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The van der Waals interaction between neutral atoms is typically studied using stationary perturbation theory for the short-distance (London) limit, while long-distance (Casimir-Polder) results are usually derived via semiclassical,…

Quantum Physics · Physics 2025-12-30 L. Saba , C. D. Fosco

We present an efficient implementation of the van der Waals density functional of Dion et al [Phys. Rev. Lett. 92, 246401 (2004)], which expresses the nonlocal correlation energy as a double spacial integral. We factorize the integration…

Materials Science · Physics 2013-05-29 Guillermo Roman-Perez , Jose M. Soler

We analyze a decomposition of the Coulomb electron-electron interaction into a long-range and a short-range part in the framework of density functional theory, deriving some scaling relations and the corresponding virial theorem. We study…

Chemical Physics · Physics 2015-06-26 Julien Toulouse , Paola Gori-Giorgi , Andreas Savin

In the presence of a (time-dependent) macroscopic electric field the electron dynamics of dielectrics cannot be described by the time-dependent density only. We present a real-time formalism that has the density and the macroscopic…

Materials Science · Physics 2016-07-27 M. Grüning , D. Sangalli , C. Attaccalite

The van der Waals dispersion coefficients of a set of polycyclic aromatic hydrocarbons, ranging in size from the single-cycle benzene to circumovalene (C66H20), are calculated with a real-time propagation approach to time-dependent density…

Materials Science · Physics 2009-11-13 Miguel A. L. Marques , Alberto Castro , Giuliano Malloci , Giacomo Mulas , Silvana Botti

We consider sequences of quadratic non-local functionals, depending on a small parameter $\e$, that approximate the Dirichlet integral by a well-known result by Bourgain, Brezis and Mironescu. Similarly to what is done for hard-core…

Analysis of PDEs · Mathematics 2025-06-12 Margherita Solci

Using the multipolar expansion of electrostatic and magnetostatic potential energies, we characterize the long-range interactions between two weakly-bound diatomic molecules, taking as an example the paramagnetic Er$_2$ Feshbach molecules…

Atomic Physics · Physics 2017-04-11 Maxence Lepers , Goulven Quéméner , Eliane Luc-Koenig , Olivier Dulieu

Progress in ultracold experiments with polar molecules requires a clear understanding of their interactions and reactivity at ultra-low collisional energies. Two important theoretical steps in this process are the characterization of…

Atomic Physics · Physics 2015-05-18 Svetlana Kotochigova

We present a local representation of the electronic dielectric response function, based on a spatial partition of the dielectric response into contributions from each Wannier function using a generalized density functional perturbation…

Materials Science · Physics 2016-01-20 Xiaochuan Ge , Deyu Lu

We analyse a path to construct density functionals for the dispersion interaction energy from an expression in terms of the ground state densities and exchange-correlation holes of the isolated fragments. The expression is based on a…

Chemical Physics · Physics 2021-01-27 Derk P. Kooi , Paola Gori-Giorgi

We study structural relaxation of colloidal hard spheres undergoing Brownian motion using dynamical density functional theory. Contrary to the partial linearization route [Stopper {\em et al.}, Phys. Rev. E {\bf 92}, 022151 (2015)] which…

Soft Condensed Matter · Physics 2018-01-16 Daniel Stopper , Roland Roth , Hendrik Hansen-Goos

We study the dispersion interaction of the van der Waals and Casimir-Polder (vdW-CP) type between a neutral atom and the surface of a metal by allowing for nonlocal electrodynamics, i.e. electron diffusion. We consider two models: (i) bulk…

Atomic Physics · Physics 2014-07-23 Elad Eizner , Baruch Horovitz , Carsten Henkel

The paper deals with the analytical integration of interaction potentials between specific geometries such as disks, cylinders, rectangles, and rectangular prisms. Interaction potentials are modeled as inverse-power laws with respect to the…

Computational Physics · Physics 2024-12-02 Aleksandar Borković , Michael H. Gferer , Roger A. Sauer

The fully retarded dispersion interaction between an atom and a cluster or between two clusters is calculated. Results obtained with two different methods are compared. One is to consider a cluster as a collection of many atoms and evaluate…

Atomic and Molecular Clusters · Physics 2009-11-11 Hye-Young Kim , Jorge O. Sofo , Darrell Velegol , Milton W. Cole

We investigate collisions of polar molecules in quasi-2D traps in the presence of an external electric field perpendicular to the collision plane. We use the quantum-defect model characterized by two dimensionless parameters: $y$ and $s$.…

Quantum Physics · Physics 2015-08-17 M. Krych , Z. Idziaszek

The dispersion component of the van der Waals (vdW) interaction in low-dimensional metals is known to exhibit anomalous "Type-C non-additivity" [Int. J. Quantum Chem. 114, 1157 (2014)]. This causes dispersion energy behavior, at…

Mesoscale and Nanoscale Physics · Physics 2023-08-24 John F. Dobson , Alberto Ambroselli

In this paper we employ all-electron time dependent density functional theory (TDDFT) to calculate the long range dipole-dipole dispersion coefficient (van der Waals coefficient) $C_{6}$ of alkali-metal atoms Li, Na, K, alkali-metal atom…

Atomic and Molecular Clusters · Physics 2009-11-13 Arup Banerjee , Jochen Autschbach

We highlight the non-universality of the asymptotic behavior of dispersion forces, such that a sum of inverse sixth power contributions is often inadequate. We analytically evaluate the cross-correlation energy Ec between two pi-conjugated…

Soft Condensed Matter · Physics 2013-05-29 John F. Dobson , Angel Rubio

The atomic dipole polarizability, $\alpha$, and the van der Waals (vdW) radius, $R_{\rm vdW}$, are two key quantities to describe vdW interactions between atoms in molecules and materials. Until now, they have been determined independently…

Chemical Physics · Physics 2018-11-07 Dmitry V. Fedorov , Mainak Sadhukhan , Martin Stöhr , Alexandre Tkatchenko

The interaction energy and minimum energy structure for different geometries of the benzene dimer has been calculated using the recently developed nonlocal correlation energy functional for calculating dispersion interactions. The…

Soft Condensed Matter · Physics 2009-11-11 Aaron Puzder , Maxime Dion , David C. Langreth
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