Universal fluctuations of global geometrical measurements in planar clusters.
basic_science · Level V
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- Record sourced from PubMed, PMID 38632763.
- Also identified by DOI 10.1103/PhysRevE.109.034127.
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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.