Effective screening of medium-assisted Van der Waals interactions between embedded particles

Abstract

The effect of an implicit medium on dispersive interactions of particle pairs is discussed and simple expressions for the correction relative to vacuum are derived. We show that a single point Gauss quadrature leads to the intuitive result that the vacuum van der Waals $C_6$ coefficient is screened by the permittivity squared of the environment evaluated near to the resonance frequencies of the interacting particles. This approximation should be particularly relevant if the medium is transparent at these frequencies. In the manuscript, we provide simple models and sets of parameters for commonly used solvents, atoms and small molecules.

References in corpus (12)

• van der Waals forces in density functional theory: The vdW-DF method
• Determination of Atom-Surface van der Waals Potentials from Transmission-Grating Diffraction Intensities
• Real-time single-molecule imaging of quantum interference
• Repulsive Casimir forces between solid materials with high refractive index intervening liquids
• Effective Polarisability Models
• Local-field correction to one- and two-atom van der Waals interactions
• Surface van der Waals Forces in a Nutshell
• Macroscopic Quantum Electrodynamics and Density Functional Theory Approaches to Dispersion Interactions between Fullerenes
• Impact of effective polarisability models on the predicted release dynamics of CH${}_4$ and CO${}_2$ from premelted ice
• Non-trivial retardation effects in dispersion forces: From anomalous distance dependence to novel traps
• Quantum dynamics of Rb atoms desorbing off the surface of He nanodroplets
• Reliable computational prediction of supramolecular ordering of complex molecules under electrochemical conditions

Cited by in corpus (1)

• A Green-function unification of weak interactions with environmental dressing