2D Ising MCMC

2D Ising Model simulation and analysis using Monte Carlo methods.

Project Structure

2d-ising-mcmc/
├── src/
│   └── ising_mcmc/
│       ├── __init__.py       # Package initialization and exports
│       ├── __main__.py       # Entry point for running tasks
│       ├── ising_model.py    # IsingModel class implementation
│       ├── clusters.py       # Cluster finding algorithm
│       └── tasks.py          # Task functions for analysis
├── pyproject.toml            # Project configuration
└── README.md

Installation

This project uses uv for package management. To install:

uv sync

Usage

Run all tasks:

uv run python -m ising_mcmc

Or use the console script:

uv run 2d-ising-mcmc

Use as a library:

from ising_mcmc import IsingModel, find_clusters

model = IsingModel(N=50, T=2.27)
model.run_mcmc(steps=10000)
clusters = find_clusters(model.config)

Tasks

• Task 2: Exploring MCMC parameters (acceptance rates, equilibration)
• Task 3: Statistical properties and critical temperature estimation
• Task 4: Cluster size analysis at different temperatures