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We analyze the linear stability of the edge of a thin liquid metal layer subject to a transverse high-frequency AC magnetic field. The layer is treated as a perfectly conducting liquid sheet that allows us to solve the problem analytically…

Fluid Dynamics · Physics 2007-05-23 J. Priede , J. Etay , Y. Fautrelle

Possible mechanisms of overlimiting current in unsupported electrolytes, exceeding diffusion limitation, have been intensely studied for their fundamental significance and applications to desalination, separations, sensing, and energy…

Fluid Dynamics · Physics 2015-06-22 Sungmin Nam , Inhee Cho , Joonseong Heo , Geunbae Lim , Martin Z. Bazant , Gunyong Sung , Sung Jae Kim

A finite equilibrium current density arises in the anomalous Hall effect (AHE) as a result of time-reversal symmetry breaking, affecting both the differential current density and total current. This study illustrates the equilibrium current…

Mesoscale and Nanoscale Physics · Physics 2024-12-12 Ning Dai , Bin Zhou

We study current flow around a density inhomogeneity in a two-dimensional electron gas in the presence of a strong magnetic field. The inhomogeneity is parametrized by a power-law tail with an exponent $\beta > 2$. We show that current and…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 P. S. Parashar , M. M. Fogler

When electrodes are biased above the plasma potential, electrons accelerated through the associated electron sheath can dramatically increase the ionization rate of neutrals near the electrode surface. It has previously been observed that…

Plasma Physics · Physics 2017-12-06 Brett Scheiner , Edward Barnat , Scott Baalrud , Matthew Hopkins , Benjamin Yee

Relativistic current sheets have been proposed as the sites of dissipation in pulsar winds, jets in active galaxies and other Poynting-flux dominated flows. It is shown that the steady versions of these structures differ from their…

Astrophysics · Physics 2009-11-10 J. G. Kirk

Non-collisional current sheets that form during the nonlinear development of magnetic reconnection are characterized by a small thickness, of the order of the electron skin depth. They can become unstable to the formation of plasmoids,…

We study the complete electrode model boundary condition for second order elliptic PDE. A specific case of this is the PDE describing the electrostatic potential for a conductive body into which current is injected through electrodes that…

Analysis of PDEs · Mathematics 2024-04-09 Spyros Alexakis

We present 1.5D Vlasov code simulations of the dynamics of electron holes in non-uniform magnetic and electric fields typical of current sheets and, particularly, of the Earth's magnetotail current sheet. The simulations show that spatial…

Plasma Physics · Physics 2021-02-03 Pavel Shustov , Ilya V. Kuzichev , Ivan Y. Vasko , Anton V. Artemyev , Andrew J. Gerrard

We develop analytical models of optical-field electron tunneling from the edge and surface of two-dimensional (2D) materials, including the effects of reduced dimensionality, non-parabolic energy dispersion, band anisotropy, quasi-time…

Mesoscale and Nanoscale Physics · Physics 2023-03-21 Yi Luo , Yee Sin Ang , L. K. Ang

We derive a general expression for the low-temperature current distribution in a two-dimensional electron gas, subjected to a perpendicular magnetic field and in a confining potential that varies slowly on the scale of the magnetic length…

Condensed Matter · Physics 2009-10-22 Michael R. Geller , Giovanni Vignale

We report that an electro-osmotic instability of concentration enrichment in curved geometries for an aqueous electrolyte, as opposed to the well-known one, is initiated exclusively at the enriched interface (anode), rather than at the…

Superconducting thin metallic films, functioning as supercurrent gate-tunable transistors, have considerable potential for future quantum electronic devices. Despite extensive research, a comprehensive microscopic quantitative mechanism…

Superconductivity · Physics 2025-10-21 Giovanni Alberto Ummarino , Alessio Zaccone , Alessandro Braggio , Francesco Giazotto

Quantum transport through an open periodic array of up to five dots is investigated in the presence of a magnetic field. The device spectrum exhibits clear features of the band structure of the corresponding one-dimensional artificial…

Mesoscale and Nanoscale Physics · Physics 2007-07-18 Panagiotis Drouvelis , Giorgos Fagas , Peter Schmelcher

The rate of linear collisionless damping (Landau damping) in a classical electron gas confined to a heated ionized thin film is calculated. The general expression for the imaginary part of the dielectric tensor in terms of the parameters of…

Optics · Physics 2009-11-10 D. F. Zaretsky , Ph. A. Korneev , S. V. Popruzhenko , W. Becker

The electron sheath formation in a DC magnetised plasma of modified hollow cathode source is studied. The discharge consists of two plane parallel cathodes and a small cubical anode placed off axis at the center. The argon plasma is…

Plasma Physics · Physics 2018-08-30 R. Rane , S. Chauhan , P. Bharathi , K. Nigam , P. Bandyopadhyay , S. Mukherjee

The detailed analytical and numerical analysis of the electron spectrum, persistent currents, and their densities for an annulus placed in a constant magnetic field (Corbino disk geometry) is presented. We calculate the current density…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Y. Yerin , V. P. Gusynin , S. G. Sharapov , A. A. Varlamov

Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from nanoscale physics, that dictates their stable…

Analysis of PDEs · Mathematics 2025-09-23 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

In the present work a simple analytical approach is presented in order to clarify the physics behind the edge current density behaviour of a hot plasma entering in contact with a resistive conductor. When a plasma enters in contact with a…

Plasma Physics · Physics 2020-03-10 F. J. Artola , K. Lackner , G. T. A. Huijsmans , M. Hoelzl , E. Nardon , A. Loarte

We evaluate the linearity of three electric measurement techniques of the initial electron density in laser filaments by comparing their results for a pair of filaments and for the sum of each individual filament. The conductivity measured…

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