Monte-Carlo study of scaling exponents of rough surfaces and correlated percolation

被引：0
|
作者：
I. Mandre
J. Kalda
机构：
[1] Institute of Cybernetics at Tallinn University of Technology,
来源：
The European Physical Journal B | 2011年 / 83卷
关键词：
Hull; Fractal Dimension; Universality Class; Hurst Exponent; Percolation Model;
D O I：
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摘要：
We calculate the scaling exponents of the two-dimensional correlated percolation cluster’s hull and unscreened perimeter. Correlations are introduced through an underlying correlated random potential, which is used to define the state of bonds of a two-dimensional bond percolation model. Monte-Carlo simulations are run and the values of the scaling exponents are determined as functions of the Hurst exponent H in the range −0.75 ≤H≤ 1. These results are required by a range of applications (e.g. two-dimensional turbulent transport), for which the scaling exponents are expressed via the hull’s fractal dimension.
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