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Uncompensated charges do not occur in Nature and any local charge should be a result of charge separation. Dissociable chemical groups at interfaces in contact with ions in solution, whose chemical equilibrium depends both on short-range…

Soft Condensed Matter · Physics 2019-02-21 Yael Avni , David Andelman , Rudolf Podgornik

Fluidic interfaces disintegrate under sufficiently strong electric fields, leading to electrohydrodynamic (EHD) tip streaming. Taylor cones, which emit charged droplets from the tip of a conical cusp, are among the most prominent and…

Fluid Dynamics · Physics 2022-01-05 Sebastian Dehe , Steffen Hardt

We study the dynamics of electric flux discharge by charged particle pair or spherical string or membrane production in various dimensions. When electric flux wraps at least one compact cycle, we find that a single "pair" production event…

High Energy Physics - Theory · Physics 2015-05-30 Matthew Kleban , Karthik Krishnaiyengar , Massimo Porrati

Even though electrowetting-on-dielectric (EWOD) is a useful strategy in a wide array of biological and engineering processes with numerous droplet-manipulation applications, there is still a lack of complete theoretical interpretation on…

Soft Condensed Matter · Physics 2022-03-24 Ke Xiao , Chen-Xu Wu

Motion of chemically driven droplets is analyzed by applying a solvability condition of perturbed hydrodynamic equations affected by the adsorbate concentration. Conditions for traveling bifurcation analogous to a similar transition in…

Fluid Dynamics · Physics 2009-11-11 L. M. Pismen

In this paper, we introduce a diffuse interface model for describing the dynamics of mixtures involving multiple (two or more) phases. The coupled hydrodynamical system is derived through an energetic variational approach. The total energy…

Analysis of PDEs · Mathematics 2014-02-24 J. Brannick , C. Liu , T. Qian , H. Sun

The dynamics of a liquid dielectric attracted by a vertical cylindrical capacitor is studied. Contrary to what might be expected from the standard calculation of the force exerted by the capacitor, the motion of the dielectric is different…

Physics Education · Physics 2009-11-13 Rafael Nardi , Nivaldo A. Lemos

Surface sensitive electric current measurements are important experimental tools poorly corroborated by theoretical models. We show that the drift-diffusion equations offer a framework for a consistent description of such experiments. The…

Mesoscale and Nanoscale Physics · Physics 2017-06-15 Jakub Lis

These lecture notes describe a basic theory of chemically active droplets, which are droplets kept away from equilibrium by driven chemical reactions. The notes assume a basic familiarity with equilibrium thermodynamics of phase separation,…

Soft Condensed Matter · Physics 2024-07-16 David Zwicker

The relation between domain wall motion and intensity of driven current is examined in a phenomenological theory where the kinetic energy is expanded as a series of polynomial function of current density just as the Landau phase transition…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Hao Yu

We give a brief introduction to the mode-coupling theory of the glass transition, a theory which was proposed a while ago to describe the dynamics of supercooled liquids. After presenting the basic equations of the theory, we review some of…

Statistical Mechanics · Physics 2008-02-03 W. Kob

The detail structure of energy output and the dynamic characteristics of electric spark discharge process have been studied to calculate the energy of electric spark induced plasma under different discharge condition accurately. A series of…

Plasma Physics · Physics 2015-09-22 Qingming Liu , Huige Shao , Yunming Zhang

In part 1, we proposed a model of dynamics of wetting for slow movements near a contact line formed at the interface of two immiscible fluids and a solid when viscous dissipation remains bounded. The contact line is not a material line and…

Classical Physics · Physics 2008-01-15 Henri Gouin

Conventional electrical circuits are generally rigid in their components and working styles which are not flexible and stretchable. From an alternative, liquid metal based soft electronics is offering important opportunities for innovating…

Applied Physics · Physics 2018-03-29 Yi Ren , Jing Liu

We study the dynamics of collisions between a pair of uncharged conducting droplets under the influence of a uniaxial compressional flow and an external electric field. The near-field asymptotic expression for the electric-field-induced…

Fluid Dynamics · Physics 2025-05-23 Pijush Patra , Anubhab Roy , J. S. Wettlaufer

Generation of thermal convection flow in the liquid metal battery, a device recently proposed as a promising solution for the problem of the short-term energy storage, is analyzed using a numerical model. It is found that convection caused…

Fluid Dynamics · Physics 2017-01-25 Yuxin Shen , Oleg Zikanov

The Mott-Gurney equation (Child's law) has been frequently applied to measure the mobility of carrier transport layers. One of the main assumption in the Mott-Gurney theory is ignoring the diffusive currents. It was not obvious, however,…

Materials Science · Physics 2014-08-18 Kazuhiko Seki

We study experimentally and numerically the onset of tip streaming in an electrified droplet. The experiments show that, for a sufficiently small dimensionless conductivity, the droplet apex oscillates before ejecting a liquid jet. This…

Nonlinear dynamics of the free surface of finite depth non-conducting fluid with high dielectric constant subjected to a strong horizontal electric field is considered. Using the conformal transformation of the region occupied by the fluid…

Fluid Dynamics · Physics 2018-03-14 Evgeny A. Kochurin , Nikolay M. Zubarev

We study here the curious particle dynamics resulting from electro-osmotic flow around a microchannel junction corner whose dielectric walls are weakly polarizable. The hydrodynamic velocity field is obtained via superposition of a linear…

Fluid Dynamics · Physics 2015-06-19 Matan Zehavi , Gilad Yossifon