fix pafi command¶
fix ID group-ID pafi compute-ID Temp Tdamp seed keyword values...
ID, group-ID are documented in fix command
pafi = style name of this fix command
compute-ID = ID of a compute property/atom that holds data used by this fix
Temp = desired temperature (temperature units)
Tdamp = damping parameter (time units)
seed = random number seed to use for white noise (positive integer)
keyword = overdamped or com
overdamped value = yes or no or 1 or 0 yes or 1 = Brownian (overdamped) integration in hyperplane no or 0 = Langevin integration in hyperplane com value = yes or no or 1 or 0 yes or 1 = zero linear momentum, fixing center or mass (recommended) no or 0 = do not zero linear momentum, allowing center of mass drift
compute pa all property/atom d_nx d_ny d_nz d_dnx d_dny d_dnz d_ddnx d_ddny d_ddnz run 0 post no fix hp all pafi pa 500.0 0.01 434 overdamped yes
Perform Brownian or Langevin integration whilst constraining the system to lie in some hyperplane, which is expected to be the tangent plane to some reference pathway in a solid state system. The instantaneous value of a modified force projection is also calculated, whose time integral can be shown to be equal to the true free energy gradient along the minimum free energy path local to the reference pathway. A detailed discussion of the projection technique can be found in (Swinburne).
This fix can be used with LAMMPS as demonstrated in examples/USER/misc/pafi, though it is primarily intended to be coupled with the PAFI C++ code, developed at https://github.com/tomswinburne/pafi, which distributes multiple LAMMPS workers in parallel to compute and collate hyperplane-constrained averages, allowing the calculation of free energy barriers and pathways.
A compute property/atom must be provided with 9 fields per atom coordinate, which in order are the x,y,z coordinates of a configuration on the reference path, the x,y,z coordinates of the path tangent (derivative of path position with path coordinate) and the x,y,z coordinates of the change in tangent (derivative of path tangent with path coordinate).
A 4-element vector is also calculated by this fix. The 4 components are the modified projected force, its square, the expected projection of the minimum free energy path tangent on the reference path tangent and the minimum image distance between the current configuration and the reference configuration, projected along the path tangent. This latter value should be essentially zero.
When com=yes/1, which is recommended, the provided tangent vector must also have zero center of mass. This can be achieved by subtracting from each coordinate of the path tangent the average x,y,z value. The PAFI C++ code (see above) can generate these paths for use in LAMMPS.
When overdamped=yes/1, the Tdamp parameter should be around 5-10 times smaller than that used in typical Langevin integration. See fix langevin for typical values.
Restart, fix_modify, output, run start/stop, minimize info¶
This fix produces a global vector each timestep which can be accessed by various output commands.
This fix is part of the USER-MISC package. It is only enabled if LAMMPS was built with that package. See the Build package doc page for more info.
The option defaults are com = yes, overdamped = no
(Swinburne) Swinburne and Marinica, Physical Review Letters, 120, 1 (2018)