Search results for "Coulomb"

Novel 3D bio-macromolecular bilinear descriptors for protein science: Predicting protein structural classes

2015

In the present study, we introduce novel 3D protein descriptors based on the bilinear algebraic form in the ℝn space on the coulombic matrix. For the calculation of these descriptors, macromolecular vectors belonging to ℝn space, whose components represent certain amino acid side-chain properties, were used as weighting schemes. Generalization approaches for the calculation of inter-amino acidic residue spatial distances based on Minkowski metrics are proposed. The simple- and double-stochastic schemes were defined as approaches to normalize the coulombic matrix. The local-fragment indices for both amino acid-types and amino acid-groups are presented in order to permit characterizing fragme…

Spontaneous fragmentation of multiply charged metal clusters.

1987

Electromagnetic properties of low-lying states in neutron-deficient Hg isotopes: Coulomb excitation of Hg-182, Hg-184, Hg-186 and Hg-188

2019

The neutron-deficient mercury isotopes serve as a classical example of shape coexistence, whereby at low energy near-degenerate nuclear states characterized by different shapes appear. The electromagnetic structure of even-mass 182-188 Hg isotopes was studied using safe-energy Coulomb excitation of neutron-deficient mercury beams delivered by the REX-ISOLDE facility at CERN. The population of $ 0^{+}_{1,2}$01,2+, $ 2^{+}_{1,2}$21,2+and $ 4^{+}_{1}$41+states was observed in all nuclei under study. Reduced E2 matrix elements coupling populated yrast and non-yrast states were extracted, including their relative signs. These are a sensitive probe of shape coexistence and may be used to validate…

On deterministic solutions for multi-marginal optimal transport with Coulomb cost

2022

In this paper we study the three-marginal optimal mass transportation problem for the Coulomb cost on the plane $\R^2$. The key question is the optimality of the so-called Seidl map, first disproved by Colombo and Stra. We generalize the partial positive result obtained by Colombo and Stra and give a necessary and sufficient condition for the radial Coulomb cost to coincide with a much simpler cost that corresponds to the situation where all three particles are aligned. Moreover, we produce an infinite class of regular counterexamples to the optimality of this family of maps.

Toward Single Electron Nanoelectronics Using Self-Assembled DNA Structure

2016

DNA based structures offer an adaptable and robust way to develop customized nanostructures for various purposes in bionanotechnology. One main aim in this field is to develop a DNA nanobreadboard for a controllable attachment of nanoparticles or biomolecules to form specific nanoelectronic devices. Here we conjugate three gold nanoparticles on a defined size TX-tile assembly into a linear pattern to form nanometer scale isolated islands that could be utilized in a room temperature single electron transistor. To demonstrate this, conjugated structures were trapped using dielectrophoresis for current-voltage characterization. After trapping only high resistance behavior was observed. However…

Simulation of electronic states in a nanowire field-effect transistor

2015

De acuerdo con la ley empírica de Moore, el número de transistores en un circuito integrado se ve duplicado aproximadamente cada dos años. Una vez traspasada la frontera hacia la escala nanométrica, estos dispositivos comienzan a padecer efectos adversos al funcionamiento deseable de un transistor, como la pérdida de integridad eléctrica, efectos debidos a la corta longitud del canal o la falta de reproducibilidad. Las nanoestructuras cristalinas semiconductoras conocidas como nanohilos están emergiendo como candidatos prometedores para formar una nueva base alternativa de los transistores de efecto campo y continuar la miniaturización tecnológica en la escala nanométrica. Esto es debido al…

Single-electron tunneling in metal droplets in the high conductance regime

2001

We present single-electron tunneling results for well-characterized multidroplet systems in the high conductance regime. The work was conducted with tunnel systems comprising ultra-small Ni droplets. The conductance associated with individual droplets was estimated to reach 18--19G{sub K} in systems exhibiting especially high conductance. The P(E) (phase correlation) theory has been successfully applied to the conductance characteristics of these systems. Our results suggest that in the high conductance regime the droplets can be modeled as single, resistively isolated tunnel junctions. Based on an analysis of the single-electron properties of these systems, the average number of droplets N…

Mixed and Nitsche's discretizations of frictional contact-mechanics in fractured porous media

2023

This work deals with the discretization of single-phase Darcy flows in fractured and deformable porous media, including frictional contact at the matrix-fracture interfaces. Fractures are described as a network of planar surfaces leading to so-called mixed dimensional models. Small displacements and a linear poro-elastic behavior are considered in the matrix. One key difficulty to simulate such coupled poro-mechanical models is related to the formulation and discretization of the contact mechanical sub-problem. Our starting point is based on the mixed formulation using facewise constant Lagrange multipliers along the fractures representing normal and tangential stresses. This is a natural c…

Normal Coulomb Frames in $${\mathbb{R}}^{4}$$

2012

Now we consider two-dimensional surfaces immersed in Euclidean spaces \({\mathbb{R}}^{n+2}\) of arbitrary dimension. The construction of normal Coulomb frames turns out to be more intricate and requires a profound analysis of nonlinear elliptic systems in two variables. The Euler–Lagrange equations of the functional of total torsion are identified as non-linear elliptic systems with quadratic growth in the gradient, and, more exactly, the nonlinearity in the gradient is of so-called curl-type, while the Euler–Lagrange equations appear in a div-curl-form. We discuss the interplay between curvatures of the normal bundles and torsion properties of normal Coulomb frames. It turns out that such …

First-forbidden transitions in the reactor anomaly

2018

We study the dominant forbidden transitions in the antineutrino spectra of the fission actinides from 4 MeV onward using the nuclear shell model. Through explicit calculation of the shape factor, taking into account Coulomb corrections, we show the expected changes on cumulative electron and antineutrino spectra. Compared to the usual allowed approximation this results in a minor decrease of electron spectra from 4 MeV and onward, whereas an increase of several percent is observed in antineutrino spectra. We show that, despite their limited number, forbidden transitions dominate the spectral flux for most of the experimentally accessible range. Based on the shell model calculations we attem…