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We determine the surface tension of aqueous electrolyte solutions in contact with non-polar dielectric media using a thermomechanical approach, which involves deriving the stress tensor from the thermodynamic potential of an inhomogeneous…

Soft Condensed Matter · Physics 2024-04-18 Yury A. Budkov , Nikolai N. Kalikin , Petr E. Brandyshev

We study the surface tension of electrolyte solutions at the air/water and oil/water interfaces. Employing field-theoretical methods and considering short-range interactions of anions with the surface, we expand the Helmholtz free energy to…

Soft Condensed Matter · Physics 2014-04-10 Tomer Markovich , David Andelman , Rudi Podgornik

We study the surface tension of ionic solutions at air/water and oil/water interfaces. By using field-theoretical methods and including a finite proximal surface-region with ionic-specific interactions. The free energy is expanded to…

Soft Condensed Matter · Physics 2015-03-31 Tomer Markovich , David Andelman , Rudolf Podgornik

A theory is presented to account for the increase in surface tension of water in the presence of electrolyte. Unlike the original ``grand-canonical'' calculation of Onsager and Samaras, which relied on the Gibbs adsorption isotherm and lead…

Soft Condensed Matter · Physics 2009-10-31 Yan Levin

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

The estimation of the surface tension of water is theoretically dealt on the basis of the dipole molecular model. It is known that the experimentally determined surface tension of freshly exposed surface has a higher value than the nominal…

Chemical Physics · Physics 2007-05-23 Naohisa Ogawa , Yoshiki Matsuura

The line tension of an electrolyte wetting a non-polar substrate is computed analytically and numerically. The results show that, depending on the value of the apparent contact angle, positive or negative line tension values may be…

Chemical Physics · Physics 2014-11-06 Aaron Dörr , Steffen Hardt

We present a simulation method to study electrolyte solutions in a dielectric slab geometry using a modified 3D Ewald summation. The method is fast and easy to implement, allowing us to rapidly resum an infinite series of image charges. In…

Soft Condensed Matter · Physics 2015-08-12 Alexandre P. dos Santos , Yan Levin

Charged colloidal monolayers at the interface between water and air (or oil) are used in a large number of chemical, physical and biological applications. Although a considerable experimental and theoretical effort has been devoted in the…

Soft Condensed Matter · Physics 2018-12-03 Aviv Karnieli , Tomer Markovich , David Andelman

The model under consideration is a semi-infinite two-dimensional two-component plasma (Coulomb gas), stable against bulk collapse for the dimensionless coupling constant $\beta<2$, in contact with a dielectric wall of dielectric constant…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj

We derive a Debye-H\"uckel-like model of the electric ion-ion interaction for non-constant dielectric susceptibility, which does not depend on any kind of charging process due to its foundation in the general framework of non-equilibrium…

Chemical Physics · Physics 2025-02-24 Wolfgang Dreyer , Rüdiger Müller

An ideal conductor electrode in contact with a semi-infinite two-dimensional two-component plasma in an external potential is considered. The model is mapped onto an integrable sine-Gordon theory with Dirichlet boundary conditions. The…

Statistical Mechanics · Physics 2011-07-19 L. Šamaj , B. Jancovici

We extend our previous study of surface tension of ionic solutions and apply it to the case of acids (and salts) with strong ion-surface interactions. These ion-surface interactions yield a non-linear boundary condition with an effective…

Soft Condensed Matter · Physics 2017-02-17 Tomer Markovich , David Andelman , Rudi Podgornik

A theory is presented which allows us to accurately calculate the surface tensions and the surface potentials of electrolyte solutions. Both the ionic hydration and the polarizability are taken into account. We find a good correlation…

Soft Condensed Matter · Physics 2011-06-07 Alexandre P. dos Santos , Alexandre Diehl , Yan Levin

We investigate active electrolytes within the mean-field level of description. The focus is on how the double-layer structure of passive, thermalized charges is affected by active dynamics of all constituting ions. One feature of active…

Soft Condensed Matter · Physics 2018-05-23 Derek Frydel , Rudolf Podgornik

We develop a first-principle equation of state of salt-free polyelectrolyte solution in the limit of infinitely long flexible polymer chains in the framework of a field-theoretical formalism beyond the linear Debye-Hueckel theory and…

Soft Condensed Matter · Physics 2015-08-04 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , E. A. Nogovitsyn , M. G. Kiselev

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 study the steady state response of a dilute monovalent electrolyte solution to an external source with a constant relative velocity with respect to the fluid. The source is taken as a combination of three perturbations: an external force…

Fluid Dynamics · Physics 2018-09-19 Ram M. Adar , Yuki Uematsu , Shigeyuki Komura , David Andelman

In this paper we derive estimates to the free boundary problem for the Euler equation with surface tension, and without surface tension provided the Rayleigh-Taylor sign condition holds. We prove that as the surface tension tends to zero,…

Analysis of PDEs · Mathematics 2007-05-23 Jalal Shatah , Chongchun Zeng

Mean-field theory and scaling arguments are presented to model polyelectrolyte adsorption from semi-dilute solutions onto charged surfaces. Using numerical solutions of the mean-field equations, we show that adsorption exists only for…

Soft Condensed Matter · Physics 2009-11-10 A. Shafir , D. Andelman , R. R. Netz
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