Discrete-to-Continuum Limits of Multibody Systems with Bulk and Surface Long-Range Interactions
Discrete-to-Continuum Limits of Multibody Systems with Bulk and Surface Long-Range Interactions
We study the atomistic-to-continuum limit of a class of energy functionals for crystalline materials via Gamma-convergence. We consider energy densities that may depend on interactions between all points of the lattice, and we give conditions that ensure compactness and integral representation of the continuum limit on the space of special …