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Two conducting nanostructures on a conducting base-plate, and with a common applied electrostatic field, interact because their electrons are a common electron-thermodynamic system. Except at small separations, the interaction reduces the…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 Richard G Forbes

Recent analyses of the field enhancement factor (FEF) from multiple emitters have revealed that the depolarization effect is more persistent with respect to the separation between the emitters than originally assumed. It has been shown…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Fernando F. Dall'Agnol , Thiago A. de Assis , Richard G. Forbes

A recent analytical model for large area field emitters, based on the line charge model (LCM), provides a simple approximate formula for the field enhancement on hemi-ellipsoidal emitter tips in terms of the ratio of emitter height and…

Applied Physics · Physics 2022-01-06 Rashbihari Rudra , Debabrata Biswas

In this dissertation, we analytically study the apex field enhancement factor (FEF), $\gamma_a$, by constructing a method which consists in minimizing an error function defined as to measure the deviation of the potential at the boundary,…

Classical Physics · Physics 2019-09-24 Adson Soares de Souza

It is well known that sufficiently strong electrostatic fields are able to change the morphology of Large Area Field Emitters (LAFEs). This phenomenon affects the electrostatic interactions between adjacent sites on a LAFE during field…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Edgar Marcelino , Thiago A. de Assis , Caio M. C. de Castilho

Electrostatic shielding is an important consideration for large area field emitters (LAFE) and results in a distribution of field enhancement factors even when the constituent emitters are identical. Ideally, the mean and variance together…

Applied Physics · Physics 2021-12-10 Rashbihari Rudra , Debabrata Biswas

Numerical simulations are important when assessing the many characteristics of field emission related phenomena. In small simulation domains, the electrostatic effect from the boundaries is known to influence the calculated apex field…

Mesoscale and Nanoscale Physics · Physics 2018-07-02 Thiago A. de Assis , Fernando F. Dall'Agnol

This review of quantitative field emitter electrostatics, covering analytical, numerical and fitted-formula approaches, is thought the first of its kind. The review relates chiefly to situations where emitters operate in an electronically…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Thiago A. de Assis , Fernando F. Dall'Agnol , Richard G. Forbes

When solving the Laplace equation numerically via computer simulation, in order to determine the field values at the surface of a shape model that represents a field emitter, it is necessary to define a simulation box and, within this, a…

Computational Physics · Physics 2023-03-22 Fernando F. Dall'Agnol , Thiago A. de Assis , Richard G. Forbes

With a large-area field electron emitter, when an individual post-like emitter is sufficiently resistive, and current through it sufficiently large, then voltage loss occurs along it. This Letter provides a simple analytical and conceptual…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Richard G. Forbes

In the literature about field emission, finite elements and finite differences techniques are being increasingly employed to understand the local field enhancement factor (FEF) via numerical simulations. In theoretical analyses, it is usual…

Computational Physics · Physics 2023-05-03 Thiago A. de Assis , Fernando F. Dall'Agnol

In the present article the classical problem of electromagnetic scattering by a single homogeneous sphere is revisited. Main focus is the study of the scattering behavior as a function of the material contrast and the size parameters for…

Classical Physics · Physics 2017-06-28 Dimitrios C. Tzarouchis , Pasi Ylä-Oijala , Ari Sihvola

We present a collection of well-conditioned integral equation methods for the solution of electrostatic, acoustic or electromagnetic scattering problems involving anisotropic, inhomogeneous media. In the electromagnetic case, our approach…

Numerical Analysis · Mathematics 2018-05-15 Lise-Marie Imbert-Gerard , Felipe Vico , Leslie Greengard , Miguel Ferrando

This work presents an accurate numerical study of the electrostatics of systems formed by individual nanostructure mounted on support substrate tip, a theoretical prototype for applications in field electron emission or for construction of…

Mesoscale and Nanoscale Physics · Physics 2016-09-30 Thiago A. de Assis , Fernando F. Dall'Agnol

The scattering of conduction electrons by crystalline electric field (CEF) excitations may enhance their effective quasiparticle mass similar to scattering from phonons. A wellknown example is Pr metal where the isotropic exchange…

Strongly Correlated Electrons · Physics 2009-11-13 G. Zwicknagl , P. Thalmeier , P. Fulde

The proximity of the anode to a curved field electron emitter alters the electric field at the apex and its neighbourhood. A formula for the apex field enhancement factor, $\gamma_a(D)$, for generic smooth emitters is derived using the line…

Applied Physics · Physics 2022-01-06 Debabrata Biswas

We compare two theoretical approaches to dielectric diblock copolymer melts in an external electric field. The first is a relatively simple analytic expansion in the relative copolymer concentration, and includes the full electrostatic…

Soft Condensed Matter · Physics 2012-01-31 Yoav Tsori , David Andelman , Chin-Yet Lin , M. Schick

Electron elastic-scattering phase shifts and cross sections along with the differential and total cross sections and polarization of low-frequency bremsstrahlung upon low-energy electron collision with endohedral fullerenes $A$@C$_{60}$ are…

Atomic Physics · Physics 2015-02-26 V. K. Dolmatov , C. Bayens , M. B. Cooper , M. E. Hunter

We study finite size effects in the variance of the displacement of a tagged particle in the stationary state of the Asymmetric Simple Exclusion Process (ASEP) on a ring of size $L$. The process involves hard core particles undergoing…

Statistical Mechanics · Physics 2009-11-13 Shamik Gupta , Satya N. Majumdar , Claude Godrèche , Mustansir Barma

We consider the enhancement of electric field in the presence of two perfectly conducting spheres. When the two spheres get closer, the electric field have a much larger magnitude compared to the external field in the small gap region…

Analysis of PDEs · Mathematics 2015-02-17 Mikyoung Lim , Sanghyeon Yu
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