A simple Ising model simulator written in Rust

This project lets you simulate the d-dimensional Ising model in two modes:

• mcmc: Computes an approximation of the energy and magnetization distributions using an MCMC cluster algorithm as described in https://arxiv.org/abs/cond-mat/0311623. In 2D, it also plots the resulting lattice.
• exact (small lattices only): Iterates over all possible states using a Gray code algorithm and plots the exact energy and magnetization distributions.

Installation

• Download a prebuilt binary from the releases section.
• Or, build from sources using Cargo (see documentation).

Examples

2500x2500 lattice at critical temperature

ising --beta 0.4407 -n 2500 mcmc --iter 1000

Magnetization on a 10x10x10 lattice just below critical temperature

ising -d 3 --beta 0.24 -n 10 mcmc -i 50000

See here for more examples, use ising --help, ising mcmc --help, ising exact --help for help.