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

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

2008-12-04

arxiv.org/abs/0812.0916v1

Phys. Rev. E 79, 036102 (2009)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.79.036102

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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