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This chapter deals with charged polymers (polyelectrolytes) in solution and at surfaces. The behavior of polyelectrolytes is markedly different from that of neutral polymers. In bulk solutions, i.e. disregarding the surface effect, there…

Soft Condensed Matter · Physics 2009-09-25 Roland R. Netz , David Andelman

We analyze the depletion interaction between two hard colloids in a hard--sphere solvent and pay special attention to the limit of large size ratio between colloids and solvent particles which is governed by the well--known Derjaguin…

Soft Condensed Matter · Physics 2007-05-23 M. Oettel

In this paper, we present a continuation of our research on modeling electrolyte solutions within charged slit pores. We make use of the model developed by Blossey et al., which takes into account the structural interactions between ions…

Soft Condensed Matter · Physics 2023-07-26 Victoria A. Vasileva , Daria A. Mazur , Yury A. Budkov

Subsystem Density-Functional Theory (DFT) is an emerging technique for calculating the electronic structure of complex molecular and condensed phase systems. In this topical review, we focus on some recent advances in this field related to…

Chemical Physics · Physics 2015-06-24 Alisa Krishtal , Debalina Sinha , Alessandro Genova , Michele Pavanello

When two reservoirs of a distinct salinity are connected by channels or pores, a fluid flow termed diffusio-osmotic is generated. This article investigates the flow emerging in an uniformly charged long slit whose thickness exceeds the…

Fluid Dynamics · Physics 2026-04-27 Elena F. Silkina , Evgeny S. Asmolov , Olga I. Vinogradova

In this paper, the initial value problem for the Debye--Hueckel drift-diffusion equation is studied. This equation was introduced as a model describing plasma behavior and is also known as a simulation model of MOSFET, and so its solution…

Analysis of PDEs · Mathematics 2026-04-29 Masakazu Yamamoto

We study the low-frequency dielectric response of highly charged spheres arranged in a cubic lattice and immersed in an electrolyte solution. We focus on the influence of the out-of-phase current in the regime where the ionic charge is…

Soft Condensed Matter · Physics 2019-03-27 Chang-Yu Hou , Jiang Qian , Denise E. Freed

Orbital-free density functional theory (OF-DFT) provides an alternative approach for calculating the molecular electronic energy, relying solely on the electron density. In OF-DFT, both the ground-state density is optimized variationally to…

Chemical Physics · Physics 2023-11-23 Alexandre de Camargo , Ricky T. Q. Chen , Rodrigo A. Vargas-Hernández

In this work, the pressure-driven flow of symmetric electrolyte liquid through a heterogeneously charged contraction-expansion (4:1:4) microfluidic device has been investigated numerically. Total potential ($U$), ion concentrations…

Fluid Dynamics · Physics 2023-12-27 Jitendra Dhakar , Ram Prakash Bharti

The study of the electrical double layer lies at the heart of colloidal and interfacial science. The standard mean-field Poisson-Boltzmann (PB) theory is incapable of modeling many phenomena originated from ion correlation. An important…

Soft Condensed Matter · Physics 2022-09-26 Nikhil R. Agrawal , Rui Wang

Understanding overcharging and charge inversion is one of the long-standing challenges in soft matter and biophysics. To study these phenomena, we employ the modified Gaussian renormalized fluctuation theory, which allows for the…

Soft Condensed Matter · Physics 2024-01-01 Nikhil R. Agrawal , Chao Duan , Rui Wang

Density functional theory (DFT) remains the most widely used electronic structure method. Although exact in principle, in practice, it relies on approximations to the exchange-correlation (XC) functional, which is known to be a unique…

Computational Physics · Physics 2025-10-14 Vishal Subramanian , Bikash Kanungo , Vikram Gavini

Understanding the nanoscale effects controlling the dynamics of a contact line -- defined as the line formed at the junction of two fluid phases and a solid -- has been a longstanding problem in fluid mechanics pushing experimental and…

Fluid Dynamics · Physics 2025-01-06 Andreas Nold , Benjamin D. Goddard , David N. Sibley , Serafim Kalliadasis

We consider the interactions between two uncharged planar macroscopic surfaces immersed in an electrolyte solution which are induced by interfacial selectivity. These forces are taken into account by introducing a depletion free-energy…

Soft Condensed Matter · Physics 2009-10-31 M. N. Tamashiro , P. Pincus

We theoretically study the electrokinetic problem of a pressure-induced liquid flow through a narrow long channel with charged walls, going beyond the classical Helmholtz-Schmolukowski picture by considering the surprisingly strong combined…

Soft Condensed Matter · Physics 2018-08-01 B. L. Werkhoven , J. C. Everts , S. Samin , R. van Roij

We present a theory for the equilibrium structure of polyelectrolyte solutions. The main element is a simple, new optimization scheme that allows theories such as the random phase approximation (RPA) to handle the harsh repulsive forces…

Soft Condensed Matter · Physics 2009-11-10 James P. Donley , David R. Heine , David T. Wu

We study the effect of asymmetry in solvent and ionic size on the equilibrium properties of multivalent ionic solutions near a charged surface. For a single ionic species in solution, we derive a generalized Grahame equation at the charged…

Soft Condensed Matter · Physics 2026-03-31 Or Ben Yaakov , Haim Diamant , Rudolf Podgornik , David Andelman

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

Accurate charge densities are central to electronic-structure theory, but computing charge-state-dependent densities with density functional theory remains too expensive for large-scale screening and defect workflows. We present ChargeFlow,…

Materials Science · Physics 2026-03-26 Tri Minh Nguyen , Sherif Abdulkader Tawfik , Truyen Tran , Svetha Venkatesh

For classical many-body systems subject to Brownian dynamics we develop a superadiabatic dynamical density functional theory (DDFT) for the description of inhomogeneous fluids out-of-equilibrium. By explicitly incorporating the dynamics of…

Soft Condensed Matter · Physics 2022-12-20 S. M. Tschopp , J. M. Brader
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