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- W2017665468 abstract "Equilibrium and non-equilibrium growth phenomena, e.g., surface growth, generically yields self-affine distributions. Analysis of statistical properties of these distributions appears essential in understanding statistical mechanics of underlying phenomena. Here, we analyze scaling properties of the cumulative distribution of iso-height loops (i.e., contour lines) of rough self-affine surfaces in terms of loop area and system size. Inspired by the Coulomb gas methods, we find the generating function of the area of the loops. Interestingly, we find that, after sorting loops with respect to their perimeters, Zipf-like scaling relations hold for ranked loops. Numerical simulations are also provided in order to demonstrate the proposed scaling relations." @default.
- W2017665468 created "2016-06-24" @default.
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- W2017665468 date "2009-07-05" @default.
- W2017665468 modified "2023-10-06" @default.
- W2017665468 title "Scaling Relations for Contour Lines of Rough Surfaces" @default.
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- W2017665468 hasPublicationYear "2009" @default.
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