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arXiv · 0812.0916

Scaling of Clusters and Winding Angle Statistics of Iso-height Lines in two-dimensional KPZ Surface

A. A. Saberi·S. Rouhani
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Abstract

We investigate the statistics of Iso-height lines of (2+1)-dimensional Kardar-Parisi-Zhang model at different level sets around the mean height in the saturation regime. We find that the exponent describing the distribution of the height-cluster size behaves differently for level cuts above and below the mean height, while the fractal dimensions of the height-clusters and their perimeters remain unchanged. The winding angle statistics also confirms again the conformal invariance of these contour lines in the same universality class of self-avoiding random walks (SAWs).

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A. A. Saberi, S. Rouhani. 2008-12-04. Scaling of Clusters and Winding Angle Statistics of Iso-height Lines in two-dimensional KPZ Surface. https://doi.org/10.1103/physreve.79.036102

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