Title: Investigations into the characteristics and influences of nonequilibrium evolution

Abstract: Using the three dimensional (3D) Ising model with Metropolis algorithm, we simulate the evolution from nonequilibrium to equilibrium on the phase boundary. To quantify the relaxation time of different processes, the average relaxation time is introduced. It is shown that the average relaxation time is related to system size, temperature and initial configuration. The first four cumulants of order parameter during the nonequilibrium evolution are presented. The first cumulant approaches exponentially to its equilibrium value, consistent with Langevin dynamics. The third and the forth cumulants could be either positive or negative, depending on the observation time, consistent with dynamical models at T > Tc. It is found that the nonequilibrium evolution at T > Tc lasts much shorter, and the influence is much weaker in comparison with that at T < Tc.