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 the statistical dependence time Tdep, 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 Tdep, 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.
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References
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© 1994 Springer-Verlag Berlin Heidelberg
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Kikuchi, M., Ito, N., Okabe, Y. (1994). Statistical Dependence and Related Topics. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VII. Springer Proceedings in Physics, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79293-9_5
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DOI: https://doi.org/10.1007/978-3-642-79293-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79295-3
Online ISBN: 978-3-642-79293-9
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