Statistical Dependence Time and Its Application to Dynamical Critical Exponent

抄録

A new method for studying dynamical correlation of temporal sequence is proposed. We introduce a new quantity named statistical dependence time τ_dep as an estimator for the equilibrium relaxation time. The calculation of τ_dep does not require calculation of any time-displaced correlation function nor numerical fitting in extracting the relaxation time; as a result, the estimation of τ_dep and statistical analysis such as the error estimation are quite straightforward and simple. We apply this method to the critical dynamics of 3D Ising model, and estimate the dynamical critical exponent z as 2.030±0.004, provided K_c=0.221654 (if possible error in K_c is taken into account, the error in z becomes 0.01).