Theory of the electron‐plasmon interaction in Monte Carlo calculations through the direct solution of the Poisson equation

1992 ◽  
Vol 72 (11) ◽  
pp. 5277-5282 ◽  
Author(s):  
Nabil S. Mansour ◽  
Steven H. Janzou ◽  
Kevin F. Brennan
Keyword(s):  
Monte Carlo ◽  
Poisson Equation ◽  
Direct Solution ◽  
Monte Carlo Calculations ◽  
The Poisson Equation ◽  
Plasmon Interaction

scholarly journals Output Characteristics of Graphene Field Effect Transistors

2020 ◽  
Vol 11 (4) ◽  
pp. 298-304
Author(s):  
V. N. Mishchenka
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Poisson Equation ◽  
Field Effect ◽  
Graphene Layer ◽  
Field Effect Transistors ◽  
Semiconductor Structures ◽  
The Poisson Equation ◽  
The Monte Carlo Method ◽  
Output Characteristics

The use of graphene, which has high mobility of charge carriers, high thermal conductivity and a number of other positive properties, is promising for the creation of new semiconductor devices with good output characteristics. The aim was to simulate the output characteristics of field effect transistors containing graphene using the Monte-Carlo method and the Poisson equation.Two semiconductor structures in which a single layer (or monolayer) of graphene is placed on a substrate formed from 6H-SiC silicon carbide material are considered. The peculiarity of the first of them is that the contact areas of drain and source were completely located on the graphene layer, the length of which along the longitudinal coordinate was equal to the length of the substrate. The second structure differed in that the length of the graphene layer was shortened and the drain and source areas were partly located on the graphene layer and partly on the substrate.The main output characteristics of field-effect transistors based on the two semiconductor structures considered were obtained by modeling. The modeling was performed using the statistical Monte Carlo method. To perform the simulation, a computational algorithm was developed and a program of numerical simulation using the Monte-Carlo method in three-dimensional space using the Poisson equation was compiled and debugged.The results of the studies show that the development of field-effect transistors using graphene layers can improve the output characteristics – to increase the output current and transconductance, as well as the limit frequency of semiconductor structures in high frequency ranges.

Some lattice-based scientific problems, expressed in Haskell

1996 ◽  
Vol 6 (3) ◽  
pp. 419-444
Author(s):  
D. B. Carpenter ◽  
H. Glaser
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Poisson Equation ◽  
Particle Physics ◽  
Language Evolution ◽  
Theoretical Models ◽  
Functional Language ◽  
The Poisson Equation ◽  
Grid Topology ◽  
Grid Based

AbstractThe paper explores the application of a lazy functional language, Haskell, to a series of grid-based scientific problems—solution of the Poisson equation, and Monte Carlo simulation of two theoretical models from statistical and particle physics. The implementations introduce certain abstractions of grid topology, making extensive use of the polymorphic features of Haskell. Updating is expressed naturally through use of infinite lists, exploiting the laziness of the language. Evolution of systems is represented by arrays of interacting streams.

Solvability of one nonlocal Dirichlet problem for the Poisson equation

2019 ◽  
Vol 50 (1) ◽  
pp. 67-88
Author(s):  
Batirkhan Turmetov ◽  
Valery Karachik
Keyword(s):  
Dirichlet Problem ◽  
Poisson Equation ◽  
The Poisson Equation
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