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We formulate and study computationally the low Mach number fluctuating hydrodynamic equations for electrolyte solutions. We are interested in studying transport in mixtures of charged species at the mesoscale, down to scales below the Debye…

In the molecular dynamics calculations for the free energy of ions and ionic molecules, we often encounter wet charged molecular systems where electrical neutrality condition is broken. This causes a problem in the evaluation of…

Biological Physics · Physics 2020-07-15 Ryo Urano , Wataru Shinoda , Noriyuki Yoshii , Susumu Okazaki

Static electric response properties of atoms and molecules are reported within the real-space Cartesian grid implementation of pseudopotential Kohn-Sham (KS) density functional theory (DFT). A detailed systematic investigation is made for a…

Chemical Physics · Physics 2019-04-26 Tanmay Mandal , Abhisek Ghosal , Amlan K. Roy

We derive a relationship for the electric field dependent ionic conductivity in terms of fluctuations of time integrated microscopic variables. We demonstrate this formalism with molecular dynamics simulations of solutions of differing…

Statistical Mechanics · Physics 2020-05-27 Dominika Lesnicki , Chloe Y. Gao , Benjamin Rotenberg , David T. Limmer

Electrolyte solutions play an important role in energy storage devices, whose performance highly relies on the electrokinetic processes at sub-micron scales.\ Although fluctuations and stochastic features become more critical at small…

Soft Condensed Matter · Physics 2022-06-08 Mingge Deng , Faisal Tushar , Luis Bravo , Anindya Ghoshal , George Karniadakis , Zhen Li

Describing analytically the transport properties of electrolytes, such as their conductivity or the self-diffusion of the ions, has been a central challenge of chemical physics for almost a century. In recent years, this question has…

Soft Condensed Matter · Physics 2023-09-21 Olivier Bernard , Marie Jardat , Benjamin Rotenberg , Pierre Illien

Electrostatic correlations and variable permittivity of electrolytes are essential for exploring many chemical and physical properties of interfaces in aqueous solutions. We propose a continuum electrostatic model for the treatment of these…

Soft Condensed Matter · Physics 2015-06-23 Manman Ma , Zhenli Xu

In this study, we present a finite element solver for a thermodynamically consistent electrolyte model that accurately captures multicomponent ionic transport by incorporating key physical phenomena such as steric effects, solvation, and…

Computational Engineering, Finance, and Science · Computer Science 2026-01-28 Jan Habscheid , Satyvir Singh , Lambert Theisen , Stefanie Braun , Manuel Torrilhon

We present a computational study of static and dynamic linear polarizabilities in solution. We use different theoretical approaches to describe solvent effects, ranging from quantum mechanics/molecular mechanics (QM/MM) to quantum embedding…

Chemical Physics · Physics 2022-12-07 Linda Goletto , Sara Gómez , Josefine H. Andersen , Henrik Koch , Tommaso Giovannini

Long-range ion induced water-water correlations were recently observed in femtosecond elastic second harmonic scattering experiments of electrolyte solutions. To further the qualitative understanding of these correlations, we derive an…

Statistical Mechanics · Physics 2017-09-06 David M. Wilkins , David E. Manolopoulos , Sylvie Roke , Michele Ceriotti

The static electric dipole polarizability of $\mathrm{Na_N}$ clusters with even N has been calculated in a collective, axially averaged and a three-dimensional, finite-field approach for $2\le N \le 20$, including the ionic structure of the…

Atomic and Molecular Clusters · Physics 2009-10-31 S. Kümmel , T. Berkus , P. -G. Reinhard , M. Brack

We study the variation of the dielectric response of a dielectric liquid (e.g. water) when a salt is added to the solution. Employing field-theoretical methods we expand the Gibbs free-energy to first order in a loop expansion and calculate…

Soft Condensed Matter · Physics 2012-07-06 Amir Levy , David Andelman , Henri Orland

This work constructs an advanced force field, the Completely Multipolar Model (CMM), to quantitatively reproduce each term of an energy decomposition analysis (EDA) for aqueous solvated alkali metal cations and halide anions and their ion…

Chemical Physics · Physics 2024-10-14 J. P. Heindel , L. Kim , M. Head-Gordon , T. Head-Gordon

The behavior of saturated aqueous sodium chloride solutions under a constant external electric field (E) was studied by molecular dynamics (MD) simulation. Our dynamic MD simulations have indicated that the irreversible nucleation process…

Soft Condensed Matter · Physics 2016-01-20 Gan Ren , Yanting Wang

We consider a system of nonlinear partial differential equations describing the motion of an incompressible chemically reacting generalized Newtonian fluid in three space dimensions. The governing system consists of a steady…

Numerical Analysis · Mathematics 2017-08-29 Seungchan Ko , Endre Suli

A classical density functional theory is applied to study solvation of solutes in water. An approx- imate form of the excess functional is proposed for water. This functional requires the knowledge of pure solvent direct correlation…

Chemical Physics · Physics 2014-09-01 Guillaume Jeanmairet

Electrolyte theories enable to describe the structural and dynamical properties of simple electrolytes in solution, such as sodium chloride in water. Using these theories for aqueous solutions of charged nanoparticles is a straightforward…

Soft Condensed Matter · Physics 2020-02-03 Vincent Dahirel , Olivier Bernard , Marie Jardat

A finite element discretization using a method of lines approached is proposed for approximately solving the Poisson-Nernst-Planck (PNP) equations. This discretization scheme enforces positivity of the computed solutions, corresponding to…

Numerical Analysis · Mathematics 2015-03-17 Chun Liu , Maximilian Metti , Jinchao Xu

The conductivity of concentrated salt solutions has posed a real puzzle for theories of electrolytes. Despite a quantitative understanding of dilute solutions, an analytical theory for concentrated ones remains a challenge for almost a…

Chemical Physics · Physics 2025-12-30 Olga I Vinogradova , Elena F Silkina

A multiscale model based on the coupling of the multiconfigurational self-consistent field (MCSCF) method and the classical atomistic polarizable Fluctuating Charges (FQ) force field is presented. The resulting MCSCF/FQ approach is…