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Statistical Dependence and Related Topics | | Macoto Kikuchi
; Nobuyasu Ito
; Yutaka Okabe
; | | Date: |
21 Apr 1994 | | Abstract: | On the basis of the dynamical interpretation of Monte Carlo simulations, we discuss the relation of the equilibrium relaxation time, the susceptibility and the statistical error. We introduce a new quantity called {it the statistical dependence time} $ au_{dep}$, which gives the reduction factor for the statistical degree of freedom due to the dynamical correlations between the data. A new method is proposed for calculating equilibrium relaxation time using $ au_{dep}$, the method which does not require knowledge of any time-displaced correlation function. We apply this method to the critical dynamics of Ising models in two and three dimensions, and estimate the dynamical critical exponent $z$ precisely. Systematic errors in response functions due to short simulations are also discussed from the viewpoint of the statistical dependence. | | Source: | arXiv, cond-mat/9404066 | | Services: | Forum | Review | PDF | Favorites | |
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