the (bond) vector r_ij (in other words, mu_j is -restrained to point towards atom 'i'). - -The dipolar torque T_j must be counterbalanced in order to conserve -the local angular momentum. This is achieved via an additional force -couple generating a torque equivalent to the opposite of T_j: - -:c,image(Eqs/angle_dipole_couple.jpg) - -where F_i and F_j are applied on atoms i and j, respectively. - -The following coefficients must be defined for each angle type via the -"angle_coeff"_angle_coeff.html command as in the example above, or in -the data file or restart files read by the "read_data"_read_data.html -or "read_restart"_read_restart.html commands: - -K (energy) -gamma0 (degrees) :ul - -:line - -Styles with a {gpu}, {intel}, {kk}, {omp}, or {opt} suffix are -functionally the same as the corresponding style without the suffix. -They have been optimized to run faster, depending on your available -hardware, as discussed on the "Speed packages"_Speed_packages.html doc -page. The accelerated styles take the same arguments and should -produce the same results, except for round-off and precision issues. - -These accelerated styles are part of the GPU, USER-INTEL, KOKKOS, -USER-OMP and OPT packages, respectively. They are only enabled if -LAMMPS was built with those packages. See the "Build -package"_Build_package.html doc page for more info. - -You can specify the accelerated styles explicitly in your input script -by including their suffix, or you can use the "-suffix command-line -switch"_Run_options.html when you invoke LAMMPS, or you can use the -"suffix"_suffix.html command in your input script. - -See the "Speed packages"_Speed_packages.html doc page for more -instructions on how to use the accelerated styles effectively. - -[Restrictions:] - -This angle style can only be used if LAMMPS was built with the -USER-MISC package. See the "Build package"_Build_package.html doc -page for more info. - -NOTE: In the "Angles" section of the data file, the atom ID 'j' -defining the direction of the dipole vector to restrain must come -before the atom ID of the reference atom 'i'. A third atom ID 'k' must -also be provided to comply with the requirement of a valid angle -definition. This atom ID k should be chosen to be that of an atom -bonded to atom 'i' to avoid errors with "lost angle atoms" when running -in parallel. Since the LAMMPS code checks for valid angle definitions, -cannot use the same atom ID of either 'i' or 'j' (this was allowed -and recommended with older LAMMPS versions). - -The "newton" command for intramolecular interactions must be "on" -(which is the default except when using some accelerator packages). - -This angle style should not be used with SHAKE. - -[Related commands:] - -"angle_coeff"_angle_coeff.html, "angle_hybrid"_angle_hybrid.html - -[Default:] none - -:line - -:link(Orsi) -[(Orsi)] Orsi & Essex, The ELBA force field for coarse-grain modeling of -lipid membranes, PloS ONE 6(12): e28637, 2011. - -:link(Allen1) -[(Allen)] Allen & Tildesley, Computer Simulation of Liquids, -Clarendon Press, Oxford, 1987.