The dynamical properties of entangled polyelectrolytes are investigated theoretically and computationally for a proposed novel micromanipulation setup. Specifically, we investigate the effects of DC and AC electric fields acting longitudinally on knotted DNA chains, modelled as semiflexible chains of charged beads, under mechanical tension. We consider various experimentally accessible values o...

We study transport properties of a two-dimensional electron gas, placed in a classically strong perpendicular magnetic field and in constant and oscillating in-plane electric fields. The analysis is based on a quantum Boltzmann equation derived for a weakly disordered two-dimensional electron gas. We consider disordered potential with both longand short-range correlations. Electron scattering o...

Abstract. 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 particular, transport of ions in a direction perpendicular to the electric field as well as quadratic dependence of the induced flow velocity on the e...

Electrospraying has attracted the attention of many researchers, ranging from analytical chemists to physicists, not only because of the rich physics associated with it, but also due to its wide-ranging applicability. Therefore, considerable research has been devoted to exploring this interfacial phenomenon. However, there still are areas of electrospraying that have remained unexplored. Until ...

The expression for the Coulomb-gauge vector potential in terms of the ‘instantaneous’ magnetic field derived by Stewart (2003 Eur. J. Phys. 24 519) by employing Jefimenko’s equation for the magnetic field and Jackson’s formula for the Coulomb-gauge vector potential can be proven much more simply. In a recent paper [1], Stewart has derived the following expression for the Coulomb-gauge vector po...

The interaction of dielectrophoresis (DEP) particles in an electric field has been observed in many experiments, known as the “particle chains phenomenon”. However, the study in 3D models (spherical particles) is rarely reported due to its complexity and significant computational cost. In this paper, we employed the iterative dipole moment (IDM) method to study the 3D interaction of a large num...

Polar molecules in high-field seeking states cannot be trapped in static traps as Maxwell’s equations do not allow a maximum of the electric field in free space. It is possible to generate an electric field that has a saddle point by superposing an inhomogeneous electric field to an homogeneous electric field. In such a field, molecules are focused along one direction, while being defocused alo...

Assembly and directed orientation of anisotropic particles with an external ac electric field in a range from 1 kHz to 2 MHz were studied for asymmetric composite dumbbells incorporating a silica, titania, or titania/silica (titania:silica = 75:25 vol %) sphere. The asymmetric composite dumbbells, which were composed of a polymethylmethacrylate (PMMA)-coated sphere (core-shell part) and a polys...

We have studied the electrooptic properties of droplets of cholesteric liquid crystal dispersed in a polymer. Application of AC electric fields to the droplets leads to a conversion of the droplet from a nonreflecting to a selectively reflecting appearance. When the field is suddenly