Short-time Monte Carlo study on the phase transition of a ferromagnetic polymer chain model

Short-time dynamic scaling analysis method is applied to investigate the phase transition of a ferromagnetic Ising chain model on the simple cubic lattice. The phase transition temperature Tc is determined from the time evolutions of magnetization M(t) and square magnetization M2(t) at temperatures near Tc. The resulted Tc is consistent with that obtained from the annealing Monte Carlo method. The short-time dynamic behaviors of magnetizations near the transition temperature are also studied. We find both M(t) and M2(t) show power law decay near Tc after a very short time period τmic≈100 Monte Carlo steps.