Quantum-mechanically
driven charge polarization and charge transfer
are ubiquitous in biomolecular systems, controlling reaction rates,
allosteric interactions, ligand–protein binding, membrane transport,
and dynamically driven structural transformations. Molecular dynamics
(MD) simulations of these processes require quantum mechanical (QM)
information in order to accurately describe their reactive dynamics.
However, current techniquesempirical force fields, subsystem
approaches, ab initio MD, and machine learningvary
in their ability to achieve a consistent chemical description across
multiple atom types, and at scale. Here we present a physics-based,
atomistic force field, the ensemble DFT charge-transfer embedded-atom
method, in which QM forces are described at a uniform level
of theory across all atoms, avoiding the need for explicit solution
of the Schrödinger equation or large, precomputed training
data sets. Coupling between the electronic and atomistic length scales
is effected through an ensemble density functional theory formulation
of the embedded-atom method originally developed for elemental materials.
Charge transfer is expressed in terms of ensembles of ionic state basis densities of individual atoms, and charge polarization,
in terms of atomic excited-state basis densities.
This provides a highly compact yet general representation of the force
field, encompassing both local and system-wide effects. Charge rearrangement
is realized through the evolution of ensemble weights, adjusted at
each dynamical time step via chemical potential equalization.