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We present a self-consistent kinetic theory for the electronic response of a plasma-facing dielectric solid. Based on the Poisson equation and two sets of spatially separated Boltzmann equations, one for electrons and ions in the plasma and…

Plasma Physics · Physics 2017-08-02 Franz X. Bronold , Holger Fehske

The closed integral equations for the interfacial tension as a function of external polarization at the liquid metal - ionic melt interface are derived. The version of Popel'-Pavlov isotherm is applied to the analysis of electrocapillary…

Chemical Physics · Physics 2007-05-23 Oleg A. Kobelev , Alexandr V. Kobelev

Most organic and inorganic surfaces (e.g., glass, nucleic acids or lipid membranes) become charged in aqueous solutions. The resulting ionic distribution induces effective interactions between the charged surfaces. Stacks of like-charged…

The classical Poisson-Boltzmann (PB) theory of electrolytes assumes a dilute solution of point charges with mean-field electrostatic forces. Even for very dilute solutions, however, it predicts absurdly large ion concentrations (exceeding…

Chemical Physics · Physics 2007-05-23 Mustafa Sabri Kilic , Martin Z. Bazant , Armand Ajdari

Analytical expressions for the osmotic pressure of electrolytes confined within electrolyte-filled, hollow, charged nanoparticles are studied using contact theorems for cavity nanoshells immersed in a low-concentration electrolyte. Three…

Soft Condensed Matter · Physics 2025-06-10 Marcelo Lozada-Cassou , Sócrates Aníbal Rivera-Cerecero

The structure and interactions in electrolytes at high concentration have implications from energy storage to biomolecular interactions. However many experimental observations are yet to be explained in these mixtures, which are far beyond…

Soft Condensed Matter · Physics 2017-04-05 Alexander Smith , Alpha Lee , Susan Perkin

We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of $N$ chemical species diluted in a liquid at rest, occupying the pore space with charged…

Analysis of PDEs · Mathematics 2015-04-24 Gregoire Allaire , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

Interfaces between demixed fluid phases of binary mixtures of hard platelets are investigated using density-functional theory. The corresponding excess free energy functional is calculated within a fundamental measure theory adapted to the…

Soft Condensed Matter · Physics 2011-09-14 M. Bier , L. Harnau , S. Dietrich

The numerous combinations of cations and anions turn out possible to produce ionic liquids with fine-tuned properties once the correlation with the molecular structure is known. In this sense, computer simulations are useful tools to…

The modified Poisson-Boltzmann theory of the restricted primitive model double layer is revisited and recast in a fresh, slightly broader perspective. Derivation of relevant equations follow the techniques utilized in the earlier MPB4 and…

Statistical Mechanics · Physics 2017-10-05 L. B. Bhuiyan , C. W. Outhwaite

The continuum-scale electrokinetic porous-media flow and excess charge redistribution equations are uncoupled using eigenvalue decomposition. The uncoupling results in a pair of independent diffusion equations for "intermediate" potentials…

Computational Physics · Physics 2020-09-01 Kristopher L. Kuhlman , Bwalya Malama

Using Poisson-Boltzmann equation and linear response theory, we derive an effective interaction potential due to a fixed charge distribution in a solution containing polyelectrolytes and point salt. We obtain an expression for the effective…

Soft Condensed Matter · Physics 2016-01-08 Sandipan Dutta , and Y. S. Jho

We present an exact field-theoretic formulation for a fluctuating, generally asymmetric, salt density in the presence of a charged plate. The non-linear Poisson-Boltzmann equation is obtained as the saddle-point of our field theory action.…

Soft Condensed Matter · Physics 2007-05-23 William Kung , A. W. C. Lau

A coherent state technique is used to generate an Interacting Boson Model (IBM) Hamiltonian energy surface that simulates a mean field energy surface. The method presented here has some significant advantages over previous work.…

Nuclear Theory · Physics 2015-03-18 I. Bentley , S. Frauendorf

Thermo-osmotic flows, generated by applying a thermal gradient along a liquid-solid interface, could be harnessed to convert waste heat into electricity. While this phenomenon has been known for almost a century, there is a crucial need to…

Soft Condensed Matter · Physics 2024-07-15 Mehdi Ouadfel , Samy Merabia , Yasutaka Yamaguchi , Laurent Joly

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

For multispecies ions, we study boundary layer solutions of charge conserving Poisson-Boltzmann (CCPB) equations [50] (with a small parameter \k{o}) over a finite one-dimensional (1D) spatial domain, subjected to Robin type boundary…

Analysis of PDEs · Mathematics 2015-04-28 Chiun-Chang Lee , Hijin Lee , YunKyong Hyon , Tai-Chia Lin , Chun Liu

A simple model is presented to calculate the potential of mean force between a polyion and a multivalent counterion inside a polyelectrolite solution. We find that under certain conditions the electrostatic interactions can lead to a strong…

Statistical Mechanics · Physics 2009-11-11 Jürgen F. Stilck , Yan Levin

Non-local electrostatic interactions associated with the finite solvent size and ion polarizability are investigated within the mean-field linear response theory. To this end, we introduce a field theoretic model of a polar liquid composed…

Soft Condensed Matter · Physics 2015-06-15 Sahin Buyukdagli , Tapio Ala-Nissila

Starch solutions, which are strongly non-Newtonian, show a surface instability, when subjected to a load. A droplet of the fluid is sandwiched between two glass plates and a weight varying from 1 to 5 kgs. is placed on the top plate. The…

Soft Condensed Matter · Physics 2010-12-13 Moutushi Dutta Choudhury , Subrata Chandra , Soma Nag , Shantanu Das , Sujata Tarafdar