Analysis of the quasi-nonlocal quasicontinuum approximation of the embedded atom model
X. H. Li and M. Luskin
International Journal for Multiscale Computational Engineering, 10, 33–49 (2012).


The quasi-nonlocal quasicontinuum method (QNL) is a consistent hybrid coupling method for atomistic and continuum models. Embedded atom models are empirical many-body potentials that are widely used for fcc metals such as copper and aluminum. In this paper, we consider the QNL method for EAM potentials and give a stability and error analysis for a chain with next-nearest-neighbor interactions. We identify conditions for the pair potential, electron density function, and embedding function so that the
lattice stability of the atomistic and EAM-QNL models are asymptotically equal.