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.
Multi-walled/Single-walled Carbon Nanotube (MWCNT/SWCNT) Interconnect Lumped Compact Model Considering Defects, Contact resistance and Doping impact
11 Jul 2018 | Compact Models | Contributor(s):
By Rongmei Chen1, Jie LIANG1, Jaehyun Lee2, Vihar Georgiev2, Aida Todri1
1. CNRS 2. University of Glasgow
In this project, we present SWCNT and MWCNT interconnect compact models. These models consider the impact of CNT defects, the chirality and contact resistance between CNT-electrode (Pd) on CNT...
Novel EM Nanoscale Techniques
27 Nov 2017 | | Contributor(s):: Brian Demczyk
Describes unconventional use of conventional techniques (SAD,CBED, HREM and Fourier analysis) to elucidate hard-to-access structural information at the nano scale.
16 Nov 2016 | | Contributor(s):: Derek Juba, Debra Audus, Michael Mascagni, Jack Douglas, Walid Keyrouz
Calculation of hydrodynamic, electrical, and shape properties of polymer and particle suspensions
Memory-Efficient Particle Annihilation Algorithm for Wigner Monte Carlo Simulations
10 Feb 2016 | | Contributor(s):: Paul Ellinghaus
IWCE 2015 presentation. The Wigner Monte Carlo solver, using the signed-particle method, is based on the generation and annihilation of numerical particles. The memory demands of the annihilation algorithm can become exorbitant, if a high spatial resolution is used, because the entire discretized...
High Dimensional Uncertainty Quantification via Multilevel Monte Carlo
02 Feb 2016 | | Contributor(s):: Hillary Fairbanks
Multilevel Monte Carlo (MLMC) has been shown to be a cost effective way to compute moments of desired quantities of interest in stochastic partial differential equations when the uncertainty in the data is high-dimensional. In this talk, we investigate the improved performance of MLMC versus...
Multilevel Markov Chain Monte Carlo for Uncertainty Quantification in Subsurface Flow
02 Feb 2016 | | Contributor(s):: Christian Ketelsen
The multilevel Monte Carlo method has been shown to be an effective variance reduction technique for quantifying uncertainty in subsurface flow simulations when the random conductivity field can be represented by a simple prior distribution. In state-of-the-art subsurface simulation the...
Study of the Interface Roughness Models using 3D Finite Element Schrödinger Equation Corrected Monte Carlo Simulator on Nanoscaled FinFET
16 Dec 2015 | | Contributor(s):: Daniel Nagy, Muhammad Ali A. Elmessary, Manuel Aldegunde, Karol Kalna
IWCE 2015 presentation. Interface roughness scattering (IRS) is one of the key limiting scattering mechanism for both planar and non-planar CMOS devices. To predict the performance of future scaled devices and new structures the quantum mechanical confinement based IRS models are essential....
Sensitivity Analysis of Multiscale Reaction Networks with Stochastic Averaging
21 Jan 2016 | | Contributor(s):: Araz Ryan Hashemi
We shall show how stochastic averaging may be employed to speed computations and obtain estimates of mean values and sensitivities with respect to the steady state distribution. Further, we shall establish bounds which show the bias induced by the averaging method decays to zero as the disparity...
Anisotropic Schrödinger Equation Quantum Corrections for 3D Monte Carlo Simulations of Nanoscale Multigate Transistors
16 Dec 2015 | | Contributor(s):: Karol Kalna, Muhammad Ali A. Elmessary, Daniel Nagy, Manuel Aldegunde
IWCE 2015 presentation. We incorporated anisotropic 2D Schrodinger equation based quantum corrections (SEQC) that depends on valley orientation into a 3D Finite Element (FE) Monte Carlo (MC) simulation toolbox. The MC toolbox was tested against experimental ID-VG characteristics of the 22 nm gate...
Atomistic Modeling: Past, Present, and Future, MGI, ICME, etc.
03 Nov 2015 | | Contributor(s):: Paul Saxe
I will present a perspective on atomistic modeling — tools using quantum methods such as DFT, as well as molecular dynamics and Monte Carlo methods based on forcefields — over the past 30 years or so. While we are all caught up in the present, it is important to remember and realize...
Lecture 3: The Wigner Monte Carlo Method for Density Functional Theory
15 Nov 2014 | | Contributor(s):: Jean Michel D Sellier
In this lecture, Dr. Sellier discusses the Wigner Monte Carlo method in the framework of density functional theory (DFT).
kinetic Monte Carlo Simulations (kMC)
25 Mar 2014 | | Contributor(s):: Jingyuan Liang, R. Edwin García, Ding-Wen Chung
kMC is a set of scientific libraries designed to deploy kinetic Monte Carlo simulations (kMC). kMC allows the user to intuitively generate single component crystal lattices to simulate, post process, and visualize the kinetic Monte Carlo-based dynamics of materials.Philosophically, kMC was...
Carbon Nanotube Electronics: Modeling, Physics, and Applications
27 Jun 2013 | | Contributor(s):: Jing Guo
In recent years, significant progress in understanding the physics of carbon nanotube electronic devices and in identifying potential applications has occurred. In a nanotube, low bias transport can be nearly ballistic across distances of several hundred nanometers. Deposition of high-k gate...
[Illinois] Molecular and Multiscale Simulation Summer School
08 May 2013 | | Contributor(s):: NanoBio Node
This Summer School will train students in molecular simulation and simulation at multiple time and length scales. Instruction will be provided on quantum Monte Carlo simulation, molecular dynamics, coarse-grained simulations, and multiscale simulations with opportunities for hands-on experience...
Exciton Dynamics Simulator
31 Dec 2012 | | Contributor(s):: Michael Heiber
Simulates the exciton dynamics in organic photovolatic devices
ECE 695A Lecture 14a: Voltage Dependent HCI I
18 Feb 2013 | | Contributor(s):: Muhammad Alam
Outline:Background and Empirical ObservationsTheory of Hot Carriers: Hydrodynamic ModelTheory of Hot Carriers: Monte Carlo ModelTheory of Hot Carriers: Universal ScalingConclusionAppendices
ECE 695A Lecture 14b: Voltage Dependent HCI II
[Illinois] Coarse-grained Simulation of Ion Channels
29 Dec 2012 | | Contributor(s):: Umberto Ravaioli
[Illinois] CSE Seminar Series: Advances in First-principles Computational Materials Science
20 Nov 2012 | | Contributor(s):: Elif Ertekin
Title: Advances in first-principles computational materials science Subtitle: Things we can calculate now, that we couldn't when I was in grad school. The capability to rationally design new materials with tailored properties and functionality on a computer remains a grand challenge whose...