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Phys Rev Lett. 2010 Feb 19;104(7):070404. doi: 10.1103/PhysRevLett.104.070404. Epub 2010 Feb 19.

Universal scaling laws for dispersion interactions.

Physical review letters

Stefan Yoshi Buhmann, Stefan Scheel, James Babington

Affiliations

  1. Quantum Optics and Laser Science, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom.

PMID: 20366864 DOI: 10.1103/PhysRevLett.104.070404

Abstract

We study the scaling behavior of dispersion potentials and forces under very general conditions. We prove that a rescaling of an arbitrary geometric arrangement by a factor a changes the atom-atom and atom-body potentials in the long-distance limit by factors 1/a{7} and 1/a{4}, respectively, and the Casimir force per unit area by 1/a{4}. In the short-distance regime, electric and magnetic bodies lead to different scaling behavior. As applications, we present scaling functions for two atom-body potentials and display the equipotential lines of a plate-assisted two-atom potential.

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