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Displacement calibration of nanomechanical plate resonators presents a challenging task. Large nanomechanical resonator thickness reduces the amplitude of the resonator motion due to its increased spring constant and mass, and its unique…

We study the local well-posedness of the solution to a coupled nonlinear elliptic-parabolic system which models electrical discharge in a Micro-Electro-Mechanical System (MEMS). A simple MEMS capacitor device contains two plates acting as…

Analysis of PDEs · Mathematics 2026-02-26 Heiko Gimperlein , Runan He , Andrew A. Lacey

We consider a Casimir apparatus consisting of two perfectly conducting parallel plates, subject to the weak gravitational field of the Earth. The aim of this paper is the calculation of the energy-momentum tensor of this system for a free,…

High Energy Physics - Theory · Physics 2008-11-26 George M. Napolitano , Giampiero Esposito , Luigi Rosa

Two factors contribute to the electrical capacitance between two electrodes: a classical contribution, stemming from the electric field, and a quantum contribution, governed by the Pauli exclusion principle, which increases the difficulty…

Mesoscale and Nanoscale Physics · Physics 2025-10-08 T. de Ara , B. Olivera , C. Sabater , C. Untiedt

We discuss possibility to obtain stronger constraints on non-Newtonian gravity from measuring the gradient of the Casimir force between a cylinder and a plate. Exact analytical expression for the Yukawa-type force in a cylinder-plate…

General Relativity and Quantum Cosmology · Physics 2010-12-24 G. L. Klimchitskaya , C. Romero

In this paper we calculate the Casimir-Polder force density (force per unit area acting on the elements of the surface) on a metallic plate placed in front of a neutral atom. To obtain the force density we use the quantum operator…

Quantum Physics · Physics 2009-11-13 R. Messina , R. Passante

The excitation of surface plasmons with ultra-intense ($I\sim 5\times 10^{19}$ W/cm$^2$), high contrast ($\sim 10^{12}$) laser pulses on periodically-modulated solid targets has been recently demonstrated to produce collimated bunches of…

Using non-equilibrium renormalized perturbation theory to second order in the renormalized Coulomb repulsion, we calculate the lesser $\Sigma^<$ and and greater $\Sigma^>$ self-energies of the impurity Anderson model, which describes the…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 A. A. Aligia

The so-called negative electron compressibility refers to the lowering of the chemical potential of a metallic system when the carrier density increases. This effect has often been invoked in the past to explain the enhancement of the…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Javier Junquera , Pablo García-Fernández , Massimiliano Stengel

The lateral Casimir force, which arises between aligned sinusoidally corrugated surfaces of a sphere and a plate, was measured for the case of a small corrugation period beyond the applicability region of the proximity force approximation.…

Quantum Physics · Physics 2010-03-15 H. -C. Chiu , G. L. Klimchitskaya , V. N. Marachevsky , V. M. Mostepanenko , U. Mohideen

Non-perturbatively computing the hadronic vacuum polarization at large photon virtualities and making contact with perturbation theory enables a precision determination of the electromagnetic coupling at the $Z$ pole, which enters global…

High Energy Physics - Lattice · Physics 2022-01-19 Marco Cè , Tim Harris , Harvey B. Meyer , Arianna Toniato , Csaba Török

Design and operational performance of table-top measurement apparatus is presented towards direct Planck constant traceable high accuracy and high precision small forces and optical power measurements within SI unit system. An…

Instrumentation and Detectors · Physics 2022-05-17 Suren Vasilyan , Thomas Fröhlich , Norbert Rogge

We have studied gain vs. voltage characteristics and position resolutions of multistep capillary plates (two or three capillary plates operating in a cascade), as well as capillary plates operating in a mode when the main amplification…

Instrumentation and Detectors · Physics 2009-11-10 C. Iacobaeus , T. Francke , M. Danielsson , J. Ostling , V. Peskov

We describe a parallel pair of high voltage electric field plates designed and constructed to minimise magnetic Johnson noise. They are formed by laminating glass substrates with commercially available polyimide (Kapton) tape, covered with…

Instrumentation and Detectors · Physics 2016-12-21 I. M. Rabey , J. A. Devlin , E. A. Hinds , B. E. Sauer

Capacitance-Voltage (CV) measurements along with the Mott-Schottky (MS) analysis are widely used for characterization of material and device parameters. Using a simple analytical model, supported by detailed numerical simulations, here we…

Applied Physics · Physics 2018-04-05 Vikas Nandal , Pradeep R. Nair

The recent discovery that silicon nitride membranes can be used as extremely high Q mechanical resonators makes possible a number of novel experiments, which include improved long range vacuum Casimir force measurements, and measurments of…

Quantum Physics · Physics 2008-09-01 Steve Lamoreaux

A simple comparison between the exact and approximate correlation components U of the electron-electron repulsion energy of several states of few-electron harmonium atoms with varying confinement strengths provides a superior validation…

Chemical Physics · Physics 2017-11-16 Jerzy Cioslowski , Mario Piris , Eduard Matito

This article describes a method devised for efficient evaluation of arbitrary static magnetic and electric fields in a source free region needed for long time tracking of charged particles. Field values given on the boundary of the region…

Accelerator Physics · Physics 2019-09-27 Lajos Bojtar

Similarly and highly charged plates in the presence of multivalent counter ions attract each other, leading to electrostatically bound states. Using Monte-Carlo simulations we obtain the inter-plate pressure in the global parameter space.…

Soft Condensed Matter · Physics 2007-05-23 Andre G. Moreira , Roland R. Netz

Due to their collective nature Casimir forces can strongly depend on the geometrical shape of the interacting objects. We study the effect of strong periodic shape deformations of two ideal metal plates on their quantum interaction. A…

Statistical Mechanics · Physics 2009-11-10 Rauno Buescher , Thorsten Emig