Multiscale Greens functions for modeling of nanomaterials: Bridging length and time scales
Vinod K. Tewary
Green's function gives the response of a system to a probe and is a powerful technique for solving a variety of problems in science and engineering. We describes a multiscale Green's function method for modeling nanomaterials at different length and time scales. In the static case the method can seamlessly link the length scales from atomistic to continuum in an integrated formalism. In time-dependent problems, this method can simulate physical processes in a multipartcle system over a wide range extending from femto seconds to micro seconds within a reasonable CPU time. For illustration, the method is applied to simulate elastic deformation and propagation of elastic waves in two-dimensional graphene.
Modeling, characterization, and production of nanomaterials