1. Center for Simulational Physics, Department of Physics and Astronomy, University of Georgia, Athens, Georgia 30602, USA
;2. Department of Applied Physics, Shanghai Jiao Tong
University, Shanghai 200030, China
Abstract:
The time evolution of the Hamming distance (damage spreading) for the S=1/2 and S=1 Ising models on the square
lattice is performed with a special metropolis dynamics algorithm. Two
distinct regimes are observed according to the temperature range for
both models: a low-temperature one where the distance in the
long-time limit is finite and seems not to depend on the initial
distance and the system size; a high-temperature one where the
distance vanishes in the long-time limit. Using the finite size
scaling method, the dynamical phase transition (damage spreading
transition) temperature is obtained as Tc≌1.675±0.025 for
the S=1 Ising model.