Tags: Monte Carlo

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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.

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Teaching Materials (21-24 of 24)

  1. Computational Nanoscience, Lecture 7: Monte Carlo Simulation Part I

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    Teaching Materials | 15 Feb 2008 | 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 relevant concepts in statistical mechanics is presented. Students will be introduced to the Metropolis...

  2. Computational Nanoscience, Lecture 8: Monte Carlo Simulation Part II

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    Teaching Materials | 14 Feb 2008 | 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 simulations of fullerene growth on spherical surfaces are presented. A discussion of meaningful...

  3. Computational Nanoscience, Lecture 4: Geometry Optimization and Seeing What You're Doing

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    Teaching Materials | 13 Feb 2008 | 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 importance of the starting guess and how to find or generate good initial structures. We also briefly...

  4. Homework for Monte Carlo Method: High field transport in Bulk Si

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    Teaching Materials | 06 Jan 2006 | 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 transport in bulk silicon.