ising_model

# Ising model

Simple statistical model for phase transitions

The Ising model describes particles with 2 possibles states (spin up, spin down) sitting on a lattice. The interaction is by neighbors.

In dimension at least 2, there is a phase transition: at low temperatures, the spins tend to align (ferromagnetic behavior), whereas for high temperature, the distribution is chaotic.

## Material

A nice introduction is given here:

• Phase transition
• Potts model
• Mean field theory
• Landau-Ginzburg theory