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Osmotic coefficients, individual and mean activity coefficients of primitive model electrolyte solutions are computed at different molar concentrations using the symmetric Poisson-Boltzmann and modified Poisson-Boltzmann theories. The…

统计力学 · 物理学 2018-06-27 A. O. Quiñones , L. B. Bhuiyan , C. W. Outhwaite

The excess entropy of restricted primitive model electrolytes is calculated using a potential based approach through the symmetric Poisson-Boltzmann and the modified Poisson-Boltzmann theories. The theories are utilized in conjunction with…

统计力学 · 物理学 2025-04-01 S. Lamperski , L. B. Bhuiyan , C. W. Outhwaite , R. Gorniak

An approximate analytical solution to the fluctuation potential problem in the modified Poisson-Boltzmann theory of electrolyte solutions in the restricted primitive model is presented. The solution is valid for all inter-ionic distances,…

统计力学 · 物理学 2017-12-15 E. O. Ulloa-Dávila , L. B. Bhuiyan

The effective electrostatic interaction between a pair of colloids, both of them located close to each other at an electrolyte interface, is studied by employing the full, nonlinear Poisson-Boltzmann (PB) theory within classical density…

软凝聚态物质 · 物理学 2016-08-17 Arghya Majee , Markus Bier , S. Dietrich

We present theoretical and numerical studies on stiff, linear polyelectrolytes within the framework of the cell model. We first review analytical results obtained on a mean-field Poisson-Boltzmann level, and then use molecular dynamics…

软凝聚态物质 · 物理学 2009-11-07 Markus Deserno , Christian Holm

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…

统计力学 · 物理学 2017-10-05 L. B. Bhuiyan , C. W. Outhwaite

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…

软凝聚态物质 · 物理学 2022-05-25 Yu. A. Budkov , A. L. Kolesnikov

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…

软凝聚态物质 · 物理学 2014-04-22 Dan Ben-Yaakov , David Andelman , Daniel Harries , Rudi Podgornik

We present a continuation of our theoretical research into the influence of co-solvent polarizability on a differential capacitance of the electric double layer [EPL 111, 28002 (2015)]. We formulate a modified Poisson-Boltzmann theory,…

软凝聚态物质 · 物理学 2016-05-11 Yu. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

To analyze nonidealities inherent to degenerate plasma, a quantum collective approach is developed. Thermodynamic functions of a system of partially degenerate electrons and strongly coupled ions are derived from first principles. The model…

等离子体物理 · 物理学 2007-05-23 Abdelhamid Khalfaoui , Djamila Bennaceur-Doumaz

The structure of cylindrical double layers is studied using a modified Poisson Boltzmann theory and the density functional approach. In the model double layer, the electrode is a cylindrical polyion that is infinitely long, impenetrable,…

软凝聚态物质 · 物理学 2013-12-18 V. Dorvilien , C. N. Patra , L. B. Bhuiyan , C. W. Outhwaite

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…

化学物理 · 物理学 2018-08-01 C. G. Gray , P. J. Stiles

We present the theory and implementation of a Poisson-Boltzmann implicit solvation model for electrolyte solutions. This model can be combined with arbitrary electronic structure methods that provide an accurate charge density of the…

计算物理 · 物理学 2020-01-08 Christopher J. Stein , John M. Herbert , Martin Head-Gordon

The osmotic coefficient of solutions of rod-like polyelectrolytes is considered by comparing current theoretical treatments and simulations to recent experimental data. The discussion is restricted to the case of monovalent counterions and…

软凝聚态物质 · 物理学 2009-11-07 M. Deserno , C. Holm , J. Blaul , M. Ballauff , M. Rehahn

We have investigated a single charged microgel in aqueous solution with a combined simulational model and Poisson-Boltzmann theory. In the simulations we use a coarse-grained charged bead-spring model in a dielectric continuum, with…

软凝聚态物质 · 物理学 2009-03-12 Gil C. Claudio , Christian Holm , Kurt Kremer

A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of fluids, electrodynamics, polarization and magnetization is proposed. The mechanical (reversible) part of the theory is constructed in a purely…

经典物理 · 物理学 2020-08-26 Petr Vagner , Michal Pavelka , Ogul Esen

A restricted Boltzmann machine is a generative probabilistic graphic network. A probability of finding the network in a certain configuration is given by the Boltzmann distribution. Given training data, its learning is done by optimizing…

无序系统与神经网络 · 物理学 2020-05-28 Sangchul Oh , Abdelkader Baggag , Hyunchul Nha

Thermodynamic properties of charge-stabilised colloidal suspensions are commonly modeled by implementing the mean-field Poisson-Boltzmann (PB) theory within a cell model. This approach models a bulk system by a single macroion, together…

软凝聚态物质 · 物理学 2015-05-18 Alan R. Denton

We explore how the thermodynamic properties and dynamics of a self-interstitial prismatic dislocation loop are affected by microscopic-scale variations in its geometric configuration, an aspect that rarely received attention in literature.…

材料科学 · 物理学 2026-05-12 Sho Hayakawa , Sergei L. Dudarev , Max Boleininger

We compared the results of the Madden-Glandt (MG) integral equation approximation for partly-quenched systems with the commonly accepted formalism of Given and Stell (GS). The system studied was a +1:-1 restricted primitive model (RPM)…

软凝聚态物质 · 物理学 2013-12-18 M. Lukšič , B. Hribar-Lee
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