Universality classes

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name
3-state Potts
Ashkin-Teller
Chiral
Directed percolation
Ising
Local linear interface
Mean-field
Molecular beam epitaxy
Random-field

3-state Potts

Ashkin-Teller

Chiral

Directed percolation

Ising

The Hamiltonian of the Ising model is


where and the summation runs over the lattice sites.

The order parameter is

In two dimensions, Onsager obtained the exact solution in the absence of a external field, and the critical exponents are (In fact, the specific heat diverges logarithmically with the critical temperature)

Local linear interface

Mean-field

Molecular beam epitaxy

See also

Random-field