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You are here: ResourcesCoursesIllinois MatSE485/Phys466/CSE485 - Atomic-Scale …About

Illinois MatSE485/Phys466/CSE485 - Atomic-Scale Simulation

By David M. Ceperley

University of Illinois at Urbana-Champaign

THE OBJECTIVE is to learn and apply fundamental techniques used in (primarily classical) simulations in order to help understand and predict properties of microscopic systems in materials science, physics, chemistry, and biology. THE EMPHASIS …

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Abstract

THE OBJECTIVE is to learn and apply fundamental techniques used in (primarily classical) simulations in order to help understand and predict properties of microscopic systems in materials science, physics, chemistry, and biology.

  • THE EMPHASIS will be on connections between the simulation results and real properties of materials (structural or thermodynamic quantities), as well as numerical algorithms and systematic and statistical error estimations
  • FOR WHOM? This class is oriented for the first-year graduate or advanced undergraduate. It connects atomistics to observable, rather than investigates, e.g., cellular automata type approaches, and introduces all necessary concepts. A course project is required, rather than a final exam (see Teams and Projects in navigator bar).
  • Methods and Applications:
  • Molecular Dynamics: integration algorithms, static and dynamic correlations functions and their connection to order and transport
  • Monte Carlo and Random Walks: variance reduction, Metropolis algorithms, Kinetic Monte Carlo, heat diffusion, Brownian motion, etc
  • Phase Transitions: melting-freezing, calculating free energies
  • Polymers: growth and equilibrium structure
  • Quantum Simulation: zero temperature and finite temperature methods
  • Optimization techniques such as simulated annealing
Cite this work

Researchers should cite this work as follows:

  • David M. Ceperley (2009), "Illinois MatSE485/Phys466/CSE485 - Atomic-Scale Simulation," http://nanohub.org/resources/6164.

    BibTex | EndNote

Tags
  1. atomic simulation
  2. course lecture
  3. CSE
  4. hosted/produced by NCN@Illinois
  5. Illinois
  6. material properties
  7. material science
  8. materials
  9. MATSE
  10. nanobio applications
  11. PHYS
  12. Physics

Supporting Documents

[ none ]

Lecture Number/Topic Breeze Video Lecture Notes (PDF) Supplemental Material Suggested Exercises
Illinois PHYS 466, Lecture 1: Introduction
Introduction to Simulation Content: Why do simulations? Moore's law Two Simulation Modes Dirac, 1929 Challenges of Simulation: Physical and mathematical underpinnings …
View
Illinois PHYS 466, Lecture 3: Basics of Statistical Mechanics
Basics of Statistical Mechanics Review of ensembles Microcanonical, canonical, Maxwell-Boltzmann Constant pressure, temperature, volume,… Thermodynamic limit Ergodicity …
View
Illinois PHYS 466, Lecture 4: Molecular Dynamics
Molecular Dynamics What to choose in an integrator The Verlet algorithm Boundary Conditions in Space and time Reading assignment: Frenkel and Smit Chapter 4 Content: …
View
Illinois PHYS 466, Lecture 5: Interatomic Potentials
Interatomic Potentials Before we can start a simulation, we need the model! Interaction between atoms and molecules is determined by quantum mechanics But we don’t know …
View
Illinois PHYS 466, Lecture 6: Scalar Properties and Static Correlations
Scalar Properties, Static Correlations and Order Parameters What do we get out of a simulation? Static properties: pressure, specific heat, etc. Density Pair correlations in real space and …
View
Illinois PHYS 466, Lecture 7: Dynamical Correlations & Transport Coefficients
Dynamical correlations and transport coefficients Dynamics is why we do molecular dynamics! Perturbation theory Linear-response theory Diffusion constants, velocity-velocity auto correlation …
View
Illinois PHYS 466, Lecture 8: Temperature and Pressure Controls
Temperature and Pressure Controls Content: Constant Temperature MD Quench method Brownian dynamics/Anderson thermostat Nose-Hoover thermostat (FS 6.1.2) Nose-Hoover thermodynamics …
View
Illinois PHYS 466, Lecture 9: Probability tools & Random number generators
Random Number Generation (RNG) read “Numerical Recipes” on random numbers and chi-squared test Today we discuss how to generate and test random numbers. What is a random number? A single …
View
Illinois PHYS 466, Lecture 10: Sampling
Fundamentals of Monte Carlo What is Monte Carlo? Named at Los Alamos in 1940’s after the casino. Any method which uses (pseudo)random numbers> as an essential part of the algorithm. …
View
Illinois PHYS 466, Lecture 11: Importance Sampling
Importance sampling Today We will talk about the third option: Importance sampling and correlated sampling Content: Importance Sampling Finding Optimal p*(x) for Sampling Example of …
View
Illinois PHYS 466, Lecture 12: Random Walks
Random Walks Today we will discuss Markov chains (random walks), detailed balance and transition rules. These methods were introduced by Metropolis et al. in 1953 who applied it to a hard …
View
Illinois PHYS 466, Lecture 13: Brownian Dynamics
Brownian Dynamics Let’s explore the connection between Brownian motion and Metropolis Monte Carlo. Why? Connection with smart MC Introduce the idea of kinetic Monte Carlo Get rid of …
View
Illinois PHYS 466, Lecture 14: Neighbor Tables, Long-Range Potentials, Ewald Sums View
Illinois PHYS 466, Lecture 15: Constraints View
Illinois PHYS 466, Lecture 16: Free Energies from Simulations View
Illinois PHYS 466, Lecture 17: Simulation of Polymers View
Illinois PHYS 466, Lecture 18: Kinetic Monte Carlo (KMC) View
Illinois PHYS 466, Lecture 19: The Ising Model View

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