title: Using the uncertainty principle to design simple interactions for targeted self-assembly.
abstract: We present a method that systematically simplifies isotropic interactions designed for targeted self-assembly. The uncertainty principle is used to show that an optimal simplification is achieved by a combination of heat kernel smoothing and Gaussian screening of the interaction potential in real and reciprocal space. We use this method to analytically design isotropic interactions for self-assembly of complex lattices and of materials with functional properties. The derived interactions are simple enough to narrow the gap between theory and experimental implementation of theory based designed self-assembling materials.
authors.affiliation: Complex Systems Group, Department of Energy and Environment, Chalmers University of Technology, SE-41296 Göteborg, Sweden.
authors.forename: E
authors.initials: E
authors.lastname: Edlund
authors.forename: O
authors.initials: O
authors.lastname: Lindgren
authors.forename: M Nilsson
authors.initials: MN
authors.lastname: Jacobi