scholarly journals Three-Dimensional S-Matrix Simulation of Single-Electron Resonant Tunnelling Through Random Ionised Donor States

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 103-106
Author(s):  
Hiroshi Mizuta
Keyword(s):  
Numerical Study ◽  
Transmission Rate ◽  
Three Dimensional ◽  
Single Electron ◽  
Resonant Tunnelling ◽  
Total Transmission ◽  
Single Donor ◽  
S Matrix ◽  
Donor States ◽  
Current Steps

This paper presents a numerical study of single-electron resonant tunnelling (RT) assisted by a few ionised donors in a laterally-confined resonant tunnelling diode (LCRTD). The 3D multi-mode S-matrix simulation is performed newly introducing the scattering potential of discrete impurities. With a few ionised donors being placed, the calculated energy-dependence of the total transmission rate shows new resonances which are donor-configuration dependent. Visualised electron probability density reveals that these resonances originate in RT via single-donor-induced localised states. The I-V characteristics show current steps of order 0.1 nA per donor before the main current peak, which is quantitatively in good agreement with the experimental results.

Resonant tunnelling through single donor states in GaAs/AlAs/GaAs devices

2003 ◽  
Vol 17 ◽  
pp. 303-304 ◽  
Author(s):  
Marta Gryglas ◽  
Michal Baj ◽  
Benoit Jouault ◽  
Giancarlo Faini ◽  
Antonella Cavanna
Keyword(s):  
Resonant Tunnelling ◽  
Single Donor ◽  
Gaas Devices ◽  
Donor States

BOUND, VIRTUAL AND RESONANCE STATES OF THE THREE-DIMENSIONAL DIRAC AND SCHRÖDINGER SQUARE WELL

2013 ◽  
Vol 22 (11) ◽  
pp. 1350079
Author(s):  
H. HOGREVE
Keyword(s):  
Perturbation Methods ◽  
Numerical Study ◽  
Three Dimensional ◽  
Spherically Symmetric ◽  
Rigorous Results ◽  
Resonance States ◽  
S Matrix ◽  
Symmetric Square ◽  
Square Well ◽  
Transition Scenario

The transition scenario between bound, virtual and resonance states is investigated for the Dirac and Schrödinger operator with a spherically symmetric square well potential of varying depth λ≥0. This includes rigorous results derived with the help of the Birman–Schwinger principle and perturbation methods, and a numerical study of the motion of the corresponding S-matrix poles as a function of λ by displaying the computed energy curves in the complex plane.

EXPERIMENTAL AND NUMERICAL STUDY OF THREE-DIMENSIONAL NATURAL CONVECTION AND FREEZING IN WATER

1994 ◽  
Author(s):  
C. Abegg ◽  
Graham de Vahl Davis ◽  
W.J. Hiller ◽  
St. Koch ◽  
Tomasz A. Kowalewski ◽  
...  
Keyword(s):  
Natural Convection ◽  
Numerical Study ◽  
Three Dimensional

Boundary element method in numerical study of three-dimensional Stokes flows in channels of arbitrary shape

2012 ◽  
Vol 9 (1) ◽  
pp. 94-97
Author(s):  
Yu.A. Itkulova
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Cross Section ◽  
Numerical Study ◽  
Three Dimensional ◽  
Cylindrical Tube ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Periodic Flows ◽  
Element Method

In the present work creeping three-dimensional flows of a viscous liquid in a cylindrical tube and a channel of variable cross-section are studied. A qualitative triangulation of the surface of a cylindrical tube, a smoothed and experimental channel of a variable cross section is constructed. The problem is solved numerically using boundary element method in several modifications for a periodic and non-periodic flows. The obtained numerical results are compared with the analytical solution for the Poiseuille flow.

scholarly journals A Numerical Study of Sub-Millisecond Integrated Mix-and-Inject Microfluidic Devices for Sample Delivery at Synchrotron and XFELs

2021 ◽  
Vol 11 (8) ◽  
pp. 3404
Author(s):  
Majid Hejazian ◽  
Eugeniu Balaur ◽  
Brian Abbey
Keyword(s):  
Molecular Dynamics ◽  
Flow Rate ◽  
Numerical Study ◽  
Three Dimensional ◽  
Microfluidic Devices ◽  
Liquid Jets ◽  
Mixing Efficiency ◽  
X Ray Diffraction ◽  
Cross Sectional ◽  
Time Required

Microfluidic devices which integrate both rapid mixing and liquid jetting for sample delivery are an emerging solution for studying molecular dynamics via X-ray diffraction. Here we use finite element modelling to investigate the efficiency and time-resolution achievable using microfluidic mixers within the parameter range required for producing stable liquid jets. Three-dimensional simulations, validated by experimental data, are used to determine the velocity and concentration distribution within these devices. The results show that by adopting a serpentine geometry, it is possible to induce chaotic mixing, which effectively reduces the time required to achieve a homogeneous mixture for sample delivery. Further, we investigate the effect of flow rate and the mixer microchannel size on the mixing efficiency and minimum time required for complete mixing of the two solutions whilst maintaining a stable jet. In general, we find that the smaller the cross-sectional area of the mixer microchannel, the shorter the time needed to achieve homogeneous mixing for a given flow rate. The results of these simulations will form the basis for optimised designs enabling the study of molecular dynamics occurring on millisecond timescales using integrated mix-and-inject microfluidic devices.

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