A Multiscale Factorization Method for Simulating Mesoscopic Systems with Atomic Precision

Mesoscopic $N-$atom systems derive their structural and dynamical properties from processes coupled across multiple scales in space and time. An efficient method for understanding these systems in the friction dominated regime from the underlying N-atom formulation is presented. The method integrates notions of multiscale analysis, Trotter factorization, and a hypothesis that the momenta conjugate to coarse-grained variables can be treated as a stationary random process. The method is demonstrated for Lactoferrin, Nudaurelia Capensis Omega Virus, and Cowpea Chlorotic Mottle Virus to assess its accuracy and scaling with system size.