Salvatore Torquato
Department of Chemistry, Department of Physics, Program in Applied and Computational Mathematics, Princeton Institute for the Science and Technology of Materials, Princeton Center for Theoretical Science, Princeton University, Princeton, NJ, 08544

Chase E. Zachary
Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA

Frank H. Stillinger
Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA

Soft Matter 7, Advance article (2011).
Received 20th September 2010, Accepted 19th November 2010.
First published on the web: 06 Jan 2011.
DOI: 10.1039/C0SM01031F, Paper.

Abstract

Duality relations relate the classical ground states for soft many-body interactions, including bounded self-similar functions under Fourier transform, to the corresponding ground states of the Fourier transformed potentials.