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相关论文: Weak non-linear surface charging effects in electr…

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A field theory to describe electrostatic interactions in soap films, described by electric multi-layers with a generalized thermodynamic surface-charging mechanism, is studied. In the limit where the electrostatic interactions are weak this…

统计力学 · 物理学 2009-11-07 D. S. Dean , R. R. Horgan

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.…

软凝聚态物质 · 物理学 2007-05-23 William Kung , A. W. C. Lau

Understanding overcharging and charge inversion is one of the long-standing challenges in soft matter and biophysics. To study these phenomena, we employ the modified Gaussian renormalized fluctuation theory, which allows for the…

软凝聚态物质 · 物理学 2024-01-01 Nikhil R. Agrawal , Chao Duan , Rui Wang

Image charge effect is a fundamental problem in electrostatics. However, a proper treatment at the continuum level for many-ion systems, such as electrolyte solutions or ionic liquids, remains an open theoretical question. Here, we…

软凝聚态物质 · 物理学 2024-10-23 Tingtao Zhou , Dorian Bruch , Zhen-Gang Wang

The study of the electrical double layer lies at the heart of colloidal and interfacial science. The standard mean-field Poisson-Boltzmann (PB) theory is incapable of modeling many phenomena originated from ion correlation. An important…

软凝聚态物质 · 物理学 2022-09-26 Nikhil R. Agrawal , Rui Wang

Plasma treatment of polymer films results in their electrical charging, which in turn gives rise to an increase in their surface energy. The process results in pronounced hydrophilization of the polymer surfaces. A phenomenological theory…

We apply general variational techniques to the problem of the counterion distribution around highly charged objects where strong condensation of counterions takes place. Within a field-theoretic formulation using a fluctuating electrostatic…

软凝聚态物质 · 物理学 2009-11-07 Roland R. Netz , Henri Orland

Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case of a viscosity that depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general…

动力系统 · 数学 2009-11-13 A. J. Roberts

We propose a model for predicting the fluctuations of electron states in thin films as function of film thickness. The model was derived based on the assumption of the existence of potential barrier fluctuations on the film surface. Since…

介观与纳米尺度物理 · 物理学 2016-01-19 Mikrajuddin Abdullah

Poisson-Boltzmann theory is the cornerstone for soft matter electrostatics. We provide novel exact analytical solutions to this non-linear mean-field approach, for the diffuse layer of ions in the vicinity of a planar or a cylindrical…

软凝聚态物质 · 物理学 2020-01-29 L. Samaj , E. Trizac

We investigate the effect of quenched surface disorder on effective interactions between two planar surfaces immersed in fluids which are near criticality and belong to the Ising bulk universality class. We consider the case that, in the…

统计力学 · 物理学 2017-12-06 A. Maciolek , O. Vasilyev , V. Dotsenko , S. Dietrich

Surface effects of a doped thin film made of a strongly correlated material are investigated both in the absence and presence of a perpendicular electric field. We use an inhomogeneous Gutzwiller approximation for a single band Hubbard…

强关联电子 · 物理学 2013-01-28 D. Nasr Esfahani , L. Covaci , F. M. Peeters

The Poisson-Boltzmann equation for a strongly charged plate inside a generic charge-asymmetric electrolyte is solved using the method of asymptotic matching. Both near field and far field asymptotic behaviors of the potential are…

软凝聚态物质 · 物理学 2015-06-05 Ming Han , Xiangjun Xing

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

In this paper we review simulation and experimental studies of thermal capillary wave fluctuations as an ideal means for probing the underlying disjoining pressure and surface tensions, and more generally, fine details of the Interfacial…

软凝聚态物质 · 物理学 2014-06-26 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho , Jose G. Palanco

We analyze the simplest problem of electrochemical relaxation in more than one dimension - the response of an uncharged, ideally polarizable metallic sphere (or cylinder) in a symmetric, binary electrolyte to a uniform electric field. In…

材料科学 · 物理学 2009-11-11 Kevin T. Chu , Martin Z. Bazant

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…

软凝聚态物质 · 物理学 2017-02-17 Tomer Markovich , David Andelman , Rudi Podgornik

Mean-field theory is used to model polyelectrolyte adsorption and the possibility of overcompensation of charged surfaces. For charged surfaces that are also chemically attractive, the overcharging is large in high salt conditions,…

软凝聚态物质 · 物理学 2009-11-10 Adi Shafir , David Andelman

The mobility of surface electrons localized over helium films underlying solid substrates has been evaluated by solving the Boltzmann equation in the time relaxation approximation and the force balance equation in which an effective…

介观与纳米尺度物理 · 物理学 2007-05-23 Debora Coimbra , Sviatoslav S. Sokolov , J. -P. Rino , Nelson Studart

Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with…

流体动力学 · 物理学 2015-06-11 Brian D. Storey , Martin Z. Bazant
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