Lattice Monte Carlo: Ising and Lattice-Gas Models

• Markov Processes, Ergodicity, and Detailed Balance
• Metropolis and Heat-Bath Monte Carlo
• Cluster Flips: the Wolff Algorithm
• Continuous Time and Kinetic Monte-Carlo: the Bortz-Kalos-Liebowitz Algorithm
• Nucleation and Coarsening: using Python for Scaling Collapses

• Lecture Notes
• Assignment #1 Code (should change Project Settings in Release mode to not use pre-compiled headers and to include both directories)
• Assignment #1 Executable
• The Wolff and BKL Continuous-Time Algorthims
• Assignment #2 Code
• Radio Buttons
• Solution Code
• Solution Executable
• Python Code
• How to SWIG your code
• Magnetization Observer
• Python Assignment #1
• Nucleation And Growth (no Python)
• Intel Math Kernal Library. Install for FFT's for correlation functions. You'll need to add a Project Settings - Link - Library Module from to the place where you've installed it (F:\"Program Files"\Intel\PLSuite\lib\Pentium.II\Intel\mkl_s.lib for us at Cornell Rockefeller B3).
• Correlation Functions and Coarsening
• Python Assignment #2

This software was developed in collaboration with Matthew Kuntz. It remains in draft form. You are welcome to try it out, or use it in educational settings: we retain copyright and will continue modifying the code without notice.

The Course

James P. Sethna, sethna@lassp.cornell.edu.

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).