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相关论文: Poisson-Boltzmann formulary: Third edition

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We investigate theoretically polyelectrolyte bridging interactions on the two-body level. The model system is composed of two macroions with two oppositely charged flexible chains. The electrostatic interactions are treated on the Debye -…

软凝聚态物质 · 物理学 2009-11-10 Rudi Podgornik

We study the adsorption-desorption transition of polyelectrolyte chains onto planar, cylindrical and spherical surfaces with arbitrarily high surface charge densities by massive Monte Carlo computer simulations. We examine in detail how the…

软凝聚态物质 · 物理学 2016-10-05 Sidney J. de Carvalho , Ralf Metzler , Andrey G. Cherstvy

We consider the nonlinear Poisson-Boltzmann equation in the context of electrostatic models for a biological macromolecule, embedded in a bounded domain containing a solution of an arbitrary number of ionic species which is not necessarily…

偏微分方程分析 · 数学 2022-04-26 José A. Iglesias , Svetoslav Nakov

A nonlinear Poisson--Boltzmann equation with transmission boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potential generated by a vector of ion concentrations in a periodic…

偏微分方程分析 · 数学 2018-10-22 Klemens Fellner , Victor Kovtunenko

The electrical double layer (EDL) at aqueous solution-metal oxide interfaces critically affects many fundamental processes in electrochemistry, geology and biology, yet understanding its microscopic structure is challenging for both theory…

We present a derivation of generalized Poisson-Boltzmann equations starting {from} classical theories of binary fluid mixtures, employing an approach based on the Legendre transform as recently applied to the case of local descriptions of…

统计力学 · 物理学 2017-07-05 R. Blossey , A. C. Maggs , R. Podgornik

In this paper, a domain decomposition method for the Poisson-Boltzmann (PB) solvation model that is widely used in computational chemistry is proposed. This method, called ddLPB for short, solves the linear Poisson-Boltzmann (LPB) equation…

数值分析 · 数学 2018-12-20 Chaoyu Quan , Benjamin Stamm , Yvon Maday

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…

软凝聚态物质 · 物理学 2015-08-12 Alexandre P. dos Santos , Yan Levin

Within a dipolar Poisson-Boltzmann theory including electrostatic correlations, we consider the effect of explicit solvent structure on solvent and ion partition confined to charged nanopores. We develop a relaxation scheme for the solution…

软凝聚态物质 · 物理学 2015-10-28 Sahin Buyukdagli

Room temperature ionic liquids are attractive to numerous applications and particularly, to renewable energy devices. As solvent free electrolytes, they demonstrate a paramount connection between the material morphology and Coulombic…

化学物理 · 物理学 2016-03-15 Nir Gavish , Arik Yochelis

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…

软凝聚态物质 · 物理学 2018-03-14 Jinn-Liang Liu , Bob Eisenberg

The nonlinear Poisson-Boltzmann equation (NPBE) is an elliptic partial differential equation used in applications such as protein interactions and biophysical chemistry (among many others). It describes the nonlinear electrostatic potential…

数值分析 · 数学 2023-09-29 Trevor Norton , Jie Xu , Brian Choi , Mark Kon , Julio Enrique Castrillón-Candás

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…

等离子体物理 · 物理学 2017-08-02 Franz X. Bronold , Holger Fehske

In this paper, we develop a domain decomposition method for the nonlinear Poisson-Boltzmann equation based on a solvent-excluded surface widely used in computational chemistry. The model relies on a nonlinear equation defined in…

数值分析 · 数学 2024-04-08 Abhinav Jha , Benjamin Stamm

Mean-field electrostatics is used to calculate the bending moduli of an electric double layer for fixed surface charge density of a macroion in a symmetric 1:1 electrolyte. The resulting expressions for bending stiffness, Gaussian modulus,…

软凝聚态物质 · 物理学 2018-08-06 Guilherme Volpe Bossa , Bjorn K. Berntson , Sylvio May

The Poisson-Boltzmann equation (PBE) models the electrostatic interactions of charged bodies such as molecules and proteins in an electrolyte solvent. The PBE is a challenging equation to solve numerically due to the presence of…

数值分析 · 数学 2018-07-17 Jehanzeb H. Chaudhry

We consider the non-linear Poisson-Boltzmann theory for a single cylindrical or spherical macro-ion in symmetric 1:1, together with asymmetric 1:2 and 2:1 electrolytes. We focus on the regime where $\kappa a $, the ratio of the macro-ion…

软凝聚态物质 · 物理学 2015-07-28 L. Samaj , E. Trizac

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

软凝聚态物质 · 物理学 2017-10-17 Timo Schmetzer

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

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…

软凝聚态物质 · 物理学 2024-09-27 N. N. Kalikin , Yu. A. Budkov