Work

Arc-Length Characterization of Finite, Radial Growth Patterns

Year: 2026

Type: article

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.

Source: Langmuir

DOI: 10.1021/acs.langmuir.6c02052

Authors: Andreas Andersen Hennig, Ilaria Beechey-Newman, Natalya Kizilova, Erika Eiser

Institutions: Norwegian University of Science and Technology, Warsaw University of Technology, V. N. Karazin Kharkiv National University

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,500

Funder: Norges Forskningsråd