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We present the results of an analytical theory and simulations of the field inside a cavity created in a dipolar liquid placed in a uniform external electric field. The analytical theory shows that the limit of continuum electrostatics is…

Soft Condensed Matter · Physics 2007-09-28 Daniel R. Martin , Dmitry V. Matyushov

Accurate modelling of electrostatic interactions and charge transfer is fundamental to computational chemistry, yet most machine learning interatomic potentials (MLIPs) rely on local atomic descriptors that cannot capture long-range…

Electronic correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's…

Strongly Correlated Electrons · Physics 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

The structures of dilute electrolyte solutions close to non-uniformly charged planar substrates are systematically studied within the entire spectrum of microscopic to macroscopic length scales by means of a unified classical density…

Soft Condensed Matter · Physics 2022-11-23 Markus Bier , Maximilian Mußotter , S. Dietrich

We present a novel microfield approach for studying the dependence of the orientational polarization of the water in aqueous electrolyte solutions upon the salt concentration and temperature. The model takes into account the orientation of…

Chemical Physics · Physics 2016-07-15 Nir Gavish , Keith Promislow

The particles of electrorheological fluids can be modelled as dielectric spheres (DS) immersed in a continuum dielectric. When an external field is applied, polarization charges are induced on the surfaces of the spheres and can be…

Soft Condensed Matter · Physics 2013-12-13 D. Boda , M. Valiskó , I. Szalai

Biomolecular condensates such as membraneless organelles, underpinned by liquid-liquid phase separation (LLPS), are important for physiological function, with electrostatics -- among other interaction types -- being a prominent force in…

Biomolecules · Quantitative Biology 2021-05-26 Jonas Wessén , Tanmoy Pal , Suman Das , Yi-Hsuan Lin , Hue Sun Chan

Long-range electrostatics and polarization remain central obstacles to extending machine learning interatomic potentials (MLIPs) to ionic, polar, and interfacial systems. Here, we introduce a semi-local framework for learning electrostatics…

Materials Science · Physics 2026-05-08 Dongjin Kim , Daniel S. King , Yoonjae Park , Roya Savoj , Sebastien Hamel , Xiaoyu Wang , Bingqing Cheng

The electrostatic interaction in ionic fluids is well-known to give rise to a characteristic phase behavior and structure. Sometimes its long range is proposed to single out the electrostatic potential over other interactions with shorter…

Soft Condensed Matter · Physics 2015-05-05 Hendrik Bartsch , Oliver Dannenmann , Markus Bier

We present a three-dimensional molecular density functional theory (MDFT) of water derived from first-principles that relies on the particle's density and multipolar polarization density and includes the density-polarization coupling. This…

Chemical Physics · Physics 2016-05-25 Guillaume Jeanmairet , Nicolas Levy , Maximilien Levesque , Daniel Borgis

The nonlocal dielectric properties of liquid water are studied in the context of {\it ab initio} molecular dynamics simulations based on density functional theory. We calculate the dielectric response from the charge structure factor of the…

Starting from the random phase approximation for the weakly coupled multiband tightly-bounded electron systems, we calculate the dielectric matrix in terms of intraband and interband transitions. The advantages of this representation with…

Condensed Matter · Physics 2016-08-31 P. Zupanovic , A. Bjelis , S. Barisic

The lack of long-range electrostatics is a key limitation of modern machine learning interatomic potentials (MLIPs), hindering reliable applications to interfaces, charge-transfer reactions, polar and ionic materials, and biomolecules. In…

Computational Physics · Physics 2025-12-23 Dongjin Kim , Bingqing Cheng

The electric field dielectric polarization-based separations mechanism represents a novel method for separating solutions at small length scales. An electric field gradient with a maximum strength of $\mathrm{0.4~MV/m}$ applied across a…

Chemical Physics · Physics 2023-11-29 Gaurav Anand , Samira Safaripour , Craig Snoeyink

The dielectric response of nano-confined fluids is crucial across technologies and biological systems, yet its calculation and interpretation from molecular simulations are often muddled by unclear boundary conditions. We re-derive the…

Soft Condensed Matter · Physics 2026-05-06 Philipp Stärk , Henrik Stooß , Philip Loche , Douwe Jan Bonthuis , Roland R. Netz , Alexander Schlaich

We consider a mathematical model that describes the flow of a Nematic Liquid Crystal (NLC) film placed on a flat substrate, across which a spatially-varying electric potential is applied. Due to their polar nature, NLC molecules interact…

Soft Condensed Matter · Physics 2021-04-07 Ensela Mema , Lou Kondic , Linda J. Cummings

Despite the ubiquity of aqueous electrolytes, the effect of salt on water organization remains controversial. We introduce a nonlocal and nonlinear field theory for the nanoscale polarization of ions and water and derive the electrolyte…

We develop a comprehensive continuum model capable of treating both electrostatic and structural interactions in liquid dielectrics. Starting from a two-order parameter description in terms of charge density and polarization, we derive a…

Soft Condensed Matter · Physics 2023-02-08 Ralf Blossey , Rudolf Podgornik

Understanding the structure and thermodynamics of solvated ions is essential for advancing applications in electrochemistry, water treatment, and energy storage. While ab initio molecular dynamics methods are highly accurate, they are…

Chemical Physics · Physics 2025-07-15 Ademola Soyemi , Tibor Szilvasi

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

Materials Science · Physics 2009-11-10 Roi Baer , Daniel Neuhauser