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Monte Carlo methods are a class of computational algorithms that rely on repeated random sampling to compute their results. Monte Carlo methods are often used in simulating physical and mathematical systems. Because of their reliance on repeated computation of random or pseudo-random numbers, these methods are most suited to calculation by a computer and tend to be used when it is unfeasible or impossible to compute an exact result with a deterministic algorithm.
Learn more about quantum dots from the many resources on this site, listed below. More information on Monte Carlo method can be found here.
Computational Nanoscience, Homework Assignment 4: Hard-Sphere Monte Carlo and Ising Model
5.0 out of 5 stars
05 Mar 2008 | Teaching Materials | Contributor(s): Elif Ertekin, Jeffrey C Grossman
In this assignment, you will explore the use of Monte Carlo techniques to look at (1) hard-sphere systems and (2) Ising model of the ferromagnetic-paramagnetic phase transition in two-dimensions. ...
Computational Nanoscience, Lecture 10: Brief Review, Kinetic Monte Carlo, and Random Numbers
25 Feb 2008 | Teaching Materials | Contributor(s): Elif Ertekin, Jeffrey C Grossman
We conclude our discussion of Monte Carlo methods with a brief review of the concepts covered in the three previous lectures. Then, the Kinetic Monte Carlo method is introduced, including...
Computational Nanoscience, Lecture 9: Hard-Sphere Monte Carlo In-Class Simulation
19 Feb 2008 | Teaching Materials | Contributor(s): Elif Ertekin, Jeffrey C Grossman
In this lecture we carry out simulations in-class, with guidance from the instructors. We use the HSMC tool (within the nanoHUB simulation toolkit for this course). The hard sphere system is one...
Computational Nanoscience, Lecture 7: Monte Carlo Simulation Part I
15 Feb 2008 | Teaching Materials | Contributor(s): Jeffrey C Grossman, Elif Ertekin
The purpose of this lecture is to introduce Monte Carlo methods as a form of stochastic simulation. Some introductory examples of Monte Carlo methods are given, and a basic introduction to...
Computational Nanoscience, Lecture 8: Monte Carlo Simulation Part II
14 Feb 2008 | Teaching Materials | Contributor(s): Elif Ertekin, Jeffrey C Grossman
In this lecture, we continue our discussion of Monte Carlo simulation. Examples from Hard Sphere Monte Carlo simulations based on the Metropolis algorithm and from Grand Canonical Monte Carlo...
4.0 out of 5 stars
04 Feb 2008 | Tools | Contributor(s): David Papke, Reza Toghraee, Umberto Ravaioli, Ankit Raj
Simulates ion flow through a channel.
Computational Nanoscience, Lecture 4: Geometry Optimization and Seeing What You're Doing
13 Feb 2008 | Teaching Materials | Contributor(s): Jeffrey C Grossman, Elif Ertekin
In this lecture, we discuss various methods for finding the ground state structure of a given system by minimizing its energy. Derivative and non-derivative methods are discussed, as well as the...
MIT Atomic Scale Modeling Toolkit
15 Jan 2008 | Tools | Contributor(s): daniel richards, Elif Ertekin, Jeffrey C Grossman, David Strubbe, Justin Riley
Tools for Atomic Scale Modeling
QWalk Quantum Monte Carlo Tutorial
15 Jun 2007 | Tools | Contributor(s): Lucas Wagner, Jeffrey C Grossman, Jeffrey B. Neaton, Ian Michael Rousseau
An accurate method to calculate the many body ground state of electrons
Illinois Tools: MOCA
28 Mar 2007 | Tools | Contributor(s): Mohamed Mohamed, Umberto Ravaioli, Nahil Sobh, derrick kearney
A 2D Full-band Monte Carlo (MOCA) Simulation of SOI Device Structures
13 Mar 2006 | Tools | Contributor(s): Shaikh S. Ahmed, Dragica Vasileska
Quantum-corrected Monte-Carlo transport simulator for two-dimensional MOSFET devices.
Materials Science on the Atomic Scale with the 3-D Atom Probe
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08 Nov 2006 | Online Presentations | Contributor(s): George D. W. Smith
Some of the key goals of materials science and technology are to be able to design a material from first principles, to predict its behaviour, and also to optimise the processing route for its...
31 Oct 2006 | Tools | Contributor(s): M. E. Klausmeier-Brown, C. M. Maziar, P. E. Dodd, M. A. Stettler, Xufeng Wang, Gerhard Klimeck
Improved program consists of DEMON and SDEMON
Homework for Monte Carlo Method: High field transport in Bulk Si
06 Jan 2006 | Teaching Materials | Contributor(s): Muhammad A. Alam
This homework assignment is part of ECE 656 "Electronic Transport in Semiconductors" (Purdue University). It contains 10 problems which lead students through the simulation of high-field...
Review of Several Quantum Solvers and Applications
11 Jun 2004 | Online Presentations | Contributor(s): Umberto Ravaioli
IWCE 2004 Held at Purdue
24 Oct 2004 | Workshops
IEEE and NCN sponsored the 10th International Workshop of Computational Electronics at Purdue, October 24-27, with the theme "The field of Computational Electronics - Looking back and looking ahead."