A dynamic phase diagram of the planar Ising antiferromagnet

The cellular automata technique is used to investigate metastable magnetic structures of a square lattice of spins with an Ising antiferromagnetic interaction between nearest and next-nearest neighbours. A dynamic phase diagram is introduced, where an evolution rule is ascribed to each set of values of the Hamiltonian parameters. This diagram also includes a dynamic spin-glass state, formed by instabilities of the magnetic structure.