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.

scholarly journals C-beta energy converter efficiency modeling

2019 ◽  
Vol 222 ◽  
pp. 02012
Author(s):  
Oleg Kuznetsov ◽  
Viktor Chepurnov ◽  
Albina Gurskaya ◽  
Mikhail Dolgopolov ◽  
Sali Radzhapov
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Theoretical Models ◽  
Maximum Efficiency ◽  
Equivalent Circuits ◽  
Optimal Parameters ◽  
Energy Converter ◽  
Electron Hole ◽  
The Monte Carlo Method

To construct beta converters with maximum efficiency it is necessary to carry out the theoretical calculation in order to determine their optimal parameters - the geometry of the structure, the thickness of the deposition of the radioisotope layer, the depth and the width of the p-n junction, and others. To date, many different theoretical models and calculations methods had been proposed. There are fairly simple theoretical models based on the Bethe-Bloch formula and the calculation of the rate of generation of electron-hole pairs, and on calculations by equivalent circuits. Also, the Monte-Carlo method is used for theoretical modeling of beta converters. This paper explores beta converter optimization using the Monte-Carlo method. The purpose of the study is to conduct Monte-Carlo simulation of the beta converter to determine its optimal parameters.

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.

scholarly journals The Monte Carlo Simulation Coupled with Poisson Equation Applied to the Study of a Diode base of Hg0.8Cd0.2Te

2013 ◽  
Vol 36 ◽  
pp. 50-56
Author(s):  
H. Moughli ◽  
A. Belghachi ◽  
A. Bouida ◽  
A. Hasni ◽  
L. Varani
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Poisson Equation

scholarly journals Monte Carlo simulation for a gas of hard spheres in d-dimensional space: Equilibrium structure and state equations

2019 ◽  
Vol 65 (2 Jul-Dec) ◽  
pp. 206
Author(s):  
J.M. Borjas-Mayorga ◽  
M.E. Grimaldo-Reyna ◽  
F.J. Almaguer-Martínez ◽  
And O. González-Amezcua ◽  
And J. R. Cantú-González
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Hard Spheres ◽  
Dimensional Space ◽  
Computing Time ◽  
Theoretical Models ◽  
Equilibrium Structure ◽  
State Equations ◽  
Five Dimensions ◽  
Reasonable Computing

In this work, we emphasize that it is possible using a personal computer to perform a MonteCarlo simulations in a reasonable computing time, and find the equilibrium structure of a hardsphere gas for a Euclidean multi-dimensional spaces. We study the properties of equilibrium and determine the equation of state of gas of hard spheres in Euclidean spaces from two to seven dimensions. The results show that the pressure is in agreement with different theoretical models based on virial expansion in spaces from two to five dimensions, also our results are extended for seven dimensions. As expected, it was found that the system of hard spheres loses its structure and the pressure of the system decreases when the dimension of the space increases.

scholarly journals Effect of Interaction Energies on the Adsorption of Glycine onto a Cu(110) Surface: A Monte Carlo Simulation

2009 ◽  
Vol 27 (7) ◽  
pp. 633-642 ◽  
Author(s):  
R.O. Uñac ◽  
A.M. Vidales ◽  
G. Zgrablich
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Large Degree ◽  
Theoretical Models ◽  
Surface Pattern ◽  
Interaction Energies ◽  
Irreversible Adsorption ◽  
Pattern Structures ◽  
Diffusion Rates ◽  
And Diffusion

The purpose of the present work was to study the effect of the adsorbate–adsorbate interaction energy for the glycine/Cu(110) system using a Monte Carlo simulation in the grand canonical ensemble. The dependence of the surface pattern structures upon the temperature and diffusion rate was studied. For either reversible or irreversible adsorption, the results showed that it is possible to obtain condensed phases with a large degree of correlation for high diffusion rates and temperatures. Depending on the set of interaction energies for nearest- and next-nearest-neighbour molecules, these patterns form either hetero- or homo-chiral footprint domains. The results obtained are qualitatively consistent with the experimental pattern observed by other authors and allow an interpretation of the different proposed theoretical models used to explain experimental data.

Sign in / Sign up

Export Citation Format

Share Document