Ising Model

Python code to simulate the Ising model of a Ferromagnet.

For a discussion of the theory, visit my blog post.

The initial conditions of the ising lattice can be specified by the tempature, initial state, and size parameters of the model.

Running the simulation will output a video of system as it changes through out the run steps.

Example

The --help command can show to possible parameters for modifying the simulation

$ python ising.py --help
Usage: ising.py [OPTIONS]

Options:
  -t, --temperature FLOAT    temperature of the system  [default: 0.5]
  -i, --initial-state [r|u]  (R)andom or (U)niform initial state of the system [default: r]
  -s, --size INTEGER         Number of sites, M, in the MxM lattice  [default: 100]
  -e, --epochs INTEGER       Number of iterations to run the simulation for [default: 1000000]
  --video                    Record a video of the simulation progression
  --help                     Show this message and exit.

For example:

$ python ising.py --temperature .8 --initial-state r --video

FAQ

If you get the error:

MovieWriter stderr:
dyld: Library not loaded: /usr/local/opt/x264/lib/libx264.152.dylib
  Referenced from: /usr/local/bin/ffmpeg
  Reason: image not found

Then you need to install ffmpeg

$ brew install ffmpeg