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We introduce a diffuse interface model for the phenomenon of electrowetting on dielectric and present an analysis of the arising system of equations. Moreover, we study discretization techniques for the problem. The model takes into account…

Numerical Analysis · Mathematics 2011-12-30 Ricardo H. Nochetto , Abner J. Salgado , Shawn W. Walker

We consider the conductance of a one-dimensional wire interrupted by a double-barrier structure allowing for a resonant level. Using the electron-electron interaction strength as a small parameter, we are able to build a non-perturbative…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu. V. Nazarov , L. I. Glazman

We study the screening of the Coulomb interaction in a quasi one-dimensional superconductor given by the presence of either a one- or a two-dimensional non-interacting electron gas. To that end, we derive an effective low-energy phase-only…

Superconductivity · Physics 2012-09-03 Alejandro M. Lobos , Thierry Giamarchi

Using electric dipoles to describe light-matter interactions between two entities is a conventional approximation in physics, chemistry, and material sciences. However, the lack of material structures makes the approximation inadequate when…

Chemical Physics · Physics 2023-05-24 Ming-Wei Lee , Liang-Yan Hsu

We investigate the effect of electron-electron interactions on proximity-induced $s$-wave superconductivity in one-dimensional nanowires. We treat the interactions on a self-consistent mean-field level, and find an analytic expression for…

Mesoscale and Nanoscale Physics · Physics 2015-04-30 Jeroen Danon , Karsten Flensberg

We calculate the van der Waals dispersive interaction between a neutral but polarizable atom and a perfectly conducting isolated sphere in the nonretarded case. We make use of two separate models, one being the semiclassical…

Quantum Physics · Physics 2009-03-13 M. M. Taddei , T. N. C. Mendes , C. Farina

We use different semi-empirical dispersion correction schemes to assess the role of long-range van der Waals interactions in the adsorption of the prototypical molecular switch azobenzene (C6H5-N2-C6H5) at the coinage metal surfaces…

Materials Science · Physics 2011-06-20 Erik McNellis , Jorg Meyer , Karsten Reuter

The van der Waals (vdW) density functional (vdW-DF) method [ROPP 78, 066501 (2015)] describes dispersion or vdW binding by tracking the effects of an electrodynamic coupling among pairs of electrons and their associated exchange-correlation…

Strongly Correlated Electrons · Physics 2018-02-21 Yang Jiao , Elsebeth Schröder , Per Hyldgaard

A recent study by Panchagnula et al. [J. Chem. Phys. 161, 054308 (2024)] illustrated the non-concordance of a variety of electronic structure methods at describing the symmetric double-well potential expected along the anisotropic direction…

Chemical Physics · Physics 2025-10-28 K. Panchagnula , D. Graf , K. R. Bryenton , D. P. Tew , E. R. Johnson , A. J. W. Thom

Mutual Coulomb interactions between electrons lead to a plethora of interesting physical and chemical effects, especially if those interactions involve many fluctuating electrons over large spatial scales. Here, we identify and study in…

A new scheme for the computation of dispersive interactions from first principles is presented. This cost-effective approach relies on a Wannier function representation compatible with density function theory descriptions. This is an…

Materials Science · Physics 2025-02-04 Diem Thi-Xuan Dang , Dai-Nam Le , Lilia M. Woods

Van der Waals materials such as thin films of transition-metal dichalcogenides (TMDCs) manifest strongly bound exciton states in the visible spectrum at ambient conditions that provide an ideal platform for exciton-photon couplings.…

Optics · Physics 2025-07-15 Fatemeh Davoodi , Nahid Talebi

Filamentary objects such as nano-wires, nanotubes and DNA are of current interest in physics, nanoscience, chemistry, biology and medicine. They can interact via strong, exceptionally long-ranged many-object van der Waals (vdW, dispersion)…

Materials Science · Physics 2026-02-24 Subhojit Pal , John F. Dobson , Mathias Boström

The paper develops a weakly nonlinear theory of Poincare waves. The nondegeneracy of the Poincare wave dispersion law leads to the presence of resonant interactions in perturbation theory. A study of the dispersion relation of Poincare…

Pattern Formation and Solitons · Physics 2025-08-27 D. A. Klimachkov , A. S. Petrosyan

The motion of a contact line is examined, and comparisons drawn, for a variety of models proposed in the literature. Pressure and stress behaviours at the contact line are examined in the prototype system of quasistatic spreading of a thin…

Fluid Dynamics · Physics 2014-09-02 David N. Sibley , Andreas Nold , Nikos Savva , Serafim Kalliadasis

We consider one-dimensional transport through an interacting region in series with a point-like one-body scatterer. When the conductance of the interacting region is perfect, independently of the interaction strength, a nonlocal interaction…

Mesoscale and Nanoscale Physics · Physics 2008-11-27 Dietmar Weinmann , Rodolfo A. Jalabert , Axel Freyn , Gert-Ludwig Ingold , Jean-Louis Pichard

The non-additive dispersion contribution to the binding energy of three one-dimensional (1D) wires is investigated using wires modelled by (i) chains of hydrogen atoms and (ii) homogeneous electron gases. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2014-02-05 Alston J. Misquitta , Ryo Maezono , Neil D. Drummond , Anthony J. Stone , Richard J. Needs

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

Modern electronic-structure theory defines dispersion interactions as connected intramonomer excitations. Using this definition, dispersion contributions have been shown in literature to be large relative to other contributions at van der…

Chemical Physics · Physics 2025-12-15 Alice Balbi , Andrea Rygg Aagaard , Sarai Dery Folkestad , Ida-Marie Høyvik

In a recent paper, we combined the technique of bosonization with the concept of a Rayleigh dissipation function to develop a model for resistances in one-dimensional systems of interacting spinless electrons [arXiv:1011.5058]. We also…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Abhiram Soori , Diptiman Sen