Idealised models
Lattice models
- Barker-Fock model
- Blume-Emery-Griffiths model (including the Blume-Capel model)
- Bond fluctuation model
- Hard hexagon lattice model
- Hard square lattice model
- Henriques and Barbosa model
- Kagomé-lattice eight-vertex model
- Lattice gas
- Lattice hard spheres
- Lebwohl-Lasher model
- Potts model
- Roberts and Debenedetti model
- RP(n-1) model
- N-vector model:
- Self-avoiding walk model (n=0)
- Ising Models (n=1)
- XY model (n=2)
- Heisenberg model (n=3)
- Toda lattice
- Triangular lattice ramp model
Recommended reading
- Rodney J. Baxter "Exactly Solved Models in Statistical Mechanics", Academic Press (1982) ISBN 0120831821 (freely available pdf of book)
'Hard' models
- Hard core Yukawa
- Hard ellipsoid model
- 1-dimensional hard rods
- 3-dimensional hard rods
- Hard pentagon model
- Hard sphere
- Hard disks (in a two dimensional space)
- Hard disks in a three dimensional space (including hard-cut spheres)
- Hard hyperspheres
- Dipolar hard spheres
- Hard spherocylinders
- Parallel hard cubes
- Sutherland potential
- Widom-Rowlinson model
Multi-site models
- Hard dumbbell model
- Branched hard sphere chains
- Flexible hard sphere chains (also known as the pearl-necklace model)
- Fused hard sphere chains
- Tangent linear hard sphere chains
Piecewise continuous models
- Buldyrev and Stanley model
- Hemmer and Stell model
- Hertzian sphere model
- Penetrable sphere model
- Penetrable square well model
- Ramp model (also known as the Jagla model)
- Square well model
- Square well lines potential
- Square well spherocylinders
- Soft-core square well model
- Square shoulder model
- Square shoulder + square well model
- Triangular well model
'Soft' models
- Born-Huggins-Meyer potential
- Buckingham potential
- Continuous shouldered well model
- Durian foam bubble model
- Flexible molecules (intramolecular interactions)
- Fomin potential
- Gaussian overlap model (including the Gaussian core model)
- Gay-Berne model
- Intermolecular Interactions
- Kihara potential
- Lennard-Jones model:
- Lennard-Jones model in 1-dimension (rods)
- Lennard-Jones model in 2-dimensions (disks)
- Lennard-Jones model in 3-dimensions ('standard' model)
- Lennard-Jones model in 4-dimensions
- Lennard-Jones sticks
- n-6 Lennard-Jones potential
- 8-6 Lennard-Jones potential
- 9-3 Lennard-Jones potential
- 9-6 Lennard-Jones potential
- 10-4-3 Lennard-Jones potential
- Stockmayer potential
- Two center Lennard-Jones model
- Mie potential
- Morse potential
- Patchy particles
- United-atom model
- Single site anisotropic soft-core potential
- Soft sphere potential
Charged or polar models
- Coulomb's law
- Charged hard dumbbells
- Charged hard spherocylinders
- Dipolar hard spheres
- Keesom potential
- Quadrupolar hard spheres
- Restricted primitive model
- Shell model
- Stockmayer potential
Three-body potentials
- Many-body interactions - a general discussion page.
- Axilrod-Teller interaction