https://github.com/wjs018/isingmodel

A python implementation of the Metropolis algorithm for the Ising Model.
https://github.com/wjs018/isingmodel

Last synced: about 1 month ago
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A python implementation of the Metropolis algorithm for the Ising Model.

• Host: GitHub
• URL: https://github.com/wjs018/isingmodel
• Owner: wjs018
• License: mit
• Created: 2016-01-14T04:46:02.000Z (almost 9 years ago)
• Default Branch: master
• Last Pushed: 2018-10-25T16:24:38.000Z (about 6 years ago)
• Last Synced: 2024-10-16T05:46:18.906Z (3 months ago)
• Language: Python
• Size: 6.84 KB
• Stars: 0
• Watchers: 2
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# IsingModel

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](https://en.wikipedia.org/wiki/Ising_model). In this simulation, the Metropolis algorithm is applied.

At the moment, this consists of two python programs:

1. Rectangular2D.py - This does the heavy lifting of simulating a 2D lattice with up and down spins. The `simulate` function 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.

2. 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 the `multiprocessing` module to perform these simulations in parallel using the defined `simulateParallel` function. An example of the output can be seen [here](http://i.imgur.com/b6e4LjU.png).

## Dependencies

* Python 2.x (tested 2.7.6)

## Future Work

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

## Contact

* Walter Schwenger, [email protected]