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

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

2011-05-15

arxiv.org/abs/1105.2974v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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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