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The problem of the equilibrium state of the charged many-particle system above dielectric surface is formulated.We consider the case of the presence of the external attractive pressing field and the case of its absence. The equilibrium…

Statistical Mechanics · Physics 2009-05-21 Dmytro M. Lytvynenko , Yuriy V. Slyusarenko

In this work, the electrohydrodynamics of a pair of leaky dielectric droplets on a solid substrate is investigated by the phase-field-based lattice Boltzmann method. Different from a pair of suspended droplets that may coalesce or separate,…

Fluid Dynamics · Physics 2025-08-15 Jiang Peng , Xi Liu , Zhenhua Chai , Changsheng Huang , Xiufang Chen

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

Electrodynamic properties of the graphene - magnetic semiconductor - graphene sandwich-structure have been investigated theoretically with taking into account the dissipation processes. Influence of graphene layers on electromagnetic waves…

Mesoscale and Nanoscale Physics · Physics 2014-12-31 Dmitry A. Kuzmin , Igor V. Bychkov , Vladimir G. Shavrov

Electronic fluids bring into hydrodynamics a new setting: equipotential flow sources embedded inside the fluid. Here we show that nonlocal relation between current and electric field due to momentum-conserving inter-particle collisions…

Mesoscale and Nanoscale Physics · Physics 2019-07-12 Michal Shavit , Andrey Shytov , Gregory Falkovich

The exact wave functions, which describe the states of an electron, bound in the image potential, and the magnetic field, which is perpendicular to surface of a metal, are obtained. The correction terms to the energy of an electron in the…

Quantum Physics · Physics 2015-02-24 P. A. Golovinski , M. A. Preobrazhenskiy

I present the numerical computation of speed and direction of the drift of a spiral wave in an excitable medium in the presence of an electric field. In contrast to earlier results, the drift speed presents a strong variation close to the…

Soft Condensed Matter · Physics 2007-05-23 Herve Henry

Water-in-oil emulsions and droplets exhibit completely different physico-chemical properties compared to oil-in-water emulsions and droplets. Thus, directly applying a standard theoretical model to water-in-oil systems cannot describe these…

Soft Condensed Matter · Physics 2023-05-26 Yuki Uematsu , Hiroyuki Ohshima

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 study the pairwise interactions of drops in an applied uniform DC electric field within the framework of the leaky dielectric model. We develop three-dimensional numerical simulations using the boundary integral method and an analytical…

Surface waves on liquids act as a dynamical phase grating for incident light. In this article, we revisit the classical method of probing such waves (wavelengths of the order of mm) as well as inherent properties of liquids and liquid films…

Optics · Physics 2009-11-11 Tarun Kr. Barik , Partha Roy Chaudhuri , Anushree Roy , Sayan Kar

We consider a thin droplet that spreads over a flat, horizontal and chemically heterogeneous surface. The droplet is subjected to changes in its volume though a prescribed, arbitrary spatiotemporal function, which varies slowly and vanishes…

Fluid Dynamics · Physics 2021-12-21 Nikos Savva , Danny Groves

We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

The diffraction of electromagnetic waves at the surface periodic structures accompanied by strong anomalous effects in different diffraction orders is considered in great detail for high-contrast interfaces. We restrict our discussion to…

Optics · Physics 2019-07-31 T. Rokhmanova , A. V. Kats

This work is about fluctuations of the surface charge between two media with distinct dielectric functions. The long-range correlation of the surface charge fluctuations is treated classically and quantum mechanically, in the non-retarded…

Statistical Mechanics · Physics 2009-12-17 Ladislav Samaj , Bernard Jancovici

In this paper we calculate and visualize the dynamics of an ensemble of electrons trapping in an electrostatic wave of slowly increasing amplitude, illustrating that, despite disordering of particles in angle during the trapping transition…

Plasma Physics · Physics 2009-01-29 R. L. Dewar , J. C. -C. Yap

In ultra-pure materials electrons may exhibit a collective motion similar to the hydrodynamic flow of a viscous fluid, the phenomenon with far reaching consequences in a wide range of many body systems from black holes to high-temperature…

Mesoscale and Nanoscale Physics · Physics 2020-06-01 Sven Danz , Boris N. Narozhny

We study the phenomenon of the "walking droplet", by means of numerical fluid dynamics simulations using the Smoothed Particle Hydrodynamics numerical method. This phenomenon occurs when a millimetric drop is released on the surface of an…

Fluid Dynamics · Physics 2017-08-17 Diego Molteni , Enrico Vitanza , Onofrio Rosario Battaglia

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

Fluid Dynamics · Physics 2021-12-20 Danny Groves , Nikos Savva

We derive the flow field disturbance produced by point viscosity variations in a heterogeneous fluid when subject to a background flow while neglecting fluid inertia. The disturbance flow field is found to be identical to that generated by…

Fluid Dynamics · Physics 2022-03-25 Debasish Das
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