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

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dc.creatorSaberi, A. A.
dc.creatorRouhani, S.
dc.date2008-12-04
dc.date.accessioned2026-07-07T12:54:40Z
dc.date.available2026-07-07T12:54:40Z
dc.descriptionWe 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).
dc.description5 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0812.0916
dc.identifierhttp://arxiv.org/abs/0812.0916
dc.identifierPhys. Rev. E 79, 036102 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.036102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224012
dc.subjectStatistical Mechanics
dc.titleScaling of Clusters and Winding Angle Statistics of Iso-height Lines in two-dimensional KPZ Surface
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