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We derive and describe in detail a recently proposed method for obtainingCoulomb interactions as the potential of mean force between charges which aredynamically coupled to a local electromagnetic field. We focus on the MolecularDynamics version of the method and show that it is intimately related to theCar--Parrinello approach, while being equivalent to solving Maxwell's equationswith freely adjustable speed of light. Unphysical self--energies arise as aresult of the lattice interpolation of charges, and are corrected by asubtraction scheme based on the exact lattice Green's function. The method canbe straightforwardly parallelized using standard domain decomposition. Somepreliminary benchmark results are presented.

Coulomb interactions via local dynamics: a molecular-dynamics algorithm