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 --videoFAQ
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 foundThen you need to install ffmpeg
$ brew install ffmpeg