Ising Model and Metropolis Algorithm

Learn how to use the Metropolis algorithm to simulate the Ising model of a ferromagnet in MATLAB.

This example integrates computation into a physics lesson on the Ising model of a ferromagnet. Exercises are included at the end. Students learn how to implement the Metropolis algorithm, write modular programs, plot physical relationships, run for-loops in parallel, and develop machine learning algorithms to classify phases and to predict the temperature of a 2D configuration of spins.
Note on required products:
MATLAB is the only required product to run the live script, although some of the exercises use Statistics and Machine Learning Toolbox, Parallel Computing Toolbox, and Neural Network Toolbox.