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Accurate theoretical results for interdigitated array of electrodes (IDAE) in semi-infinite cells can be found in the literature. However, these results are not always applicable when using finite cells. In this study, theoretical…

Chemical Physics · Physics 2016-02-23 Cristian Guajardo , Sirimarn Ngamchana , Werasak Surareungchai

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

The space-charge-limited current in a zero thickness planar thin film depends on the geometry of the electrodes. We present a theory which is to a large extent analytical and applicable to many different lay-outs. We show that a…

Classical Physics · Physics 2016-09-28 Patrick De Visschere

A drastic cumulation of current density caused by electrostatic repulsion in relativistic vacuum diodes with ring-type cathodes is described theoretically and confirmed experimentally. The distinctive feature of the suggested cumulation…

In this paper, we introduce a conduction model of Fermi particles on a finite sample, and investigate the asymptotic behavior of stationary current for large sample size. In our model a sample is described by a one-dimensional finite…

Mathematical Physics · Physics 2020-09-24 Kazuki Yamaga

The quantum transport via a donor (D)-bridge (B)-acceptor (A) single molecule is studied using density functional theory in conjunction with the Landauer-B\"{u}ttiker formalism. Asymmetric electrical response for opposite biases is observed…

Mesoscale and Nanoscale Physics · Physics 2008-09-22 Haiying He , Ravindra Pandey , Govind Mallick , Shashi P. Karna

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

Entrainment of limit cycles by chaos [1] is discovered numerically through specially designed unidirectional coupling of two glow discharge-semiconductor systems. By utilizing the auxiliary system approach [2], it is verified that the…

Chaotic Dynamics · Physics 2014-06-18 Marat Akhmet , Ismail Rafatov , Mehmet Onur Fen

We investigate the effect of adsorption-desorption phenomenon of ions in an asymmetric electrolytic cell at open circuit conditions. Our approach is based on the Poisson-Nernst-Planck theory for electrolytes and the kinetic model of…

Chemical Physics · Physics 2017-12-06 S. Bousiadi , I. Lelidis

Recent studies have applied variational calculus, conformal mapping, and point transformations to generalize the one-dimensional (1D) space-charge limited current density (SCLCD) and electron emission mechanisms to nonplanar geometries;…

Applied Physics · Physics 2025-07-21 Allen L. Garner , N. R. Sree Harsha , Amanda M. Loveless

Understanding space-charge limited current density (SCLCD) is fundamentally and practically important for characterizing many high-power and high-current vacuum devices. Despite this, no analytic equations for SCLCD with nonzero…

Classical Physics · Physics 2023-01-04 N. R. Sree Harsha , Jacob M. Halpern , Adam M. Darr , Allen L. Garner

Persistent current is a small but perpetual electric current that flows in metallic rings in the absence of any applied source. We compute the persistent currents of one-dimensional disordered metallic rings of interacting electrons in the…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 R. O. Okanigbuan , K. N. Onaiwu , S. Ehika

We study the current produced in a Tomonaga-Luttinger liquid by an applied bias and by weak, point-like impurity potentials which are oscillating in time. We use bosonization to perturbatively calculate the current up to second order in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Agarwal , Diptiman Sen

Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric nearest-neighbor simple exclusion [Ann. Inst. Henri Poincare…

Probability · Mathematics 2013-05-28 Sunder Sethuraman , S. R. S. Varadhan

We study charge pumping when a combination of static potentials and potentials oscillating with a time period T is applied in a one-dimensional system of non-interacting electrons. We consider both an infinite system using the Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Abhiram Soori , Diptiman Sen

We investigate the subtle effects of diffuse charge on interfacial kinetics by solving the governing equations for ion transport (Nernst-Planck) with realistic boundary conditions representing reaction kinetics (Butler-Volmer) and…

Soft Condensed Matter · Physics 2007-05-23 A. Bonnefont , F. Argoul , M. Z. Bazant

A novel 3-electrode cell type is introduced to run parametrical studies of H$_2$ evolution in an alkaline electrolyte on porous electrodes. Electrochemical methods combined with a high-speed optical measurement system are applied…

We investigate the finite temperature fermionic condensate and the expectation values of the charge and current densities for a massive fermion field in a spacetime background with an arbitrary number of toroidally compactified spatial…

High Energy Physics - Theory · Physics 2014-04-23 S. Bellucci , E. R. Bezerra de Mello , A. A. Saharian

We use computational simulations to study the electron emission and propagation in planar vacuum diodes. We show how space-charge affects thermionic emission from cathodes with two different values of work function that form a checkerboard…

Computational Physics · Physics 2021-01-25 Anna Sitek , Kristinn Torfason , Andrei Manolescu , Agust Valfells

The correspondence between the steady state theory of current transfer and scattering theory in a system of coupled tight-binding models of 1-dimensional wires is explored. For weak interwire coupling both calculations give nearly identical…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Vered Ben-Moshe , Dhurba Rai , Spiros S. Skourtis , Abraham Nitzan