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Updated: Jun 28, 2025

Spatial Separation of Molecular Conformers and Clusters
Published on: January 9, 2014
Universal fluctuations of global geometrical measurements in planar clusters
Silvia N Santalla1, Ivan Álvarez Domenech2, Daniel Villarrubia3
1Dto. Física & GISC, Universidad Carlos III de Madrid, Leganés 28911, Spain.
Abstract:
We characterize universal features of the sample-to-sample fluctuations of global geometrical observables, such as the area, width, length, and center-of-mass position, in random growing planar clusters. Our examples are taken from simulations of both continuous and discrete models of kinetically rough interfaces, including several universality classes, such as Kardar-Parisi-Zhang. We mostly focus on the scaling behavior with time of the sample-to-sample deviation for those global magnitudes, but we have also characterized their histograms and correlations.
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