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arXiv · 2311.15275

Universal fluctuations of global geometrical measurements in planar clusters

Silvia N. Santalla·Iván Álvarez Domenech·Daniel Villarrubia·Rodolfo Cuerno·Javier Rodríguez-Laguna
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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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Silvia N. Santalla, Iván Álvarez Domenech, Daniel Villarrubia, Rodolfo Cuerno, Javier Rodríguez-Laguna. 2023-11-26. Universal fluctuations of global geometrical measurements in planar clusters. https://doi.org/10.1103/physreve.109.034127

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