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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
ising_model.txt · Last modified: 2022/07/30 15:56 by alex_th