Arc-Length Characterization of Finite, Radial Growth Patterns
- 1PoreLab, Department of Physics, Norwegian University of Science and Technology, Høgskoleringen, Trondheim N-7491, Norway
- 2Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics, Nowowiejska, 24, Warsaw 00-665, Poland
- 3V.N. Karazin Kharkiv National University, Department of Applied Mathematics, Svobody sq., 4, Kharkiv 61-022, Ukraine
Abstract
We present a method to characterize the distribution of length scales of finite, disordered patterns with, on average, radial symmetry. This method makes it possible to quantify the distribution of characteristic length scales in cases where the conventional “linear” chord method does not work. We show that the method can clearly distinguish regular patterns, patterns that are formed by diffusion-limited aggregation, and patterns that form during the slow drying of confined, colloid-laden droplets. We also introduce a method to find the center point of these finite patterns without assuming full connectivity in the pattern. The method should be widely applicable to other finite, quasi-two-dimensional patterns, like dendritic structures, viscous fingering, liquid crystal patterns, and bacterial growth.
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BibTeX
@article{hennig2026arclength,
title = {{Arc-Length Characterization of Finite, Radial Growth Patterns}},
author = {Andreas Andersen Hennig and Ilaria Beechey-Newman and Natalya Kizilova and Erika Eiser},
journal = {Langmuir},
year = {2026},
month = aug,
doi = {10.1021/acs.langmuir.6c02052},
url = {https://doi.org/10.1021/acs.langmuir.6c02052},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Arc-Length Characterization of Finite, Radial Growth Patterns
AU - Andreas Andersen Hennig
AU - Ilaria Beechey-Newman
AU - Natalya Kizilova
AU - Erika Eiser
PY - 2026
DA - 2026/08/02
JO - Langmuir
DO - 10.1021/acs.langmuir.6c02052
UR - https://doi.org/10.1021/acs.langmuir.6c02052
AB - We present a method to characterize the distribution of length scales of finite, disordered patterns with, on average, radial symmetry. This method makes it possible to quantify the distribution of characteristic length scales in cases where the conventional “linear” chord method does not work. We show that the method can clearly distinguish regular patterns, patterns that are formed by diffusion-limited aggregation, and patterns that form during the slow drying of confined, colloid-laden droplets. We also introduce a method to find the center point of these finite patterns without assuming full connectivity in the pattern. The method should be widely applicable to other finite, quasi-two-dimensional patterns, like dendritic structures, viscous fingering, liquid crystal patterns, and bacterial growth.
SN - 0743-7463
SN - 1520-5827
ER -