Statistical Dependence and Related Topics
| dc.creator | Kikuchi, Macoto | |
| dc.creator | Ito, Nobuyasu | |
| dc.creator | Okabe, Yutaka | |
| dc.date | 1994-04-21 | |
| dc.date.accessioned | 2026-07-07T03:07:13Z | |
| dc.date.available | 2026-07-07T03:07:13Z | |
| dc.description | 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} $τ_{dep}$, 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 $τ_{dep}$, 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. | |
| dc.description | kikuchi@godzilla.kek.jp; LaTeX, 9 pages, 6 figures; to appear in "Computer Simulations in Condensed Matter Physics VII", ed. D.P. Landau, K.K. Mon and H.B. Schüttler (Springer) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9404066 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9404066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27092 | |
| dc.subject | Condensed Matter | |
| dc.title | Statistical Dependence and Related Topics | |
| dc.type | text |