The ordering kinetics of ising spins on the honeycomb lattice

We investigate the coarsening dynamics of the Ising model on the honeycomb lattice by Monte Carlo simulation. Although the domain growth law and the persistence exponent at nonzero finite temperature are consistent with the known values of the two-dimensional (2D) Ising model on the square lattice, the nonequilibrium relaxation behavior of this model however shows the interesting and different relaxation properties of two-step relaxation due to the pinning effect and the slow activation process at a low temperature. Multispin heat bath dynamics is used to remove such a pinning effect, which results in the same relaxation behavior of the 2D Ising model as on the square lattice.