title: Ground states and formal duality relations in the Gaussian core model.
abstract: We study dimensional trends in ground states for soft-matter systems. Specifically, using a high-dimensional version of Parrinello-Rahman dynamics, we investigate the behavior of the Gaussian core model in up to eight dimensions. The results include unexpected geometric structures, with surprising anisotropy as well as formal duality relations. These duality relations suggest that the Gaussian core model possesses unexplored symmetries, and they have implications for a broad range of soft-core potentials.
authors.affiliation: Microsoft Research New England, One Memorial Drive, Cambridge, Massachusetts 02142, USA. cohn@microsoft.com
authors.forename: Henry
authors.initials: H
authors.lastname: Cohn
authors.forename: Abhinav
authors.initials: A
authors.lastname: Kumar
authors.forename: Achill
authors.initials: A
authors.lastname: Schürmann
mesh_terms: D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D016011:Normal Distribution; D011108:Polymers / Q000737:chemistry*
chemical_list: D011108:Polymers