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"Previous Section"_Manual.html - "LAMMPS WWW Site"_lws - "LAMMPS Documentation"_ld - "LAMMPS Commands"_lc - "Next Section"_Section_start.html :c
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:link(lws,http://lammps.sandia.gov)
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:link(ld,Manual.html)
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:link(lc,Section_commands.html#comm)
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:line
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1. Introduction :h3
|
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These sections provide an overview of what LAMMPS can and can't do,
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describe what it means for LAMMPS to be an open-source code, and
|
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acknowledge the funding and people who have contributed to LAMMPS over
|
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the years.
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|
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1.1 "What is LAMMPS"_#1_1
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1.2 "LAMMPS features"_#1_2
|
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1.3 "LAMMPS non-features"_#1_3
|
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1.4 "Open source distribution"_#1_4
|
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1.5 "Acknowledgments and citations"_#1_5 :all(b)
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:line
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1.1 What is LAMMPS :link(1_1),h4
|
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|
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LAMMPS is a classical molecular dynamics code that models an ensemble
|
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of particles in a liquid, solid, or gaseous state. It can model
|
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atomic, polymeric, biological, metallic, or granular systems using a
|
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variety of force fields and boundary conditions.
|
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|
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For examples of LAMMPS simulations, see the Publications page of the
|
||||
"LAMMPS WWW Site"_lws.
|
||||
|
||||
LAMMPS runs efficiently on single-processor desktop or laptop
|
||||
machines, but is designed for parallel computers. It will run on any
|
||||
parallel machine that compiles C++ and supports the "MPI"_mpi
|
||||
message-passing library. This includes distributed- or shared-memory
|
||||
parallel machines and Beowulf-style clusters.
|
||||
|
||||
:link(mpi,http://www-unix.mcs.anl.gov/mpi)
|
||||
|
||||
LAMMPS can model systems with only a few particles up to millions or
|
||||
billions. See "this section"_Section_perf.html for information on LAMMPS
|
||||
performance and scalability, or the Benchmarks section of the "LAMMPS
|
||||
WWW Site"_lws.
|
||||
|
||||
LAMMPS is a freely-available open-source code, distributed under the
|
||||
terms of the "GNU Public License"_gnu, which means you can use or
|
||||
modify the code however you wish. See "this section"_#1_4 for a brief
|
||||
discussion of the open-source philosophy.
|
||||
|
||||
:link(gnu,http://www.gnu.org/copyleft/gpl.html)
|
||||
|
||||
LAMMPS is designed to be easy to modify or extend with new
|
||||
capabilities, such as new force fields, atom types, boundary
|
||||
conditions, or diagnostics. See "this section"_Section_modify.html for
|
||||
more details.
|
||||
|
||||
The current version of LAMMPS is written in C++. Earlier versions
|
||||
were written in F77 and F90. See "this section"_Section_history.html
|
||||
for more information on different versions. All versions can be
|
||||
downloaded from the "LAMMPS WWW Site"_lws.
|
||||
|
||||
LAMMPS was originally developed under a US Department of Energy CRADA
|
||||
(Cooperative Research and Development Agreement) between two DOE labs
|
||||
and 3 companies. It is distributed by "Sandia National Labs"_snl.
|
||||
See "this section"_#1_5 for more information on LAMMPS funding and
|
||||
individuals who have contributed to LAMMPS.
|
||||
|
||||
:link(snl,http://www.sandia.gov)
|
||||
|
||||
In the most general sense, LAMMPS integrates Newton's equations of
|
||||
motion for collections of atoms, molecules, or macroscopic particles
|
||||
that interact via short- or long-range forces with a variety of
|
||||
initial and/or boundary conditions. For computational efficiency
|
||||
LAMMPS uses neighbor lists to keep track of nearby particles. The
|
||||
lists are optimized for systems with particles that are repulsive at
|
||||
short distances, so that the local density of particles never becomes
|
||||
too large. On parallel machines, LAMMPS uses spatial-decomposition
|
||||
techniques to partition the simulation domain into small 3d
|
||||
sub-domains, one of which is assigned to each processor. Processors
|
||||
communicate and store "ghost" atom information for atoms that border
|
||||
their sub-domain. LAMMPS is most efficient (in a parallel sense) for
|
||||
systems whose particles fill a 3d rectangular box with roughly uniform
|
||||
density. Papers with technical details of the algorithms used in
|
||||
LAMMPS are listed in "this section"_#1_5.
|
||||
|
||||
:line
|
||||
|
||||
1.2 LAMMPS features :link(1_2),h4
|
||||
|
||||
This section highlights LAMMPS features, with pointers to specific
|
||||
commands which give more details. If LAMMPS doesn't have your
|
||||
favorite interatomic potential, boundary condition, or atom type, see
|
||||
"this section"_Section_modify.html, which describes how you can add it to
|
||||
LAMMPS.
|
||||
|
||||
Kinds of systems LAMMPS can simulate: :h4
|
||||
("atom style"_atom_style.html command)
|
||||
|
||||
atomic (e.g. box of Lennard-Jonesium)
|
||||
bead-spring polymers
|
||||
united-atom polymers or organic molecules
|
||||
all-atom polymers, organic molecules, proteins, DNA
|
||||
metals
|
||||
granular materials
|
||||
hybrid systems :ul
|
||||
|
||||
Force fields: :h4
|
||||
("pair style"_pair_style.html, "bond style"_bond_style.html,
|
||||
"angle style"_angle_style.html, "dihedral style"_dihedral_style.html,
|
||||
"improper style"_improper_style.html, "kspace style"_kspace_style.html
|
||||
commands)
|
||||
|
||||
pairwise potentials: Lennard-Jones, Coulombic, Buckingham, Morse, \
|
||||
Yukawa, embedded atom method (EAM, Finnis/Sinclair), frictional granular,
|
||||
Debye, soft, DPD, class 2 (COMPASS), tabulated, hybrid
|
||||
bond potentials: harmonic, FENE, Morse, nonlinear, class 2, \
|
||||
quartic (breakable), hybrid
|
||||
angle potentials: harmonic, CHARMM, cosine, cosine/squared, \
|
||||
class 2 (COMPASS), hybrid
|
||||
dihedral potentials: harmonic, CHARMM, multi-harmonic, helix, \
|
||||
class 2 (COMPASS), OPLS, hybrid
|
||||
improper potentials: harmonic, cvff, class 2 (COMPASS), hybrid
|
||||
polymer potentials: all-atom, united-atom, bead-spring, breakable
|
||||
water potentials: TIP3P, TIP4P, SPC
|
||||
long-range Coulombics: Ewald, PPPM (similar to particle-mesh Ewald)
|
||||
CHARMM, AMBER, OPLS force-field compatability :ul
|
||||
|
||||
Creation of atoms: :h4
|
||||
("read_data"_read_data.html, "lattice"_lattice.html,
|
||||
"create_atoms"_create_atoms.html, "delete_atoms"_delete_atoms.html,
|
||||
"displace_atoms"_displace_atoms.html commands)
|
||||
|
||||
read in atom coords from files
|
||||
create atoms on one or more lattices (e.g. grain boundaries)
|
||||
delete geometric or logical groups of atoms (e.g. voids)
|
||||
displace atoms :ul
|
||||
|
||||
Ensembles, constraints, and boundary conditions: :h4
|
||||
("fix"_fix.html command)
|
||||
|
||||
constant NVE, NVT, NPT, NPH integrators
|
||||
thermostatting options for groups and geometric regions of atoms
|
||||
pressure control via Nose/Hoover barostatting in 1 to 3 dimensions
|
||||
volume rescaling
|
||||
altered motion via velocity and force constraints
|
||||
harmonic (umbrella) constraint forces
|
||||
dragging of atoms to new positions
|
||||
independent or coupled rigid body integration
|
||||
SHAKE bond and angle constraints
|
||||
wall constraints of various kinds
|
||||
targeted molecular dynamics (TMD) constraints
|
||||
gravity :ul
|
||||
|
||||
Integrators: :h4
|
||||
("run"_run.html, "run_style"_run_style.html, "temper"_temper.html commands)
|
||||
|
||||
velocity-Verlet integrator
|
||||
Brownian dynamics
|
||||
energy minimization via conjugate gradient relaxation
|
||||
rRESPA hierarchical timestepping
|
||||
parallel tempering (replica exchange)
|
||||
multiple independent simulations simultaneously :ul
|
||||
|
||||
Output: :h4
|
||||
("dump"_dump.html, "restart"_restart.html commands)
|
||||
|
||||
binary restart files
|
||||
text dump files of atom coords, velocities, other per-atom attributes
|
||||
atom snapshots in native, XYZ, XTC, DCD formats
|
||||
per-atom energy, stress, centro-symmetry parameter :ul
|
||||
|
||||
Pre- and post-processing: :h4
|
||||
|
||||
Our group has also written and released a separate toolkit called
|
||||
"Pizza.py"_pizza which provides tools for doing setup, analysis,
|
||||
plotting, and visualization for LAMMPS simulations. Pizza.py is
|
||||
written in "Python"_python and is available for download from "the
|
||||
Pizza.py WWW site"_pizza.
|
||||
|
||||
:link(pizza,http://www.cs.sandia.gov/~sjplimp/pizza.html)
|
||||
:link(python,http://www.python.org)
|
||||
|
||||
:line
|
||||
|
||||
1.3 LAMMPS non-features :link(1_3),h4
|
||||
|
||||
LAMMPS is designed to efficiently compute Newton's equations of motion
|
||||
for a system of interacting particles. Many of the tools needed to
|
||||
pre- and post-process the data for such simulations are not included
|
||||
in the LAMMPS kernel for several reasons:
|
||||
|
||||
the desire to keep LAMMPS simple
|
||||
they are not parallel operations
|
||||
other codes already do them
|
||||
limited development resources :ul
|
||||
|
||||
Specifically, LAMMPS itself does not:
|
||||
|
||||
run thru a GUI
|
||||
build molecular systems
|
||||
assign force-field coefficients automagically
|
||||
perform sophisticated analyses of your MD simulation
|
||||
visualize your MD simulation
|
||||
plot your output data :ul
|
||||
|
||||
A few tools for pre- and post-processing tasks are provided as part of
|
||||
the LAMMPS package; they are described in "this
|
||||
section"_Section_tools.html. However, many people use other codes or
|
||||
write their own tools for these tasks.
|
||||
|
||||
As noted above, our group has also written and released a separate
|
||||
toolkit called "Pizza.py"_pizza which addresses some of the listed
|
||||
bullets. It provides tools for doing setup, analysis, plotting, and
|
||||
visualization for LAMMPS simulations. Pizza.py is written in
|
||||
"Python"_python and is available for download from "the Pizza.py WWW
|
||||
site"_pizza.
|
||||
|
||||
LAMMPS requires as input a list of initial atom coordinates and types,
|
||||
molecular topology information, and force-field coefficients assigned
|
||||
to all atoms and bonds. LAMMPS will not build molecular systems and
|
||||
assign force-field parameters for you.
|
||||
|
||||
For atomic systems LAMMPS provides a "create_atoms"_create_atoms.html
|
||||
command which places atoms on solid-state lattices (fcc, bcc, etc).
|
||||
Assigning small numbers of force field coefficients can be done via
|
||||
the "pair coeff"_pair_coeff.html, "bond coeff"_bond_coeff.html, "angle
|
||||
coeff"_angle_coeff.html, etc commands. For molecular systems or more
|
||||
complicated simulation geometries, users typically use another code as
|
||||
a builder and convert its output to LAMMPS input format, or write
|
||||
their own code to generate atom coordinate and molecular topology for
|
||||
LAMMPS to read in.
|
||||
|
||||
For complicated molecular systems (e.g. a protein), a multitude of
|
||||
topology information and hundreds of force-field coefficients must
|
||||
typically be specified. We suggest you use a program like
|
||||
"CHARMM"_charmm or "AMBER"_amber or other molecular builders to setup
|
||||
such problems and dump its information to a file. You can then
|
||||
reformat the file as LAMMPS input. Some of the tools in "this
|
||||
section"_Section_tools.html can assist in this process.
|
||||
|
||||
Similarly, LAMMPS creates output files in a simple format. Most users
|
||||
post-process these files with their own analysis tools or re-format
|
||||
them for input into other programs, including visualization packages.
|
||||
If you are convinced you need to compute something on-the-fly as
|
||||
LAMMPS runs, see "this section"_Section_modify.html for a discussion of how you
|
||||
can use the "dump"_dump.html and "fix"_fix.html commands to print out
|
||||
data of your choosing. Keep in mind that complicated computations can
|
||||
slow down the molecular dynamics timestepping, particularly if the
|
||||
computations are not parallel, so it is often better to leave such
|
||||
analysis to post-processing codes.
|
||||
|
||||
A very simple (yet fast) visualizer is provided with the LAMMPS
|
||||
package - see the "xmovie"_Section_tools.html#xmovie tool in "this
|
||||
section"_Section_tools.html. It creates xyz projection views of
|
||||
atomic coordinates and animates them. We find it very useful for
|
||||
debugging purposes. For high-quality visualization we recommend the
|
||||
following packages:
|
||||
|
||||
"Raster3d"_http://www.bmsc.washington.edu/raster3d/raster3d.html
|
||||
"RasMol"_http://www.openrasmol.org
|
||||
"VMD"_http://www.ks.uiuc.edu/Research/vmd
|
||||
"AtomEye"_http://164.107.79.177/Archive/Graphics/A :ul
|
||||
|
||||
Other features that LAMMPS does not yet (and may never) support are
|
||||
discussed in "this section"_Section_history.html.
|
||||
|
||||
Finally, these are freely-available molecular dynamics codes, most of
|
||||
them parallel, which may be well-suited to the problems you want to
|
||||
model. They can also be used in conjunction with LAMMPS to perform
|
||||
complementary modeling tasks.
|
||||
|
||||
"CHARMM"_charmm
|
||||
"AMBER"_amber
|
||||
"NAMD"_namd
|
||||
"NWCHEM"_nwchem
|
||||
"DL_POLY"_dlpoly
|
||||
"Tinker"_tinker :ul
|
||||
|
||||
:link(charmm,http://www.scripps.edu/brooks)
|
||||
:link(amber,http://amber.scripps.edu)
|
||||
:link(namd,http://www.ks.uiuc.edu/Research/namd/)
|
||||
:link(nwchem,http://www.emsl.pnl.gov/docs/nwchem/nwchem.html)
|
||||
:link(dlpoly,http://www.cse.clrc.ac.uk/msi/software/DL_POLY)
|
||||
:link(tinker,http://dasher.wustl.edu/tinker)
|
||||
|
||||
CHARMM, AMBER, NAMD, NWCHEM, and Tinker are designed primarily for
|
||||
modeling biological molecules. CHARMM and AMBER use
|
||||
atom-decomposition (replicated-data) strategies for parallelism; NAMD
|
||||
and NWCHEM use spatial-decomposition approaches, similar to LAMMPS.
|
||||
Tinker is a serial code. DL_POLY includes potentials for a variety of
|
||||
biological and non-biological materials; both a replicated-data and
|
||||
spatial-decomposition version exist.
|
||||
|
||||
:line
|
||||
|
||||
1.4 Open source distribution :link(1_4),h4
|
||||
|
||||
LAMMPS comes with no warranty of any kind. As each source file states
|
||||
in its header, it is a copyrighted code that is distributed free-of-
|
||||
charge, under the terms of the "GNU Public License"_gnu (GPL). This
|
||||
is often referred to as open-source distribution - see
|
||||
"www.gnu.org"_gnuorg or "www.opensource.org"_opensource for more
|
||||
details. The legal text of the GPL is in the LICENSE file that is
|
||||
included in the LAMMPS distribution.
|
||||
|
||||
:link(gnuorg,http://www.gnu.org)
|
||||
:link(opensource,http://www.opensource.org)
|
||||
|
||||
Here is a summary of what the GPL means for LAMMPS users:
|
||||
|
||||
(1) Anyone is free to use, modify, or extend LAMMPS in any way they
|
||||
choose, including for commercial purposes.
|
||||
|
||||
(2) If you distribute a modified version of LAMMPS, it must remain
|
||||
open-source, meaning you distribute it under the terms of the GPL.
|
||||
You should clearly annotate such a code as a derivative version of
|
||||
LAMMPS.
|
||||
|
||||
(3) If you release any code that includes LAMMPS source code, then it
|
||||
must also be open-sourced, meaning you distribute it under the terms
|
||||
of the GPL.
|
||||
|
||||
(4) If you give LAMMPS files to someone else, the GPL LICENSE file and
|
||||
source file headers (including the copyright and GPL notices) should
|
||||
remain part of the code.
|
||||
|
||||
In the spirit of an open-source code, these are various ways you can
|
||||
contribute to making LAMMPS better. You can send "email"_email on any
|
||||
of these items.
|
||||
|
||||
:link(email,mailto:sjplimp@sandia.gov)
|
||||
|
||||
Point prospective users to the "LAMMPS WWW Site"_lws. Mention it in
|
||||
talks or link to it from your WWW site. :ulb,l
|
||||
|
||||
If you find an error or omission in this manual or on the "LAMMPS WWW
|
||||
Site"_lws, or have a suggestion for something to clarify or include,
|
||||
send an email. :l
|
||||
|
||||
If you find a bug, "this section"_Section_errors.html#9_2 describes
|
||||
how to report it. :l
|
||||
|
||||
If you publish a paper using LAMMPS results, send the citation (and
|
||||
any cool pictures or movies if you like) to add to the Publications,
|
||||
Pictures, and Movies pages of the "LAMMPS WWW Site"_lws, with links
|
||||
and attributions back to you. :l
|
||||
|
||||
Create a new Makefile.machine that can be added to the src/MAKE
|
||||
directory. :l
|
||||
|
||||
The tools sub-directory of the LAMMPS distribution has various
|
||||
stand-alone codes for pre- and post-processing of LAMMPS data. More
|
||||
details are given in "this section"_Section_tools.html. If you write
|
||||
a new tool that users will find useful, it can be added to the LAMMPS
|
||||
distribution. :l
|
||||
|
||||
LAMMPS is designed to be easy to extend with new code for features
|
||||
like potentials, boundary conditions, diagnostic computations, etc.
|
||||
"This section"_Section_modify.html gives details. If you add a
|
||||
feature of general interest, it can be added to the LAMMPS
|
||||
distribution. :l
|
||||
|
||||
The Benchmark page of the "LAMMPS WWW Site"_lws lists LAMMPS
|
||||
performance on various platforms. The files needed to run the
|
||||
benchmarks are part of the LAMMPS distribution. If your machine is
|
||||
sufficiently different from those listed, your timing data can be
|
||||
added to the page. :l
|
||||
|
||||
You can send feedback for the User Comments page of the "LAMMPS WWW
|
||||
Site"_lws. It might be added to the page. No promises. :l
|
||||
|
||||
Cash. Small denominations, unmarked bills preferred. Paper sack OK.
|
||||
Leave on desk. "VISA"_email also accepted. Chocolate chip cookies
|
||||
encouraged. :ule,l
|
||||
|
||||
:line
|
||||
|
||||
1.5 Acknowledgments and citations :h4,link(1_5)
|
||||
|
||||
LAMMPS development has been funded by the "US Department of
|
||||
Energy"_doe (DOE), through its CRADA, LDRD, ASCI, and Genomes-to-Life
|
||||
programs and its "OASCR"_oascr and "OBER"_ober offices.
|
||||
|
||||
Specifically, work on the latest version was funded in part by the US
|
||||
Department of Energy's Genomics:GTL program
|
||||
("www.doegenomestolife.org"_gtl) under the "project"_ourgtl, "Carbon
|
||||
Sequestration in Synechococcus Sp.: From Molecular Machines to
|
||||
Hierarchical Modeling".
|
||||
|
||||
:link(doe,http://www.doe.gov)
|
||||
:link(gtl,http://www.doegenomestolife.org)
|
||||
:link(ourgtl,http://www.genomes2life.org)
|
||||
:link(oascr,http://www.sc.doe.gov/ascr/home.html)
|
||||
:link(ober,http://www.er.doe.gov/production/ober/ober_top.html)
|
||||
|
||||
The following papers describe the parallel algorithms used in LAMMPS.
|
||||
|
||||
S. J. Plimpton, [Fast Parallel Algorithms for Short-Range Molecular
|
||||
Dynamics], J Comp Phys, 117, 1-19 (1995).
|
||||
|
||||
S. J. Plimpton, R. Pollock, M. Stevens, [Particle-Mesh Ewald and
|
||||
rRESPA for Parallel Molecular Dynamics Simulations], in Proc of the
|
||||
Eighth SIAM Conference on Parallel Processing for Scientific
|
||||
Computing, Minneapolis, MN (March 1997).
|
||||
|
||||
If you use LAMMPS results in your published work, please cite the J
|
||||
Comp Phys reference and include a pointer to the "LAMMPS WWW Site"_lws
|
||||
(www.cs.sandia.gov/~sjplimp/lammps.html). A paper describing the
|
||||
latest version of LAMMPS is in the works; when it appears in print,
|
||||
you can check the "LAMMPS WWW Site"_lws for a more current citation.
|
||||
|
||||
If you send me information about your publication, I'll be pleased to
|
||||
add it to the Publications page of the "LAMMPS WWW Site"_lws. Ditto
|
||||
for a picture or movie for the Pictures or Movies pages.
|
||||
|
||||
The primary author of LAMMPS is "Steve Plimpton"_sjp at Sandia
|
||||
National Labs. Others have made significant contributions to the
|
||||
code:
|
||||
|
||||
:link(sjp,http://www.cs.sandia.gov/~sjplimp)
|
||||
|
||||
Ewald and PPPM solvers: Roy Pollock (LLNL)
|
||||
rRESPA: Mark Stevens & Paul Crozier (Sandia)
|
||||
NVT/NPT integrators: Mark Stevens (Sandia)
|
||||
class 2 force fields: Eric Simon (Cray)
|
||||
HTFN energy minimizer: Todd Plantenga (Sandia)
|
||||
msi2lmp tool: Steve Lustig (Dupont), Mike Peachey & John Carpenter (Cray)
|
||||
CHARMM force fields: Paul Crozier (Sandia)
|
||||
2d Ewald/PPPM: Paul Crozier (Sandia)
|
||||
granular force fields and BC: Leo Silbert & Gary Grest (Sandia)
|
||||
multi-harmonic dihedral potential: Mathias Putz (Sandia)
|
||||
EAM potentials: Stephen Foiles (Sandia)
|
||||
parallel tempering: Mark Sears (Sandia)
|
||||
lmp2cfg and lmp2traj tools: Ara Kooser, Jeff Greathouse, Andrey Kalinichev (Sandia)
|
||||
FFT support for SGI SCLS (Altix): Jim Shepherd (Ga Tech)
|
||||
targeted molecular dynamics (TMD): Paul Crozier (Sandia), Christian Burisch (Bochum Univeristy, Germany)
|
||||
force tables for long-range Coulombics: Paul Crozier (Sandia)
|
||||
radial distribution functions: Paul Crozier & Jeff Greathouse (Sandia)
|
||||
Morse bond potential: Jeff Greathouse (Sandia)
|
||||
CHARMM <-> LAMMPS tool: Pieter in't Veld and Paul Crozier (Sandia)
|
||||
AMBER <-> LAMMPS tool: Keir Novik (Univ College London) and Vikas Varshney (U Akron)
|
||||
electric field fix: Christina Payne (Vanderbilt U)
|
||||
cylindrical indenter fix: Ravi Agrawal (Northwestern U)
|
||||
compressed dump files: Erik Luijten (U Illinois)
|
||||
thermodynamics enhanced by fix quantities: Aidan Thompson (Sandia)
|
||||
uniaxial strain fix: Carsten Svaneborg (Max Planck Institute)
|
||||
TIP4P potential (4-site water): Ahmed Ismail and Amalie Frischknecht (Sandia)
|
||||
dissipative particle dynamics (DPD) potentials: Kurt Smith (U Pitt) and \
|
||||
Frank van Swol (Sandia)
|
||||
Finnis/Sinclair EAM: Tim Lau (MIT)
|
||||
helix dihedral potential : Naveen Michaud-Agrawal (Johns Hopkins U) and \
|
||||
Mark Stevens (Sandia)
|
||||
cosine/squared angle potential : Naveen Michaud-Agrawal (Johns Hopkins U)
|
||||
EAM CoAl and AlCu potentials : Kwang-Reoul Lee (KIST, Korea)
|
||||
self spring fix : Naveen Michaud-Agrawal (Johns Hopkins U)
|
||||
radius-of-gyration spring fix : Naveen Michaud-Agrawal (Johns Hopkins U) and \
|
||||
Paul Crozier (Sandia)
|
||||
lj/smooth pair potential : Craig Maloney (UCSB)
|
||||
grain boundary orientation fix : Koenraad Janssens and David Olmsted (SNL)
|
||||
DCD and XTC dump styles: Naveen Michaud-Agrawal (Johns Hopkins U)
|
||||
breakable bond quartic potential: Chris Lorenz and Mark Stevens (SNL)
|
||||
faster pair hybrid potential: James Fischer \
|
||||
(High Performance Technologies, Inc), Vincent Natoli and \
|
||||
David Richie (Stone Ridge Technology)
|
||||
POEMS coupled rigid body integrator: Rudranarayan Mukherjee (RPI) :tb(s=:)
|
||||
|
||||
Other CRADA partners involved in the design and testing of LAMMPS were
|
||||
|
||||
John Carpenter (Mayo Clinic, formerly at Cray Research)
|
||||
Terry Stouch (Lexicon Pharmaceuticals, formerly at Bristol Myers Squibb)
|
||||
Steve Lustig (Dupont)
|
||||
Jim Belak (LLNL) :ul
|
||||
Reference in New Issue
Block a user