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The ab-initio computational treatment of electrochemical systems requires an appropriate treatment of the solid/liquid interfaces. A fully quantum mechanical treatment of the interface is computationally demanding due to the large number of…

Solid-liquid interfaces are at the heart of many modern-day technologies and provide a challenge to many materials simulation methods. A realistic first-principles computational study of such systems entails the inclusion of solvent…

Many important applications of electronic structure methods involve molecules or solid surfaces in a solvent medium. Since explicit treatment of the solvent in such methods is usually not practical, calculations often employ continuum…

Chemical Physics · Physics 2015-02-12 Ravishankar Sundararaman , William A. Goddard

Reliable first-principles calculations of electrochemical processes require accurate prediction of the interfacial capacitance, a challenge for current computationally-efficient continuum solvation methodologies. We develop a model for the…

Chemical Physics · Physics 2018-04-12 Ravishankar Sundararaman , Kendra Letchworth-Weaver , Kathleen Schwarz

We present an implicit solvent model for ab initio electronic structure calculations which is fully self-consistent and is based on direct solution of the nonhomogeneous Poisson equation. The solute cavity is naturally defined in terms of…

Computational Physics · Physics 2011-12-07 Jacek Dziedzic , Hatem H. Helal , Chris-Kriton Skylaris , Arash A. Mostofi , Mike C. Payne

In this paper we apply the approach of formal asymptotic expansions and perturbation theory to derive a new highly nonlinear shallow-water model from the full governing equations for two dimensional incompressible fluid with constant…

Analysis of PDEs · Mathematics 2024-01-17 Yu Liu , Xingxing Liu , Min Li

We propose a new model for estimating the free energy of forming a molecular cavity in a solvent, by assuming this energy is dominated by the electrostatic energy associated with creating the static (interface) potential inside the cavity.…

Chemical Physics · Physics 2020-05-28 Christopher D. Cooper , Jaydeep P. Bardhan

The knowledge of the local electronic structure of heterogeneous solid materials is crucial for understanding their electronic, magnetic, transport, optical, and other properties. VASP, one of the mostly used packages for density-functional…

Materials Science · Physics 2022-05-18 Lucas Lodeiro , Tomáš Rauch

We study a model Coulomb fluid consisting of dipolar solvent molecules of finite extent generalizing the point-like Dipolar Poisson-Boltzmann model (DPB) previously introduced by Coalson and Duncan (J. Phys. Chem 100, 2612 (1996)) and…

Soft Condensed Matter · Physics 2014-06-18 Sahin Buyukdagli , Ralf Blossey

A numerical method using implicit surface representations is proposed to solve the linearized Poisson-Boltzmann equations that arise in mathematical models for the electrostatics of molecules in solvent. The proposed method used an implicit…

Numerical Analysis · Mathematics 2018-04-04 Yimin Zhong , Kui Ren , Richard Tsai

Implicit solvation is an effective, highly coarse-grained approach in atomic-scale simulations to account for a surrounding liquid electrolyte on the level of a continuous polarizable medium. Originating in molecular chemistry with finite…

Chemical Physics · Physics 2021-08-06 Stefan Ringe , Nicolas G. Hörmann , Harald Oberhofer , Karsten Reuter

We present the theory and implementation of a Poisson-Boltzmann implicit solvation model for electrolyte solutions. This model can be combined with arbitrary electronic structure methods that provide an accurate charge density of the…

Computational Physics · Physics 2020-01-08 Christopher J. Stein , John M. Herbert , Martin Head-Gordon

This paper discusses a novel fully implicit formulation for a 1D electrostatic particle-in-cell (PIC) plasma simulation approach. Unlike earlier implicit electrostatic PIC approaches (which are based on a linearized Vlasov-Poisson…

Computational Physics · Physics 2015-03-17 Guangye Chen , Luis Chacón , Daniel C. Barnes

Continuum solvation models are becoming increasingly relevant in condensed matter simulations, allowing to characterize materials interfaces in the presence of wet electrified environments at a reduced computational cost with respect to all…

Computational Physics · Physics 2023-08-16 Gabriel Medrano , Edan Bainglass , Oliviero Andreussi

We propose a generalisation of molecular density functional theory to describe inhomogeneous solvent mixture, with the objective of modelling electrolytic solutions. Two electrolytic models are presented, both within the HNC approximation.…

Chemical Physics · Physics 2025-11-13 Guillaume Jeanmairet , Luc Belloni , Daniel Borgis

We study the response of a model micro-electrochemical cell to a large ac voltage of frequency comparable to the inverse cell relaxation time. To bring out the basic physics, we consider the simplest possible model of a symmetric binary…

Fluid Dynamics · Physics 2013-12-12 Laurits H. Olesen , Martin Z. Bazant , Henrik Bruus

We present an accurate free-energy functional for liquid water written in terms of a set of effective potential fields in which fictitious noninteracting water molecules move. The functional contains an \emph{exact} expression of the…

Soft Condensed Matter · Physics 2011-04-19 Johannes Lischner , T. A. Arias

In a multiscale modeling approach, we present computer simulation results for a rectifying bipolar nanopore on two modeling levels. In an all-atom model, we use explicit water to simulate ion transport directly with the molecular dynamics…

Mesoscale and Nanoscale Physics · Physics 2018-03-13 Zoltán Ható , Mónika Valiskó , Tamás Kristóf , Dirk Gillespie , Dezső Boda

Recent studies on the solvation of atomistic and nanoscale solutes indicate that a strong coupling exists between the hydrophobic, dispersion, and electrostatic contributions to the solvation free energy, a facet not considered in current…

Statistical Mechanics · Physics 2009-11-11 J. Dzubiella , J. M. J. Swanson , J. A. McCammon

We assess the dielectrically consistent reference interaction site model (DRISM) as an implicit electrolyte framework for modeling the electrochemical double layer, and compare it with the Poisson-Boltzmann model and explicit molecular…

Chemical Physics · Physics 2026-04-01 Alessandro Mangiameli , Christopher J. Stein
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