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We propose an accurate and energy-stable parametric finite element method for solving the sharp-interface continuum model of solid-state dewetting in three-dimensional space. The model describes the motion of the film\slash vapor interface…

Numerical Analysis · Mathematics 2023-07-04 Weizhu Bao , Quan Zhao

We propose a physically based analytical compact model to calculate Eigen energies and Wave functions which incorporates penetration effect. The model is applicable for a quantum well structure that frequently appears in modern nano-scale…

Due to efficient scaling with electron number N, density functional theory (DFT) is widely used for studies of large molecules and solids. Restriction of an exact mean-field theory to local potential functions has recently been questioned.…

Other Condensed Matter · Physics 2015-06-24 Robert K. Nesbet

Million-atom quantum simulations are in principle feasible with Orbital-Free Density Functional Theory (OF-DFT) because the algorithms only require simple functional minimizations with respect to the electron density function. In this…

Materials Science · Physics 2019-07-17 Wenhui Mi , Michele Pavanello

In this work, the solvation and electronic structure of the aqueous chloride ion solution was investigated using Density Functional Theory (DFT) based \textit{ab initio} molecular dynamics (AIMD). From an analysis of radial distribution…

We consider an osmotic equilibrium between bulk solutions of polyelectrolyte bounded by semipermeable membranes and separated by a thin film of salt-free liquid. Although the membranes are neutral, the counter-ions of the polyelectrolyte…

Soft Condensed Matter · Physics 2012-01-19 Olga I. Vinogradova , Lyderic Bocquet , Artem N. Bogdanov , Roumen Tsekov , Vladimir Lobaskin

The computational study of chemical reactions in complex, wet environments is critical for applications in many fields. It is often essential to study chemical reactions in the presence of applied electrochemical potentials, taking into…

Materials Science · Physics 2016-01-20 G. Fisicaro , L. Genovese , O. Andreussi , N. Marzari , S. Goedecker

The accurate modeling of the dielectric properties of water is crucial for many applications in physics, computational chemistry and molecular biology. This becomes possible in the framework of nonlocal electrostatics, for which we propose…

Classical Physics · Physics 2009-11-10 A. Hildebrandt , R. Blossey , S. Rjasanow , O. Kohlbacher , H. -P. Lenhof

Understanding the response of the surface of metallic solids to external electric field sources is crucial to characterize electrode-electrolyte interfaces. Continuum electrostatics offer a simple description of the induced charge density…

Chemical Physics · Physics 2021-12-14 Giovanni Pireddu , Laura Scalfi , Benjamin Rotenberg

By partitioning the electron density into subsystem contributions, the Frozen Density Embedding (FDE) formulation of subsystem DFT has recently emerged as a powerful tool for reducing the computational scaling of Kohn--Sham DFT. To date,…

Materials Science · Physics 2015-06-22 Alessandro Genova , Davide Ceresoli , Michele Pavanello

Solids facing a plasma are a common situation in many astrophysical systems and laboratory setups. Moreover, many plasma technology applications rely on the control of the plasma-surface interaction. However, presently often a fundamental…

Plasma Physics · Physics 2019-12-20 M Bonitz , A Filinov , J W Abraham , K Balzer , H Kählert , E Pehlke , FX Bronold , M Pamperin , M M Becker , D Loffhagen , H Fehske

Asymmetric valences in a binary electrolyte can significantly affect the performance of systems such as reverse electrodialysis cells, batteries, and supercapacitors. To generate a theoretical understanding of this effect, we consider a…

Chemical Physics · Physics 2026-05-05 Georgina C. Ryan , Mohit P. Dalwadi , Ian M. Griffiths

We report a new Quantum Mechanical/Molecular Dynamics (QM/MD) simulation loop to model the coupling between the electron and atom dynamics in solid/liquid interfacial systems. The method can describe simultaneously both the quantum…

Materials Science · Physics 2021-02-03 Joshua D Elliott , Alessandro Troisi , Paola Carbone

We develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for…

Superconductivity · Physics 2009-11-13 K. M. Ho , J. Schmalian , C. Z. Wang

Potential flow has many applications, including the modelling of unsteady flows in aerodynamics. For these models to work efficiently, it is best to avoid Biot-Savart interactions. This work presents a grid-based treatment of potential…

Fluid Dynamics · Physics 2022-05-11 Diederik Beckers , Jeff D. Eldredge

Nonelectrochemical hydrogen peroxide direct synthesis (HPDS) under ambient conditions is an environmentally benign and energy-efficient process that produces a green oxidizer. Despite its industrial importance, the reaction mechanism of…

Chemical Physics · Physics 2020-08-12 Min-Cheol Kim , Sang Soo Han

The electric double layer structure in an electrolyte close to a solid substrate near the three-phase contact line is approximated by considering the linearized Poisson-Boltzmann equation in a wedge geometry. The mathematical approach…

Soft Condensed Matter · Physics 2012-09-03 Aaron Dörr , Steffen Hardt

Battery electrode surfaces are generally coated with electronically insulating solid films of thickness 1-50 nm. Both electrons and Li+ can move at the electrode-surface film interface in response to the voltage, which adds complexity to…

Materials Science · Physics 2015-07-10 Kevin Leung , Andrew Leenheer

We consider a set of identical mobile point-like charges (counter-ions) confined to a domain with curved hard walls carrying a uniform fixed surface charge density, the system as a whole being electroneutral. Three domain geometries are…

Soft Condensed Matter · Physics 2016-03-24 Ladislav Samaj , E. Trizac

Electrohydrodynamics is crucial in many nanofluidic and biotechnological applications. In such small scales, the complexity due to the coupling of fluid dynamics with the dynamics of ions is increased by the relevance of thermal…

Fluid Dynamics · Physics 2022-01-19 Alberto Gubbiotti , Mauro Chinappi , Carlo Massimo Casciola
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