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The "catastrophe" in solving the Dirac equation for an electron in the field of a point electric charge, which emerges for the charge numbers Z > 137, is removed in this work by effective accounting of finite dimensions of nuclei. For this…

General Physics · Physics 2017-08-23 V. P. Neznamov , I. I. Safronov

Layered materials tend to exhibit intriguing crystalline symmetries and topological characteristics based on their two dimensional (2D) geometries and defects. We consider the diffusion dynamics of positively charged ions (cations)…

Materials Science · Physics 2022-04-21 Godwill Mbiti Kanyolo , Titus Masese

We present a method of calculating the electric charge density of glass and silica surfaces in contact with aqueous electrolytes for two cases of practical relevance that are not amenable to standard techniques: surfaces of low specific…

Soft Condensed Matter · Physics 2009-11-07 Sven H. Behrens , David G. Grier

We study the electrostatic energy of binary ionic mixtures (BIMs) in the form of Coulomb crystals with the main focus on ordered crystals. We consider 15 different binary bcc-like lattices, accurately calculate their electrostatic energies…

High Energy Astrophysical Phenomena · Physics 2024-11-07 A. A. Kozhberov

The density functional theory (DFT) is used in a study of point defects on both UN (001) surface and sub-surface layers. We compare results for slabs of different thicknesses (both perfect and containing nitrogen or uranium vacancies) with…

Materials Science · Physics 2012-11-27 Dmitry Bocharov , Denis Gryaznov , Yuri F. Zhukovskii , Eugene A. Kotomin

Various types of equilibrium processes involve electric fields. In some cases, the electrical energy appears to be negative (e.g. if the voltage is fixed by an external source). This paper explains how to derive the correct thermo-dynamic…

Classical Physics · Physics 2018-03-23 Shawn W. Walker

The Bragg-Williams free energy is used to incorporate nearest-neighbor interactions into the lattice gas model of a solvent-free ionic liquid near a planar electrode. We calculate the differential capacitance from solutions of the…

Chemical Physics · Physics 2018-12-04 Rachel Downing , Bjorn K. Berntson , Guilherme V. Bossa , Sylvio May

Vacuum energies are computed in light-cone field theories to obtain effective potentials which determine vacuum condensate. Quantization surfaces interpolating between the light-like surface and the usual spatial one are useful to define…

High Energy Physics - Theory · Physics 2011-07-19 Shin-ichi Kojima , Norisuke Sakai , Tadakatsu Sakai

We propose a new numerical method to determine the central charge of the conformal field theory models corresponding to the 2D lattice models. In this method, the free energy of the lattice model on the torus is calculated by the…

Statistical Mechanics · Physics 2017-12-04 P. A. Belov , A. A. Nazarov , A. O. Sorokin

Density functional theory (DFT) is widely used to study defects in monolayer graphene with a view to applications ranging from water filtration to electronics to investigation of radiation damage in graphite moderators. To assess the…

Materials Science · Physics 2022-06-16 D. M. Thomas , Y. Asiri , N. D. Drummond

We have developed a new and user-friendly interface energy calculation method that avoids problems deriving from numerical differences between bulk and slab calculations, such as the number of k points along the direction perpendicular to…

Materials Science · Physics 2018-02-13 Linda A. Zotti , Stefano Sanvito , David D. O'Regan

Lithium-ion (Li-ion) batteries are ubiquitous in electric vehicles (EVs) as efficient energy storage devices. The reliable operation of Li-ion batteries depends critically on the accurate estimation of battery capacity. However,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yang Wang , Marta Zagorowska , Riccardo M. G. Ferrari

We present a simulation scheme to calculate defect formation free energies at a molecular crystal/water interface based on force-field molecular dynamics (MD) simulations. To this end we adopt and modify existing approaches to calculate…

Materials Science · Physics 2015-06-22 Julian Schneider , Chen Zheng , Karsten Reuter

The impact of liquid drops onto solid surfaces leads to conversion of kinetic energy of directed drop motion into various forms of energy including surface energy, vibrational energy, heat, and under suitable conditions, electrical energy.…

Applied Physics · Physics 2020-09-21 Hao Wu , Niels Mendel , Dirk van den Ende , Guofu Zhou , Frieder Mugele

A shape sensitive, variational approach for the matching of surfaces considered as thin elastic shells is investigated. The elasticity functional to be minimized takes into account two different types of nonlinear energies: a membrane…

Optimization and Control · Mathematics 2021-06-09 José A. Iglesias , Martin Rumpf , Otmar Scherzer

Topological defects are an essential part of the structure and dynamics of all liquid crystals, and they are particularly important in experiments and simulations on active liquid crystals. In a recent paper, Vromans and Giomi [Soft Matter,…

Soft Condensed Matter · Physics 2017-08-23 Xingzhou Tang , Jonathan V. Selinger

The self-wetting properties of ionic crystal surfaces are studied, using NaCl(100) as a prototype case. The anomalously large contact angle measured long ago by Mutaftschiev is well reproduced by realistic molecular dynamics simulations.…

Materials Science · Physics 2007-05-23 T. Zykova-Timan , U. Tartaglino , D. Ceresoli , W. Sekkal , E. Tosatti

Vacuum fluctuations of quantum fields between physical objects depend on the shapes, positions, and internal composition of the latter. For objects of arbitrary shapes, even made from idealized materials, the calculation of the associated…

High Energy Physics - Lattice · Physics 2020-10-27 M. N. Chernodub , Harold Erbin , I. V. Grishmanovskii , V. A. Goy , A. V. Molochkov

We propose a new finite-size correction scheme for the formation energy of charged defects and impurities in one-dimensional systems within density functional theory. The energy correction in a supercell geometry is obtained by solving the…

Materials Science · Physics 2014-09-05 Sunghyun Kim , Ji-Sang Park , K. J. Chang

Surface energies and surface elasticity largely affect the mechanical response of nanostructures as well as the physical phenomenon associated with surfaces such as evaporation and adsorption. Studying surface energies at finite…

Materials Science · Physics 2022-07-18 Shashank Saxena , Miguel Spinola , Prateek Gupta , Dennis M. Kochmann
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