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We theoretically investigate electrostatic properties between two charged surfaces with a grafted polyelectrolyte layer in an aqueous electrolyte solution by using the Poisson-Boltzmann approach accounting for ion partitioning. In order to…

Soft Condensed Matter · Physics 2022-02-07 Jun-Sik Sin

We evaluate the electrostatic interaction energy between two surfaces, one flat and the other slightly curved, in terms of the two-point autocorrelation functions for patch potentials on each one of them, and of a single function $\psi$…

High Energy Physics - Theory · Physics 2015-06-17 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

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…

Soft Condensed Matter · Physics 2024-01-01 Nikhil R. Agrawal , Chao Duan , Rui Wang

We investigate the effect of electron-electron interactions on the transport properties of disordered quasi one-dimensional quantum wires with two or more subbands occupied. We apply two alternative methods to solve the logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Arisato Kawabata , Tobias Brandes

The charge distribution at the interface between two electrolytes is studied for the case of non-vanishing ion fluxes. The analysis is an extension of the established Verwey-Niessen theory to non-equilibrium situations. Applying matched…

Soft Condensed Matter · Physics 2011-05-03 Steffen Hardt , Tobias Baier

Similarly and highly charged plates in the presence of multivalent counter ions attract each other, leading to electrostatically bound states. Using Monte-Carlo simulations we obtain the inter-plate pressure in the global parameter space.…

Soft Condensed Matter · Physics 2007-05-23 Andre G. Moreira , Roland R. Netz

The interplay between different types of disorder and electron-electron interactions in graphene planes is studied by means of Renormalization Group techniques. The low temperature properties of the system are determined by fixed points…

Strongly Correlated Electrons · Physics 2009-11-10 T. Stauber , F. Guinea , M. A. H. Vozmediano

These lectures provide an introduction to the theory of disordered interacting electron systems. In particular, we concentrate on those aspects which are fundamental for the problem of the metal-insulator transition due to the interplay of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Carlo Di Castro , Roberto Raimondi

We investigate the theoretical nonlinear response, Hessian stability, and possible wrinkling behaviour of a voltage-activated dielectric plate immersed in a tank filled with silicone oil. Fixed rigid electrodes are placed on the top and…

Soft Condensed Matter · Physics 2020-09-10 Yipin Su , Weiqiu Chen , Luis Dorfmann , Michel Destrade

We study the interaction between heterogeneously charged surfaces in an electrolyte solution by employing classical Density Functional Theory (cDFT) and Monte Carlo simulations. We observe a consistent behavior between cDFT and Monte Carlo…

Soft Condensed Matter · Physics 2023-07-11 Shiqi Zhou , Amin Bakhshandeh

We consider a statistical mechanical model of a generic flexible polyelectrolyte, comprised of identically charged monomers with long range electrostatic interactions, and short-range interactions quantified by a disorder field along the…

Soft Condensed Matter · Physics 2025-04-24 V. Stepanyan , A. Badasyan , V. Morozov , Y. Mamasakhlisov , R. Podgornik

We theoretically study the electrokinetic problem of a pressure-induced liquid flow through a narrow long channel with charged walls, going beyond the classical Helmholtz-Schmolukowski picture by considering the surprisingly strong combined…

Soft Condensed Matter · Physics 2018-08-01 B. L. Werkhoven , J. C. Everts , S. Samin , R. van Roij

We consider a one-dimensional model allowing analytical derivation of the effective interactions between two charged colloids. We evaluate exactly the partition function for an electroneutral salt-free suspension with dielectric jumps at…

Soft Condensed Matter · Physics 2021-04-23 Lucas Varela , Gabriel Tellez , Emmanuel Trizac

We evaluate the electrostatic potential and the electrostatic field created by a point charge and an arbitrarly oriented electrical dipole placed near a grounded perfectly conducting sphere. Induced surface charge distributions as well as…

Physics Education · Physics 2013-04-18 F C Santos , A C Tort

We analyze charging effects in graphene quantum dots. Using a simple model, we show that, when the Fermi level is far from the neutrality point, charging effects lead to a shift in the electrostatic potential and the dot shows standard…

Mesoscale and Nanoscale Physics · Physics 2008-02-06 B. Wunsch , T. Stauber , F. Guinea

Although significant insights have been obtained into chemical and physical properties that govern to the performance of catalysts in traditional thermal processes, the work on electro-, photo-, or plasma-catalytic approaches has been…

Chemical Physics · Physics 2021-04-20 Kristof M. Bal , Stijn Huygh , Erik C. Neyts

A model for ionic solutions with an attractive short-range pair interaction between the ions is presented. The short-range interaction is accounted for by adding a quadratic non-local term to the Poisson-Boltzmann free energy. The model is…

Soft Condensed Matter · Physics 2009-10-31 Yoram Burak , David Andelman

We show that topological defects in an ion-doped nematic liquid crystal can be used to manipulate the surface charge distribution on chemically homogeneous, charge-regulating external surfaces, using a minimal theoretical model. In…

Soft Condensed Matter · Physics 2020-07-16 Miha Ravnik , Jeffrey C. Everts

We investigate the statistical mechanics of an inhomogeneous Coulomb fluid composed of charged particles with static polarizability. We derive the weak- and the strong-coupling approximations and evaluate the partition function in a planar…

Soft Condensed Matter · Physics 2013-04-22 Vincent Démery , David S. Dean , Rudolf Podgornik

Surface charging is a phenomenon ubiquitously observable in in-situ transmission electron microscopy of non-conducting specimens as a result of electron beam/sample interactions or optical stimuli and often limits the achievable image…

Mesoscale and Nanoscale Physics · Physics 2024-08-27 Jonathan T. Weber , Sascha Schäfer
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