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arXiv · 1105.2974

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

Indrek Mandre·Jaan Kalda
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Abstract

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. The results confirm the conjectures of earlier studies.

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Indrek Mandre, Jaan Kalda. 2011-05-15. Monte-Carlo study of scaling exponents of rough surfaces and correlated percolation. https://doi.org/10.1140/epjb/e2011-20386-4

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