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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

Nanoparticles in solution acquire charge through dissociation or association of surface groups. Thus, a proper description of their electrostatic interactions requires the use of charge-regulating boundary conditions rather than the…

软凝聚态物质 · 物理学 2021-04-07 Tine Curk , Erik Luijten

We present a theory that enables us to calculate the effective surface charge of colloidal particles and to efficiently obtain titration curves for different salt concentrations. The theory accounts for the shift of pH of solution due to…

软凝聚态物质 · 物理学 2022-11-01 Amin Bakhshandeh , Derek Frydel , Yan Levin

This chapter deals with charged polymers (polyelectrolytes) in solution and at surfaces. The behavior of polyelectrolytes is markedly different from that of neutral polymers. In bulk solutions, i.e. disregarding the surface effect, there…

软凝聚态物质 · 物理学 2009-09-25 Roland R. Netz , David Andelman

The behavior of polyelectrolytes between charged surfaces immersed in semi-dilute solutions is investigated theoretically. A continuum mean field approach is used for calculating numerically concentration profiles between two electrodes…

软凝聚态物质 · 物理学 2007-05-23 I. Borukhov , D. Andelman , H. Orland

We study the contribution of polyelectrolytes in solution to the bending moduli of charged membranes. Using the Helfrich free energy, and within the mean-field theory, we calculate the dependence of the bending moduli on the electrostatics…

软凝聚态物质 · 物理学 2012-01-31 Adi Shafir , David Andelman

The physics of doping a Mott insulator is investigated in the presence of a solid-vacuum interface. Using the embedding approach for dynamical mean field theory we show that the change in surface spectral evolution in a doped Mott insulator…

强关联电子 · 物理学 2011-07-12 Reza Nourafkan , Frank Marsiglio

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

Surface effects on the electronic energy loss of charged particles entering a metal surface are investigated within linear-response theory, in the framework of time-dependent density functional theory. Interesting phenomena occur in the…

材料科学 · 物理学 2007-05-23 A. Garcia-Lekue , J. M. Pitarke

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

We briefly discuss our recent field-theoretic study of polyelectrolyte complexation, which occurs in solutions of two oppositely charged polyelectrolytes. Charged systems require theoretical methods beyond the mean-field (or self-consistent…

软凝聚态物质 · 物理学 2015-05-13 Yuri O. Popov , Jonghoon Lee , Glenn H. Fredrickson

We study the effects of charge-regulated acid/base equilibrium on the swelling of polyelectrolyte gels, by considering a combination of the Poisson-Boltzmann theory and a two-site charge-regulation model based on the Langmuir adsorption…

软凝聚态物质 · 物理学 2023-08-02 Bin Zheng , Yael Avni , David Andelman , Rudolf 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

We study the interaction between two charge regulating spherical macroions with dielectric interior and dissociable surface groups immersed in a monovalent electrolyte solution. The charge dissociation is modelled via the…

软凝聚态物质 · 物理学 2023-12-11 Hu Ruixuan , Arghya Majee , Jure Dobnikar , Rudolf Podgornik

The work reviews on a general level various modified Poisson-Boltzmann equations and demonstrates their use on the specific system of charged particles at an interface. This system is special, first, because it exhibits the long-range…

软凝聚态物质 · 物理学 2012-11-14 Derek Frydel , Martin Oettel

The structural diversity of the solute molecules involved in biomolecular processes necessitates the characterization of the forces between charged macromolecules beyond the point-ion description. From the field theoretic partition function…

软凝聚态物质 · 物理学 2023-06-22 Sahin Buyukdagli

We present a study of the excitations of the edge of a two-dimensional electron droplet in a magnetic field in terms of a contour dynamics formalism. We find that, beyond the usual linear approximation, the non-linear analysis yields…

介观与纳米尺度物理 · 物理学 2009-10-31 C. Wexler , Alan T. Dorsey

The electrostatic double layer force is key to determining the stability and self-assembly of charged colloids and many other soft matter systems. Fully understanding the attractive force between two like-charged surfaces remains a great…

软凝聚态物质 · 物理学 2024-02-27 Nikhil R. Agrawal , Ravtej Kaur , Carlo Carraro , Rui Wang

It has been established for some time that high-power pump can trap a probe beam of lower intensity that is simultaneously propagating in a Kerr-type optical medium, inducing a focusing of the probe with the emergence of modes displaying…

光学 · 物理学 2011-02-22 Alain M. Dikande

Stretching dynamics of polymers in microfluidics is of particular interest for polymer scientists. As a charged polymer, a polyelectrolyte can be deformed from its coiled equilibrium configuration to an extended chain by applying uniform or…

软凝聚态物质 · 物理学 2014-11-18 Farnoush Farahpour , Fathollah Varnik , Mohammad Reza Ejtehadi