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We describe the general phenomenon of `induced-charge electro-osmosis' (ICEO) -- the nonlinear electro-osmotic slip that occurs when an applied field acts on the ionic charge it {\sl induces} around a polarizable surface. Motivated by a…

Fluid Dynamics · Physics 2007-05-23 Todd M. Squires , Martin Z. Bazant

We present a theory to investigate electro-kinetic behavior, namely, electrorotation and dielectrophoresis under alternating current (AC) applied fields for a pair of touching inhomogeneous colloidal particles and biological cells. These…

Soft Condensed Matter · Physics 2007-05-23 J. P. Huang , Mikko Karttunen , K. W. Yu , L. Dong , G. Q. Gu

The steady state of ions diffusion in polymer electrolytes at arbitrary applied voltage is analyzed in the framework of the Nernst-Planck-Poisson equation (NPP). The exact solution of the set of equations is found without the assumption of…

Soft Condensed Matter · Physics 2008-06-10 Anatoly Golovnev , Steffen Trimper

Motivated by recent experiments, we present a theoretical investigation of how the electro-osmotic flow occurring in a capillary is modified when its charged surfaces are coated by charged polymers. The theoretical treatment is based on a…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 Umberto Marini Bettolo Marconi , Michele Monteferrante , Simone Melchionna

We theoretically study electrostatic properties of electric double layer using a generalized Poisson-Boltzmann approach taking into account the orientational ordering of water dipoles and the excluded volume effect of water molecules as…

Soft Condensed Matter · Physics 2022-02-14 Jun-Sik Sin , Song-Jin Im , Kwang-Il Kim

The electrostatic correlations between ions profoundly influence the structure and forces within electrical double layers. Here, we apply the modified Gaussian Renormalized Fluctuation theory to investigate the counter-intuitive phenomenon…

Soft Condensed Matter · Physics 2025-02-04 Nikhil R. Agrawal , Carlo Carrao , Rui Wang

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 derive a mathematical model of a nematic electrolyte based on the Leslie-Ericksen theory of liquid crystal flow. Our goal is to investigate the nonlinear electrokinetic effects that occur because the nematic matrix is anisotropic, in…

Soft Condensed Matter · Physics 2016-06-07 M. Carme Calderer , Dmitry Golovaty , Oleg Lavrentovich , Noel J. Walkington

We develop a theory of nonlinear response to an electric field of a two-dimensional electron gas (2DEG) placed in a classically strong magnetic field. The latter leads to a non-linear current-voltage characteristic at a relatively weak…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 M. G. Vavilov , I. L. Aleiner , L. I. Glazman

We consider two charged semipermeable membranes, which bound bulk electrolyte solutions and are separated by a thin film of salt-free liquid. Small counter-ions permeate into the gap, which leads to a steric charge separation in the system.…

Soft Condensed Matter · Physics 2016-11-23 Salim R. Maduar , Olga I. Vinogradova

The behavior of electrolyte solutions close to a charged surface is studied theoretically. A modified Poisson-Boltzmann equation which takes into account the volume excluded by the ions in addition to the electrostatic interactions is…

Soft Condensed Matter · Physics 2007-05-23 I. Borukhov , D. Andelman , H. Orland

The electro-osmotic flow through a channel between two undulated surfaces induced by an external electric field is investigated. The gap of the channel is very small and comparable to the thickness of the electrical double layers. A lattice…

Soft Condensed Matter · Physics 2016-05-24 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

We derive an expression for the static dielectric constant of the colloidal susp ensions based on the electrokinetic equations. The analysis assumes that the ions have the same diffusivity, and that the double layer is much thinner than the…

Soft Condensed Matter · Physics 2009-11-07 C. -Y. D. Lu

In this paper we report the theory describing the electro-osmotic flow in charged nanopores with constant radius and charge density driven by alternating current. We solve the ion and solution transport in unsteady conditions as described…

Chemical Physics · Physics 2018-10-17 J. Catalano , P. M. Biesheuvel

The most common mathematical models for electrolyte flows are based on the dilute solution assumption, leading to a coupled system of the Nernst--Planck--Poisson drift-diffusion equations for ion transport and the Stokes resp.…

Chemical Physics · Physics 2019-01-23 Jürgen Fuhrmann , Clemens Guhlke , Christian Merdon , Alexander Linke , Rüdiger Müller

Using molecular dynamics simulations with recently developed importance sampling methods, we show that the differential capacitance of a model ionic liquid based double-layer capacitor exhibits an anomalous dependence on the applied…

Battery electrode surfaces are generally coated with electronically insulating solid films of thickness 1-50 nm. Both electrons and Li+ can move at the electrode-surface film interface in response to the voltage, which adds complexity to…

Materials Science · Physics 2015-07-10 Kevin Leung , Andrew Leenheer

We present a "fluid dynamics video" showing results from direct numerical simulations of electrokinetic transport in a binary electrolyte in two systems: (1) next to an ion-selective membrane and (2) around a metallic cylinder. The…

Fluid Dynamics · Physics 2013-10-15 Mathias B. Andersen , Clara L. Druzgalski , Scott M. Davidson , Ali Mani

Electrophoresis is the motion of particles relative to a surrounding fluid driven by a uniform electric field. In conventional electrophoresis, the electrophoretic velocity grows linearly with the applied field. Nonlinear effects with a…

Soft Condensed Matter · Physics 2024-03-19 Mojtaba Rajabi , Taras Turiv , Bing-Xiang Li , Hend Baza , Dmitry Golovaty , Oleg D. Lavrentovich

A new kinetic instability which results in formation of charge density waves is proposed. The instability is of a purely classical nature. A spatial period of arising space-charge and field configuration is inversely proportional to…

Soft Condensed Matter · Physics 2009-11-07 V. Yu. Kachorovskii , I. S. Lioublinskii , L. D. Tsendin