isingLenzMC

Monte Carlo for Classical Ising Model

Classical Ising Model is a land mark system in statistical physics.The model explains the physics of spin glasses and magnetic materials, and cooperative phenomenon in general, for example phase transitions and neural networks.This package provides utilities to simulate one dimensional Ising Model with Metropolis and Glauber Monte Carlo with single flip dynamics in periodic boundary conditions. Utility functions for exact solutions are provided. Such as transfer matrix for 1D. Utility functions for exact solutions are provided. Example use cases are as follows: Measuring effective ergodicity and power-laws in so called functional-diffusion. Example usage contains parallel runs, fitting power-laws, finite size scaling, computing autocorrelation, uncertainty analysis and plotting utilities.

README

# Effective ergodicity on the Ising model

This is an example application of the package. 
Measuring ergodicity rate for the one dimensional
ising Model. 

## Reproducing the dataset and plots. 

`run.R`             : Generate the data. 
`isingErgodicity.R` : Helper functions.  
`plotData.R`        : Plot using the data (double check the directory identifications for data and plots). 

## License. 

This project and all contributions are licensed under :
* All non-code  [![License: CC BY 4.0](https://i.creativecommons.org/l/by/4.0/88x31.png)](https://creativecommons.org/licenses/by/4.0/)
* Code under [![License: GPL v3](https://img.shields.io/badge/License-GPLv3-blue.svg)](https://www.gnu.org/licenses/gpl-3.0)

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