Simple simulation of the 2D Ising model using a Monte Carlo simulation of the Metropolis algorithm

1. Install Rust first
2. git clone https://github.com/Fierthraix/ising-rs
3. cd ising-rs
4. cargo build --release
5. ./target/release/ising

• -i The number of iterations to run the program per diopole. As only one dipole is modified at a time the program will run iterations$\times$size$^2$.
• -s Change the size of the square grid
• -T Set the temperature in units of $\epsilon/k_B$
• -p Save png images using the given basename instead of printing unicode arrows
• -b Change the basename/pick a folder for saving png images
• -v Change the verbosity. When this flag is used once then iterations images will be printed. When called twice or more every single matrix state is printed (even ones with no change).

Make a 1000$\times$1000 grid iterate 100 times and save the evolution in /tmp/ising/

cargo run --release -- -p -b "/tmp/ising/run_1" -s 1000 -T 1.5 -v -i 100

The -p means we'll be saving png images, -b tells us to save the images in /tmp/ising and to use run_1 as the basename. This means that the first image will be run_1_1.5_00000000000000000000.png and the last will be run_1_1.5_00000000000010000000.png. The temperature is 1.5, the grid size is 100. The -v means we will print create 100 (-i 100) images. If we called -v twice there would be 100$\times$1000$^2$=100,000,000 images produced.