This is a simulation of the Ising Model of ferromagnetism. To learn more about the model and its uses, check out the wikipedia page here. In this simulation, the Metropolis algorithm is applied.
At the moment, this consists of two python programs:
- Rectangular2D.py - This does the heavy lifting of simulating a 2D lattice with up and down spins. The
simulatefunction in this file can be used to perform a single simulation with user defined parameters. For descriptions of the parameters, check the function description in the file. - MagnetizationDistribution.py - This can be used to perform many simulations to build up a distribution of what the resulting distribution of magnetizations looks like for a given set of parameter variations. The
__main__function utilizes themultiprocessingmodule to perform these simulations in parallel using the definedsimulateParallelfunction. An example of the output can be seen here.
- Python 2.x (tested 2.7.6)
At some point I hope to include more options including, but not limited to:
- Hexagonal Lattice
- 1D and 3D lattices
- Longer range interactions
- Cluster detection/Percolation checking
- Metastable state detection
- Walter Schwenger, wjs018@gmail.com