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SO3krates and Universal Pairwise Force Field for Molecular Simulation

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About

SO3LR - pronounced Solar - is a pretrained machine-learned force field for (bio)molecular simulations. It integrates the fast and stable SO3krates neural network for semi-local interactions with universal pairwise force fields designed for short-range repulsion, long-range electrostatics, and dispersion interactions.

Installation

First clone the repository and install by doing

git clone https://github.com/general-molecular-simulations/so3lr.git
cd so3lr
pip install .

Atomic Simulation Environment

To get an Atomic Simulation Environment (ASE) calculator with energies and forces predicted from SO3LR just do

import numpy as np

from so3lr import So3lrCalculator
from ase import Atoms

atoms = Atoms(...)
calc = So3lrCalculator(
    calculate_stress=False,
    dtype=np.float32
)
atoms.calc = calc

energy = atoms.get_potential_energy()
forces = atoms.get_forces()

print('Energy and forces in ASE')
print('Energy = ', energy)
print('Forces = ', forces)

JAX MD

Large scale simulations can be performed via jax-md which is a molecular dynamics library optimized for GPUs. Here we give a small example for a structure in vacuum. For realistic simulations with periodic water boxes take a look at the ./examples/ folder.

import jax
import jax.numpy as jnp
import numpy as np

from ase import Atoms
from jax_md import space
from jax_md import quantity

from so3lr import to_jax_md
from so3lr import So3lrPotential

atoms = Atoms(...)
assert np.asarray(
        atoms.get_pbc()
    ).all().item() is False, "Readme example assumes no box. See `examples/` folder for simulations in box."

positions = jnp.array(atoms.get_positions())
atomic_numbers = jnp.array(atoms.get_atomic_numbers()) 

# We assume there is no box.
box = None
displacement, shift = space.free()

neighbor_fn, neighbor_fn_lr, energy_fn = to_jax_md(
    potential=So3lrPotential(),
    displacement_or_metric=displacement,
    box_size=box,
    species=atomic_numbers,
    capacity_multiplier=1.25,
    buffer_size_multiplier_sr=1.25,
    buffer_size_multiplier_lr=1.25,
    minimum_cell_size_multiplier_sr=1.0,
    disable_cell_list=True,
    fractional_coordinates=False
)

# Energy and force functions.
energy_fn = jax.jit(energy_fn)
force_fn = jax.jit(quantity.force(energy_fn))

# Initialize the short and long-range neighbor lists.
nbrs = neighbor_fn.allocate(
    positions, 
    box=box
)
nbrs_lr = neighbor_fn_lr.allocate(
    positions, 
    box=box
)
energy = energy_fn(
    positions, 
    neighbor=nbrs.idx,
    neighbor_lr=nbrs_lr.idx,
    box=box
)
forces = force_fn(
    positions, 
    neighbor=nbrs.idx,
    neighbor_lr=nbrs_lr.idx,
    box=box
)
print('Energy and forces in JAX-MD')
print('Energy = ', np.array(energy))
print('Forces = ', np.array(forces))

Potential energy function

To obtain a potential energy function which is not specifally tailored for jax-md we provide a convenience interface. You can do

from so3lr import So3lrPotential
from so3lr import Graph

graph = Graph(...)

so3lr_potential = So3lrPotential()

energy = so3lr_potential(graph)

The Graph object is a collections.namedtuple which abstracts the molecule as a graph common practice in the context of message passing neural networks. The So3lrPotential is a pure python function which takes a graph as an input and returns a potential energy. It is compatible with common jax transformations as jax.jit, jax.vmap, jax.grad, .... Its use targets developers, interested in integrating SO3LR into their own MD code base. From a high-level perspective, all that needs to be done is to define some function system_to_graph which transforms whatever input structure one has to a Graph object. Passed to so3lr_potential one gets the potential energy of the system.

TODO

  • Upload the used datasets
  • Add FHI-aims calculation example
  • Fix typos in tutorial notebooks
  • Add functionality to extract observables (dipole moments etc) on a higher level

Citation

If you use parts of the code please cite

@article{kabylda2024molecular,
  title={Molecular Simulations with a Pretrained Neural Network and Universal Pairwise Force Fields},
  author={Kabylda, A. and Frank, J. T. and Dou, S. S. and Khabibrakhmanov, A. and Sandonas, L. M.
          and Unke, O. T. and Chmiela, S. and M{\"u}ller, K.R. and Tkatchenko, A.},
  journal={ChemRxiv},
  year={2024},
  doi={10.26434/chemrxiv-2024-bdfr0}
}

@article{frank2024euclidean,
  title={A Euclidean transformer for fast and stable machine learned force fields},
  author={Frank, Thorben and Unke, Oliver and M{\"u}ller, Klaus-Robert and Chmiela, Stefan},
  journal={Nature Communications},
  volume={15},
  number={1},
  pages={6539},
  year={2024}
}

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