3D Ising Model Simulation

This project implements a three-dimensional (3D) Ising model with periodic boundary conditions and multiple Monte Carlo update methods. It includes unit tests and a basic simulated annealing script that measures the Binder cumulant as a function of temperature.

Features

• Ising Model:
  • 3D cubic lattice with periodic boundary conditions
  • Spin values ±1
• Monte Carlo Update Methods:
  • Metropolis
  • Heat Bath
  • Wolff Cluster Algorithm
• Observable Calculations:
  • Energy per spin
  • Magnetization per spin
  • Binder cumulant (with bootstrap resampling for error estimation)
• Example Simulation:
  • Simulated annealing sweep across a temperature range
  • Measurement of Binder cumulant and statistical uncertainty
• Unit Tests:
  • Lattice initialization
  • Periodic boundary conditions
  • Neighbor table validation
  • Energy and magnetization calculations
  • Monte Carlo updates
  • Copying model state

Requirements

• C++17 or later
• GSL (GNU Scientific Library)
• GoogleTest (for unit testing)

Building

This project uses CMake for configuration.

Build steps:

mkdir build
cd build
cmake ..
make

This will generate:

• simulatedAnnealing — the basic simulated annealing program
• IsingModelTest — the unit tests executable