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The mathematical model describing the non-stationary natural pH-gradient arising under the action of an electric field in an aqueous solution of ampholytes (amino acids) is constructed and investigated. The model is part of a more general…

Chemical Physics · Physics 2013-11-22 E. V. Shiryaeva , N. M. Zhukova , M. Yu. Zhukov

The mathematical model describing the stationary natural pH-gradient arising under the action of an electric field in an aqueous solution of ampholytes (amino acids) is constructed and investigated. The model is a part of a more general…

Chemical Physics · Physics 2013-11-19 L. V. Sakharova , E. V. Shiryaeva , M. Yu. Zhukov

A mathematical model describing a steady pH-gradient in the solution of ampholytes in water has been studied with the use of analytical, asymptotic, and numerical methods. We show that at the large values of an electric current a…

Chemical Physics · Physics 2009-02-24 L. V. Sakharova , V. A. Vladimirov , M. Yu. Zhukov

The combinatorial explosion of empirical parameters in tens of thousands presents a tremendous challenge for extended Debye-H\"uckel models to calculate activity coefficients of aqueous mixtures of most important salts in chemistry. The…

Soft Condensed Matter · Physics 2018-03-14 Jinn-Liang Liu , Bob Eisenberg

The origin of enhanced reactivity in aqueous microdroplets remains debated, with interfacial electric fields (IEFs) often invoked as catalytic drivers. Here, we provide a quantum-mechanical, spatially resolved characterization of the…

The behavior of electrolyte solutions close to a charged surface is studied theoretically. A modified Poisson-Boltzmann equation which takes into account the volume excluded by the ions in addition to the electrostatic interactions is…

Soft Condensed Matter · Physics 2007-05-23 I. Borukhov , D. Andelman , H. Orland

The non-equilibrium steady states of a semi-infinite quasi-one-dimensional univalent binary electrolyte solution, characterised by non-vanishing electric currents, are investigated by means of Poisson-Nernst-Planck (PNP) theory. Exact…

Soft Condensed Matter · Physics 2024-01-09 Markus Bier

A model is constructed to describe the arbitrary deformation of a drop or vesicle that contains and is embedded in an electrolyte solution, where the deformation is caused by an applied electric field. The applied field produces an…

Fluid Dynamics · Physics 2022-07-13 Manman Ma , Michael R. Booty , Michael Siegel

We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation effects in electrolyte solutions. The formulation is…

Soft Condensed Matter · Physics 2017-03-27 Jinn-Liang Liu , Dexuan Xie , Bob Eisenberg

The Poisson-Boltzmann mean-field description of ionic solutions has been successfully used in predicting charge distributions and interactions between charged macromolecules. While the electrostatic model of charged fluids, on which the…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Daniel Harries , Rudi Podgornik

We present a minimal model to study liquid phase separation in a fixed pH ensemble. The model describes a mixture composed of macromolecules that exist in three different charge states and have a tendency to phase separate. We introduce the…

Biological Physics · Physics 2020-10-30 Omar Adame-Arana , Christoph A. Weber , Vasily Zaburdaev , Jacques Prost , Frank Jülicher

We propose a framework to study the spatio-temporal evolution of liquid-liquid phase separation of weak polyelectrolytes in ionic solutions. Unlike strong polyelectrolytes, which carry a fixed charge, the charge state of weak…

Soft Condensed Matter · Physics 2025-03-19 Giulia Laura Celora , Ralf Blossey , Andreas Munch , Barbara Wagner

Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

Iso-electric point(IEP) is the PH, at which the $\zeta$ potential is measured to be zero. The occurrence of IEP has been understood due to the neutralization of surface charge density (SCD) at the solid-liquid interface. In this work, we…

Soft Condensed Matter · Physics 2016-05-12 Li Wan

Diffusiophoresis of charged particles in the presence of electrolytes has been extensively studied in the literature. However, in these setups, particles typically move in a single direction, either up or down the electrolyte gradient.…

Soft Condensed Matter · Physics 2025-06-09 Ethan Coleman , Ankur Gupta

Existing hydrodynamic models of charged fluids consider any external electric field acting on the fluid as either first order in the hydrodynamic derivative expansion and completely arbitrary or zeroth order but constrained by the fluid's…

High Energy Physics - Theory · Physics 2023-06-16 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis

A Poisson-Fermi model is proposed for calculating activity coefficients of single ions in strong electrolyte solutions based on the experimental Born radii and hydration shells of ions in aqueous solutions. The steric effect of water…

Chemical Physics · Physics 2015-06-26 Jinn-Liang Liu , Bob Eisenberg

An electric-field-induced phase transition and pattern formation in a binary dielectric fluid layer are studied using a coarse-grained free energy functional. The electrostatic part of the free energy is a nonlinear functional of the…

Soft Condensed Matter · Physics 2007-05-23 M. D. Johnson , X. Duan , Brett Riley , Aniket Bhattacharya , Weili Luo

The description of a conducting medium in thermal equilibrium, such as an electrolyte solution or a plasma, involves nonlinear electrostatics, a subject rarely discussed in the standard electricity and magnetism textbooks. We consider in…

Chemical Physics · Physics 2018-08-01 C. G. Gray , P. J. Stiles

We propose a field-theoretical approach based on the thermodynamic perturbation theory and within it derive a grand thermodynamic potential of the inhomogeneous ionic fluid as a functional of electrostatic potential for an arbitrary…

Soft Condensed Matter · Physics 2022-05-25 Yu. A. Budkov , A. L. Kolesnikov
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